EduSahara™ Assignment
Name : Solution of Pair of Linear Equations using Graphs
Chapter : Pair of Linear Equations in Two Variables
Grade : CBSE Grade X
License : Non Commercial Use
Question 1
1.
    • The point of intersection of x-axis and y-axis
  • (i)
    (
    8
    ,
    0
    )
  • (ii)
    (
    1
    ,
    0
    )
  • (iii)
    (
    1
    ,
    1
    )
  • (iv)
    (
    0
    ,
    0
    )
  • (v)
    (
    0
    ,
    6
    )
Question 2
2.
The equation of x-axis is
  • (i)
    y
    =
    1
  • (ii)
    y
    =
    0
  • (iii)
    x
    =
    1
  • (iv)
    y
    =
    x
  • (v)
    x
    =
    0
Question 3
3.
The equation of y-axis is
  • (i)
    y
    =
    0
  • (ii)
    x
    =
    1
  • (iii)
    y
    =
    x
  • (iv)
    y
    =
    1
  • (v)
    x
    =
    0
Question 4
4.
The ratio of coefficients of x and y in the equations of any two parallel lines is
  • (i)
    not proportional
  • (ii)
    1
  • (iii)
    2
  • (iv)
    same
  • (v)
    not same
Question 5
5.
Any line parallel to x-axis is
  • (i)
    a horizontal line
  • (ii)
    an oblique line
  • (iii)
    a curved line
  • (iv)
    a vertical line
Question 6
6.
Any line parallel to y-axis is
  • (i)
    a vertical line
  • (ii)
    a horizontal line
  • (iii)
    an oblique line
  • (iv)
    a curved line
Question 7
7.
A line which is neither parallel to x-axis nor y-axis is
  • (i)
    a vertical line
  • (ii)
    an oblique line
  • (iii)
    a curved line
  • (iv)
    a horizontal line
Question 8
8.
Which of the following are true ?
a)
Equations of two parallel lines differ in the constant and coefficients of x and y will not be same
b)
Equations of two parallel lines have the same constant and coefficients of x and y will be same
c)
Equations of two parallel lines differ in the constant term only, coefficients of x and y will be same
d)
Equations of two parallel lines have the same constant and coefficients of x and y will not be same
  • (i)
    {c}
  • (ii)
    {d,a,c}
  • (iii)
    {b,c}
  • (iv)
    {a,c}
Question 9
9.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
  • (i)
    y
    =
    k
  • (ii)
    x
    =
    k
  • (iii)
    y
    =
    0
  • (iv)
    x
    =
    0
  • (v)
    x
    =
    y
Question 10
10.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
  • (i)
    y
    =
    0
  • (ii)
    y
    =
    k
  • (iii)
    x
    =
    k
  • (iv)
    x
    =
    0
  • (v)
    x
    =
    y
Question 11
11.
    • Write the given equation
    		•
      y
      =
      (
      −
      2
      5
      x
      −
      8
      5
      		)
    • in
    • a
      x
      +
      b
      y
      +
      c
      = 0
    • form
  • (i)
    (
    2
    7
    x
    +
    y
    +
    8
    5
    		)
    =
    0
  • (ii)
    (
    2
    3
    x
    +
    y
    +
    8
    5
    		)
    =
    0
  • (iii)
    (
    2
    5
    x
    +
    4
    y
    +
    8
    5
    		)
    =
    0
  • (iv)
    (
    2
    5
    x
    +
    y
    +
    8
    5
    		)
    =
    0
  • (v)
    (
    2
    5
    x
    −
    y
    +
    8
    5
    		)
    =
    0
Question 12
12.
Find the equation parallel to the given equation
  • (i)
    (
    −
    7
    x
    +
    4
    y
    −
    35
    		)
    =
    0
  • (ii)
    (
    −
    3
    x
    +
    4
    y
    −
    2
    		)
    =
    0
  • (iii)
    (
    −
    4
    x
    −
    3
    y
    +
    16
    		)
    =
    0
  • (iv)
    (
    x
    +
    4
    y
    −
    29
    		)
    =
    0
Question 13
13.
    • Find the equation parallel to the given equation
    • (
      7
      x
      +
      y
      −
      4
      		)
      =
      0
  • (i)
    (
    −
    x
    +
    7
    y
    −
    59
    		)
    =
    0
  • (ii)
    (
    −
    8
    x
    +
    7
    y
    +
    8
    		)
    =
    0
  • (iii)
    (
    7
    x
    +
    y
    −
    2
    		)
    =
    0
  • (iv)
    (
    6
    x
    +
    y
    −
    6
    		)
    =
    0
Question 14
14.
