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)
    (
    1
    ,
    0
    )
  • (ii)
    (
    2
    ,
    0
    )
  • (iii)
    (
    0
    ,
    0
    )
  • (iv)
    (
    0
    ,
    9
    )
  • (v)
    (
    1
    ,
    1
    )
Question 2
2.
The equation of x-axis is
  • (i)
    y
    =
    0
  • (ii)
    y
    =
    1
  • (iii)
    x
    =
    0
  • (iv)
    x
    =
    1
  • (v)
    y
    =
    x
Question 3
3.
The equation of y-axis is
  • (i)
    y
    =
    0
  • (ii)
    y
    =
    1
  • (iii)
    x
    =
    1
  • (iv)
    x
    =
    0
  • (v)
    y
    =
    x
Question 4
4.
The ratio of coefficients of x and y in the equations of any two parallel lines is
  • (i)
    same
  • (ii)
    not proportional
  • (iii)
    2
  • (iv)
    not same
  • (v)
    1
Question 5
5.
Any line parallel to x-axis is
  • (i)
    an oblique line
  • (ii)
    a curved line
  • (iii)
    a horizontal line
  • (iv)
    a vertical line
Question 6
6.
Any line parallel to y-axis is
  • (i)
    a curved line
  • (ii)
    a horizontal line
  • (iii)
    a vertical line
  • (iv)
    an oblique line
Question 7
7.
A line which is neither parallel to x-axis nor y-axis is
  • (i)
    a horizontal line
  • (ii)
    an oblique line
  • (iii)
    a vertical line
  • (iv)
    a curved 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 differ in the constant term only, coefficients of x and y will be same
c)
Equations of two parallel lines have the same constant and 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)
    {a,b}
  • (ii)
    {b}
  • (iii)
    {c,b}
  • (iv)
    {d,a,b}
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
    =
    y
  • (iii)
    x
    =
    k
  • (iv)
    x
    =
    0
  • (v)
    y
    =
    0
Question 10
10.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
  • (i)
    x
    =
    0
  • (ii)
    y
    =
    0
  • (iii)
    x
    =
    y
  • (iv)
    y
    =
    k
  • (v)
    x
    =
    k
Question 11
11.
    • Write the given equation
    		•
      y
      =
      (
      −
      15
      11
      x
      +
      13
      11
      		)
    • in
    • a
      x
      +
      b
      y
      +
      c
      = 0
    • form
  • (i)
    (
    15
    11
    x
    −
    y
    −
    13
    11
    		)
    =
    0
  • (ii)
    (
    15
    11
    x
    +
    4
    y
    −
    13
    11
    		)
    =
    0
  • (iii)
    (
    15
    11
    x
    +
    y
    −
    13
    11
    		)
    =
    0
  • (iv)
    (
    17
    13
    x
    +
    y
    −
    13
    11
    		)
    =
    0
  • (v)
    (
    13
    9
    x
    +
    y
    −
    13
    11
    		)
    =
    0
Question 12
12.
Find the equation parallel to the given equation
  • (i)
    (
    −
    7
    x
    +
    5
    y
    +
    51
    		)
    =
    0
  • (ii)
    (
    −
    5
    x
    −
    2
    y
    −
    10
    		)
    =
    0
  • (iii)
    (
    3
    x
    +
    5
    y
    +
    5
    		)
    =
    0
  • (iv)
    (
    −
    2
    x
    +
    5
    y
    −
    4
    		)
    =
    0
Question 13
13.
    • Find the equation parallel to the given equation
    • (
      −
      5
      x
      −
      4
      y
      −
      1
      		)
      =
      0
  • (i)
    (
    −
    9
    x
    +
    5
    y
    +
    102
    		)
    =
    0
  • (ii)
    (
    −
    4
    x
    +
    5
    y
    −
    8
    		)
    =
    0
  • (iii)
    (
    x
    +
    4
    y
    −
    12
    		)
    =
    0
  • (iv)
    (
    −
    5
    x
    −
    4
    y
    +
    8
    		)
    =
    0
Question 14
14.
Find the equation of the displayed line
  • (i)
    x
    =
    1
  • (ii)
    y
    =
    1
  • (iii)
    y
    =
    0
  • (iv)
    4
    y
    =
    1
  • (v)
    y
    =
    2
Question 15
15.
Find the equation of the displayed line
  • (i)
    x
    =
    2
  • (ii)
    y
    =
    3
  • (iii)
    x
    =
    3
  • (iv)
    x
    =
    4
  • (v)
    4
    x
    =
    3
Question 16
16.
    • Find the equation of the line passing through the points
    • (
      3
      ,
      2
      )
    • and
    • (
      2
      ,
      1
      )
  • (i)
    (
    −
    x
    +
    y
    		)
    =
    0
  • (ii)
    (
    −
    2
    x
    +
    y
    +
    1
    		)
    =
    0
  • (iii)
    (
    −
    x
    +
    y
    +
    1
    		)
    =
    0
  • (iv)
    (
    y
    +
    1
    		)
    =
    0
  • (v)
    (
    −
    x
    +
    y
    +
    2
    		)
    =
    0
Question 17
17.
The equation of the x-axis is
a)
    • x
      =
      0
b)
    • y
      =
      1
c)
    • x
      =
      1
d)
    • x
      =
      y
e)
    • y
      =
      0
  • (i)
    {c,d,e}
  • (ii)
    {b,e}
  • (iii)
    {e}
  • (iv)
    {a,e}
Question 18
18.
    • Find the equation of a straight line parallel to x-axis and
    • passing through the point
    • (
      2
      ,
      7
      )
  • (i)
    y
    =
    10
  • (ii)
    x
    =
    4
  • (iii)
    x
    =
    2
  • (iv)
    y
    =
    6
  • (v)
    y
    =
    7
Question 19
19.
    • Find the equation of a straight line parallel to y-axis and
    • passing through the point
    • (
      (
      −
      3
      )
      ,
      (
      −
      4
      )
      )
  • (i)
    x
    =
    (
    −
    1
    		)
  • (ii)
    x
    =
    (
    −
    4
    		)
  • (iii)
    y
    =
    (
    −
    4
    		)
  • (iv)
    x
    =
    (