Find the equation of the displayed line
  • (i)
    y
    =
    2
  • (ii)
    x
    =
    1
  • (iii)
    y
    =
    0
  • (iv)
    y
    =
    1
  • (v)
    4
    y
    =
    1
Question 15
15.
Find the equation of the displayed line
  • (i)
    3
    x
    =
    (
    −
    6
    		)
  • (ii)
    y
    =
    (
    −
    6
    		)
  • (iii)
    x
    =
    (
    −
    6
    		)
  • (iv)
    x
    =
    (
    −
    5
    		)
  • (v)
    x
    =
    (
    −
    7
    		)
Question 16
16.
    • Find the equation of the line passing through the points
    • (
      (
      −
      8
      )
      ,
      1
      )
    • and
    • (
      (
      −
      4
      )
      ,
      1
      )
  • (i)
    (
    −
    4
    y
    +
    4
    		)
    =
    0
  • (ii)
    (
    −
    5
    y
    +
    4
    		)
    =
    0
  • (iii)
    (
    −
    3
    y
    +
    4
    		)
    =
    0
  • (iv)
    (
    y
    −
    2
    		)
    =
    0
  • (v)
    (
    y
    −
    1
    		)
    =
    0
Question 17
17.
The equation of the x-axis is
a)
    • y
      =
      1
b)
    • x
      =
      1
c)
    • x
      =
      y
d)
    • y
      =
      0
e)
    • x
      =
      0
  • (i)
    {c,e,d}
  • (ii)
    {b,d}
  • (iii)
    {d}
  • (iv)
    {a,d}
Question 18
18.
    • Find the equation of a straight line parallel to x-axis and
    • passing through the point
    • (
      (
      −
      9
      )
      ,
      1
      )
  • (i)
    x
    =
    (
    −
    6
    		)
  • (ii)
    x
    =
    (
    −
    9
    		)
  • (iii)
    y
    =
    3
  • (iv)
    y
    =
    0
  • (v)
    y
    =
    1
Question 19
19.
    • Find the equation of a straight line parallel to y-axis and
    • passing through the point
    • (
      4
      ,
      4
      )
  • (i)
    y
    =
    4
  • (ii)
    y
    =
    6
  • (iii)
    x
    =
    3
  • (iv)
    x
    =
    4
  • (v)
    x
    =
    6
Question 20
20.
    • Find the value of k such that
    • (
      12
      x
      −
      13
      y
      +
      6
      		)
      =
      0
    • and
    • (
      k
      x
      		  +  
      13
      y
      		  +  
      18
      ) = 0
    • are parallel to each other
  • (i)
    -15
  • (ii)
    -13
  • (iii)
    -11
  • (iv)
    -12
  • (v)
    -10
Question 21
21.
    • Which of the following pairs of lines are parallel?
  • (i)
      • (
        −
        6
        x
        +
        2
        y
        +
        18
        		)
        =
        0
      • ,
      • (
        −
        8
        x
        +
        2
        y
        −
        26
        		)
        =
        0
  • (ii)
      • (
        −
        6
        x
        +
        2
        y
        +
        18
        		)
        =
        0
      • ,
      • (
        −
        2
        x
        +
        3
        y
        +
        16
        		)
        =
        0
  • (iii)
      • (
        −
        6
        x
        +
        2
        y
        +
        18
        		)
        =
        0
      • ,
      • (
        x
        +
        3
        y
        +
        10
        		)
        =
        0
  • (iv)
      • (
        −
        6
        x
        +
        2
        y
        +
        18
        		)
        =
        0
      • ,
      • (
        −
        6
        x
        +
        2
        y
        −
        20
        		)
        =
        0
Question 22
22.
    • Find the set of points satisfying the equation
    • (
      −
      16
      x
      −
      6
      y
      +
      70
      		)
      =
      0
  • (i)
    • (
      (
      −
      2
      )
      ,
      17
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      43
      3
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      29
      3
      )
    • ,
    • (
      1
      ,
      9
      )
    • ,
    • (
      2
      ,
      19
      3
      )
  • (ii)
    • (
      (
      −
      2
      )
      ,
      17
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      43
      3
      )
    • ,
    • (
      1
      ,
      32
      3
      )
    • ,
    • (
      1
      ,
      9
      )
    • ,
    • (
      2
      ,
      19
      3
      )
  • (iii)
    • (
      (
      −
      2
      )
      ,
      17
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      43
      3
      )
    • ,
    • (
      0
      ,
      35
      3
      )
    • ,
    • (
      1
      ,
      9
      )
    • ,
    • (
      4
      ,
      25
      3
      )
  • (iv)
    • (
      (
      −
      2
      )
      ,
      17
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      43
      3
      )
    • ,
    • (
      0
      ,
      35
      3
      )
    • ,
    • (
      1
      ,
      9
      )
    • ,
    • (
      2
      ,
      19
      3
      )
  • (v)
    • (
      (
      −
      2
      )
      ,
      17
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      43
      3
      )
    • ,
    • (
      0
      ,
      35
      3
      )
    • ,
    • (
      0
      ,
      10
      )
    • ,
    • (
      2
      ,
      19
      3
      )
Question 23
23.
    • Find the set of points satisfying the equation
    		•
      y
      =
      (
      −
      4
      x
      −
      11
      		)
  • (i)
    • (
      (
      −
      2
      )
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      7
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      11
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      14
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      19
      )
      )
  • (ii)
    • (
      (
      −
      2
      )
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      7
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      12
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      15
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      19
      )
      )
  • (iii)
    • (
      (
      −
      2
      )
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      7
      )
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      13
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      15
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      19
      )
      )
  • (iv)
    • (
      (
      −
      2
      )
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      7
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      11
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      15
      )
      )
    • ,
    • (
      4
      ,
      (
      −
      17
      )
      )
  • (v)
    • (
      (
      −
      2
      )
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      7
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      11
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      15
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      19
      )
      )
Question 24
24.
    • Find the set of points satisfying the equation
    		•
      x
      =
      (
      7
      13
      y
      +
      54
      13
      		)
  • (i)
    • (
      (
      −
      2
      )
      ,
      (
      −
      80
      7
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      67
      7
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      61
      7
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      41
      7
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      4
      )
      )
  • (ii)
    • (
      (
      −
      2
      )
      ,
      (
      −
      80
      7
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      67
      7
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      54
      7
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      41
      7
      )
      )
    • ,
    • (
      4
      ,
      (
      −
      2
      )
      )
  • (iii)
    • (
      (
      −
      2
      )
      ,
      (
      −
      80
      7
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      67
      7
      )
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      68
      7
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      41
      7
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      4
      )
      )
  • (iv)
    • (
      (
      −
      2
      )
      ,
      (
      −
      80
      7
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      67
      7
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      54
      7
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      41
      7
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      4
      )
      )
  • (v)
    • (
      (
      −
      2
      )
      ,
      (
      −
      80
      7
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      67
      7
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      54
      7
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      34
      7
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      4
      )
      )
Question 25
25.
    • Find the set of points satisfying the equation
    		•
      y
      =
      (
      −
      7
      3
      x
      		)
  • (i)
    • (
      (
      −
      2
      )
      ,
      14
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      7
      3
      )
    • ,
    • (
      1
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      7
      3
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      14
      3
      )
      )
  • (ii)
    • (
      (
      −
      2
      )
      ,
      14
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      7
      3
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      0
      ,
      (
      −
      4
      3
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      14
      3
      )
      )
  • (iii)
    • (
      (
      −
      2
      )
      ,
      14
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      7
      3
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      (
      −
      7
      3
      )
      )
    • ,
    • (
      4
      ,
      (
      −
      8
      3
      )
      )
  • (iv)
    • (
      (
      −
      2
      )
      ,
      14
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      7
      3
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      (
      −
      7
      3
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      14
      3
      )
      )
  • (v)
    • (
      (
      −
      2
      )
      ,
      14
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      7
      3
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      7
      3
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      14
      3
      )
      )
Question 26
26.
    • Find the set of points satisfying the equation
    • (
      9
      x
      +
      6
      y
      −
      1
      		)
      =
      0
  • (i)
    • (
      (
      −
      2
      )
      ,
      19
      6
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      5
      3
      )
    • ,
    • (
      0
      ,
      1
      6
      )
    • ,
    • (
      1
      ,
      (
      −
      4
      3
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      17
      6
      )
      )
  • (ii)
    • (
      (
      −
      2
      )
      ,
      19
      6
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      5
      3
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      11
      6
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      4
      3
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      17
      6
      )
      )
  • (iii)
    • (
      (
      −
      2
      )
      ,
      19
      6
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      5
      3
      )
    • ,
    • (
      1
      ,
      (
      −
      5
      6
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      4
      3
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      17
      6
      )
      )
  • (iv)
    • (
      (
      −
      2
      )
      ,
      19
      6
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      5
      3
      )
    • ,
    • (
      0
      ,
      1
      6
      )
    • ,
    • (
      1
      ,
      (
      −
      4
      3
      )
      )
    • ,
    • (
      4
      ,
      (
      −
      5
      6
      )
      )
  • (v)
    • (
      (
      −
      2
      )
      ,
      19
      6
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      5
      3
      )
    • ,
    • (
      0
      ,
      1
      6
      )
    • ,
    • (
      0
      ,
      (
      −
      1
      3
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      17
      6
      )
      )
Question 27
27.
    • Find the set of points satisfying the equation
    		•
      y
      =
      (
      −
      8
      		)
  • (i)
    • (
      (
      −
      2
      )
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      4
      ,
      (
      −
      6
      )
      )
  • (ii)
    • (
      (
      −
      2
      )
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      8
      )
      )
  • (iii)
    • (
      (
      −
      2
      )
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      7
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      8
      )
      )
  • (iv)
    • (
      (
      −
      2
      )
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      9
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      8
      )
      )
  • (v)
    • (
      (
      −
      2
      )
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      10
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      8
      )
      )
Question 28
28.
    • Find the set of points satisfying the equation
    		•
      x
      =
      (
      −
      3
      		)
  • (i)
    • (
      (
      −
      3
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      4
      )
      ,
      2
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      2
      )
  • (ii)
    • (
      (
      −
      3
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      (
      −
      5
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      1
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      2
      )
  • (iii)
    • (
      (
      −
      3
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      1
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      4
      )
  • (iv)
    • (
      (
      −
      3
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      1
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      2
      )
  • (v)
    • (
      (
      −
      3
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      1
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      2
      )
Question 29
29.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        2
        )
        ,
        4
        )
      • ,
      • (
        (
        −
        1
        )
        ,
        3
        )
      • ,
      • (
        0
        ,
        2
        )
      • ,
      • (
        1
        ,
        1
        )
      • ,
      • (
        2
        ,
        0
        )
    • ?
  • (i)
    x
    =
    (
    y
    +
    8
    		)
  • (ii)
    (
    −
    12
    x
    −
    12
    y
    +
    24
    		)
    =
    0
  • (iii)
    y
    =
    (
    −
    x
    −
    8
    		)
  • (iv)
    y
    =
    (
    −
    8
    		)
  • (v)
    (
    5
    x
    +
    7
    y
    −
    3
    		)
    =
    0
Question 30
30.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        2
        )
        ,
        4
        3
        )
      • ,
      • (
        (
        −
        1
        )
        ,
        1
        2
        )
      • ,
      • (
        0
        ,
        (
        −
        1
        3
        )
        )
      • ,
      • (
        1
        ,
        (
        −
        7
        6
        )
        )
      • ,
      • (
        2
        ,
        (
        −
        2
        )
        )
    • ?
  • (i)
    y
    =
    (
    −
    7
    		)
  • (ii)
    x
    =
    8
  • (iii)
    (
    6
    x
    +
    35
    y
    −
    5
    		)
    =
    0
  • (iv)
    (
    −
    5
    x
    −
    6
    y
    +
    9
    		)
    =
    0
  • (v)
    y
    =
    (
    −
    5
    6
    x
    −
    1
    3
    		)
Question 31
31.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        2
        )
        ,
        9
        8
        )
      • ,
      • (
        (
        −
        1
        )
        ,
        5
        8
        )
      • ,
      • (
        0
        ,
        1
        8
        )
      • ,
      • (
        1
        ,
        (
        −
        3
        8
        )
        )
      • ,
      • (
        2
        ,
        (
        −
        7
        8
        )
        )
    • ?
  • (i)
    x
    =
    (
    2
    3
    y
    +
    5
    3
    		)
  • (ii)
    x
    =
    (
    −
    3
    		)
  • (iii)
    (
    −
    4
    x
    −
    6
    y
    +
    4
    		)
    =
    0
  • (iv)
    y
    =
    (
    −
    2
    3
    x
    −
    9
    		)
  • (v)
    (
    4
    x
    +
    8
    y
    −
    1
    		)
    =
    0
Question 32
32.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        2
        )
        ,
        (
        −
        9
        )
        )
      • ,
      • (
        (
        −
        1
        )
        ,
        (
        −
        9
        )
        )
      • ,
      • (
        0
        ,
        (
        −
        9
        )
        )
      • ,
      • (
        1
        ,
        (
        −
        9
        )
        )
      • ,
      • (
        2
        ,
        (
        −
        9
        )
        )
    • ?
  • (i)
    x
    =
    2
  • (ii)
    (
    14
    x
    +
    21
    y
    −
    6
    		)
    =
    0
  • (iii)
    y
    =
    (
    −
    10
    13
    x
    −
    97
    13
    		)
  • (iv)
    y
    =
    (
    −
    9
    		)
  • (v)
    (
    −
    10
    x
    −
    13
    y
    −
    34
    		)
    =
    0
Question 33
33.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        8
        )
        ,
        (
        −
        2
        )
        )
      • ,
      • (
        (
        −
        8
        )
        ,
        (
        −
        1
        )
        )
      • ,
      • (
        (
        −
        8
        )
        ,
        0
        )
      • ,
      • (
        (
        −
        8
        )
        ,
        1
        )
      • ,
      • (
        (
        −
        8
        )
        ,
        2
        )
    • ?
  • (i)
    x
    =
    (
    −
    8
    		)
  • (ii)
    y
    =
    (
    −
    1
    		)
  • (iii)
    x
    =
    (
    11
    13
    y
    −
    93
    13
    		)
  • (iv)
    (
    −
    11
    x
    −
    13
    y
    +
    60
    		)
    =
    0
  • (v)
    y
    =
    (
    −
    11
    13
    x
    −
    101
    13
    		)
Question 34
34.
    • Which of the displayed lines represent the equation
    • (
      3
      x
      −
      4
      y
      +
      10
      		)
      =
      0
    • ?
  • (i)
      • line with point
      • S
  • (ii)
      • line with point
      • U
  • (iii)
      • line with point
      • R
  • (iv)
      • line with point
      • Q
  • (v)
      • line with point
      • T
Question 35
35.
    • Which of the displayed lines represent the equation
    • y
      =
      3
  • (i)
      • line with point
      • T
  • (ii)
      • line with point
      • X
  • (iii)
      • line with point
      • W
  • (iv)
      • line with point
      • V
  • (v)
      • line with point
      • U
Question 36
36.
    • Which of the displayed lines represent the equation
    • x
      =
      7
  • (i)
      • line with point
      • Q
  • (ii)
      • line with point
      • P
  • (iii)
      • line with point
      • M
  • (iv)
      • line with point
      • N
  • (v)
      • line with point
      • O
Question 37
37.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      5
      3
      x
      +
      3
      		)
  • (i)
      • line with point
      • P
  • (ii)
      • line with point
      • R
  • (iii)
      • line with point
      • S
  • (iv)
      • line with point
      • Q
  • (v)
      • line with point
      • T
Question 38
38.
    • Which of the displayed lines represent the equation
    • y
      =
      5
      9
      x
  • (i)
      • line with point
      • T
  • (ii)
      • line with point
      • R
  • (iii)
      • line with point
      • S
  • (iv)
      • line with point
      • U
  • (v)
      • line with point
      • Q
Question 39
39.
    • Solve
    •  
    • (
      −
      8
      x
      −
      2
      y
      +
      28
      		)
      =
      0
      (
      7
      x
      +
      5
      y
      −
      5
      		)
      =
      0
  • (i)
    (
    3
    ,
    (
    −
    8
    )
    )
  • (ii)
    (
    6
    ,
    (
    −
    7
    )
    )
  • (iii)
    (
    5
    ,
    (
    −
    6
    )
    )
  • (iv)
    (
    4
    ,
    (
    −
    5
    )
    )
  • (v)
    (
    7
    ,
    (
    −
    4
    )
    )
Question 40
40.
    • Solve
    •  
    • (
      −
      8
      x
      −
      9
      y
      +
      23
      		)
      =
      0
      (
      8
      y
      +
      8
      		)
      =
      0
  • (i)
    (
    4
    ,
    (
    −
    1
    )
    )
  • (ii)
    (
    2
    ,
    (
    −
    3
    )
    )
  • (iii)
    (
    6
    ,
    1
    )
  • (iv)
    (
    6
    ,
    2
    )
  • (v)
    (
    9
    ,
    5
    )
Question 41
41.
    • Solve
    •  
    • (
      x
      +
      5
      		)
      =
      0
      (
      x
      +
      2
      		)
      =
      0
  • (i)
    (
    (
    −
    1
    )
    ,
    (
    −
    3
    )
    )
  • (ii)
    (
    4
    ,
    (
    −
    2
    )
    )
  • (iii)
    Infinite solutions
  • (iv)
    (
    6
    ,
    0
    )
  • (v)
    No solution
Question 42
42.
    • Solve
    •  
    • (
      y
      −
      2
      		)
      =
      0
      (
      y
      −
      6
      		)
      =
      0
  • (i)
    No solution
  • (ii)
    (
    (
    −
    9
    )
    ,
    (
    −
    4
    )
    )
  • (iii)
    Infinite solutions
  • (iv)
    (
    (
    −
    7
    )
    ,
    (
    −
    2
    )
    )
  • (v)
    (
    (
    −
    1
    )
    ,
    (
    −
    2
    )
    )
Question 43
43.
    • Solve
    •  
    • (
      6
      x
      +
      13
      y
      +
      29
      		)
      =
      0
      (
      6
      x
      +
      13
      y
      −
      67
      		)
      =
      0
  • (i)
    (
    (
    −
    4
    )
    ,
    7
    )
  • (ii)
    (
    4
    ,
    (
    −
    7
    )
    )
  • (iii)
    Infinite solutions
  • (iv)
    (
    6
    ,
    (
    −
    5
    )
    )
  • (v)
    No solution
Question 44
44.
    • Solve
    •  
    • (
      3
      x
      −
      3
      y
      +
      3
      		)
      =
      0
      (
      6
      x
      −
      6
      y
      +
      6
      		)
      =
      0
  • (i)
    (
    0
    ,
    1
    )
  • (ii)
    No solution
  • (iii)
    (
    3
    ,
    4
    )
  • (iv)
    (
    6
    ,
    4
    )
  • (v)
    Infinite solutions
Question 45
45.
    • Solve
    •  
    • (
      −
      5
      x
      +
      y
      +
      6
      		)
      =
      0
      (
      y
      +
      1
      		)
      =
      0
  • (i)
    (
    0
    ,
    (
    −
    6
    )
    )
  • (ii)
    (
    1
    ,
    0
    )
  • (iii)
    (
    0
    ,
    (
    −
    1
    )
    )
  • (iv)
    (
    7
    ,
    (
    −
    5
    )
    )
  • (v)
    (
    1
    ,
    (
    −
    1
    )
    )
Question 46
46.
    • Solve
    •  
    • (
      −
      5
      x
      −
      y
      +
      8
      		)
      =
      0
      (
      x
      −
      1
      		)
      =
      0
  • (i)
    (
    1
    ,
    3
    )
  • (ii)
    (
    (
    −
    2
    )
    ,
    3
    )
  • (iii)
    (
    0
    ,
    3
    )
  • (iv)
    (
    2
    ,
    (
    −
    2
    )
    )
  • (v)
    (
    1
    ,
    0
    )
Question 47
47.
    • Solve
    •  
    • (
      −
      9
      x
      +
      7
      y
      +
      3
      		)
      =
      0
      (
      9
      x
      +
      4
      y
      +
      30
      		)
      =
      0
  • (i)
    (
    (
    −
    4
    )
    ,
    (
    −
    5
    )
    )
  • (ii)
    (
    (
    −
    2
    )
    ,
    (
    −
    3
    )
    )
  • (iii)
    (
    (
    −
    1
    )
    ,
    (
    −
    4
    )
    )
  • (iv)
    (
    (
    −
    3
    )
    ,
    (
    −
    2
    )
    )
  • (v)
    (
    0
    ,
    (
    −
    1
    )
    )
Question 48
48.
    • Solve
    •  
    • (
      −
      4
      x
      −
      11
      y
      +
      5
      		)
      =
      0
      (
      −
      x
      −
      2
      y
      +
      2
      		)
      =
      0
  • (i)
    (
    4
    ,
    (
    −
    1
    )
    )
  • (ii)
    (
    4
    ,
    5
    )
  • (iii)
    (
    2
    ,
    (
    −
    3
    )
    )
  • (iv)
    (
    2
    ,
    5
    )
  • (v)
    (
    6
    ,
    1
    )
Question 49
49.
    • Solve
    •  
    • (
      x
      −
      7
      		)
      =
      0
      (
      x
      −
      5
      		)
      =
      0
  • (i)
    No solution
  • (ii)
    Infinite solutions
  • (iii)
    (
    3
    ,
    2
    )
  • (iv)
    (
    7
    ,
    6
    )
  • (v)
    (
    5
    ,
    4
    )
Question 50
50.
    • Solve
    •  
    • (
      y
      +
      6
      		)
      =
      0
      (
      y
      −
      6
      		)
      =
      0
  • (i)
    No solution
  • (ii)
    (
    7
    ,
    7
    )
  • (iii)
    (
    5
    ,
    2
    )
  • (iv)
    Infinite solutions
  • (v)
    (
    3
    ,
    0
    )
Question 51
51.
    • Solve
    •  
    • (
      5
      x
      +
      5
      y
      −
      5
      		)
      =
      0
      (
      5
      x
      +
      5
      y
      +
      10
      		)
      =
      0
  • (i)
    No solution
  • (ii)
    (
    5
    ,
    (
    −
    7
    )
    )
  • (iii)
    Infinite solutions
  • (iv)
    (
    (
    −
    1
    )
    ,
    (
    −
    2
    )
    )
  • (v)
    (
    1
    ,
    0
    )
Question 52
52.
    • Solve
    •  
    • (
      3
      y
      −
      9
      		)
      =
      0
      (
      6
      y
      −
      18
      		)
      =
      0
  • (i)
    (
    (
    −
    2
    )
    ,
    (
    −
    3
    )
    )
  • (ii)
    No solution
  • (iii)
    Infinite solutions
  • (iv)
    (
    (
    −
    4
    )
    ,
    3
    )
  • (v)
    (
    (
    −
    7
    )
    ,
    3
    )
Question 53
53.
    • Solve
    •  
    • (
      −
      6
      y
      −
      42
      		)
      =
      0
      (
      y
      +
      7
      		)
      =
      0
  • (i)
    (
    5
    ,
    (
    −
    7
    )
    )
  • (ii)
    (
    (
    −
    1
    )
    ,
    (
    −
    7
    )
    )
  • (iii)
    (
    (
    −
    1
    )
    ,
    0
    )
  • (iv)
    (
    1
    ,
    7
    )
  • (v)
    (
    0
    ,
    (
    −
    7
    )
    )
Question 54
54.
    • Solve
    •  
    • (
      −
      4
      x
      −
      12
      		)
      =
      0
      (
      x
      +
      3
      		)
      =
      0
  • (i)
    (
    (
    −
    3
    )
    ,
    1
    )
  • (ii)
    (
    (
    −
    6
    )
    ,
    3
    )
  • (iii)
    (
    (
    −
    3
    )
    ,
    5
    )
  • (iv)
    (
    0
    ,
    5
    )
  • (v)
    (
    (
    −
    3
    )
    ,
    0
    )
    Assignment Key
  •  1) (iv)
  •  2) (ii)
  •  3) (v)
  •  4) (iv)
  •  5) (i)
  •  6) (i)
  •  7) (ii)
  •  8) (i)
  •  9) (i)
  •  10) (iii)
  •  11) (iv)
  •  12) (ii)
  •  13) (iii)
  •  14) (iv)
  •  15) (iii)
  •  16) (i)
  •  17) (iii)
  •  18) (v)
  •  19) (iv)
  •  20) (iv)
  •  21) (iv)
  •  22) (iv)
  •  23) (v)
  •  24) (iv)
  •  25) (iv)
  •  26) (i)
  •  27) (ii)
  •  28) (v)
  •  29) (ii)
  •  30) (v)
  •  31) (v)
  •  32) (iv)
  •  33) (i)
  •  34) (iv)
  •  35) (i)
  •  36) (iii)
  •  37) (i)
  •  38) (v)
  •  39) (iii)
  •  40) (i)
  •  41) (v)
  •  42) (i)
  •  43) (v)
  •  44) (v)
  •  45) (v)
  •  46) (i)
  •  47) (ii)
  •  48) (i)
  •  49) (i)
  •  50) (i)
  •  51) (i)
  •  52) (iii)
  •  53) (ii)
  •  54) (iii)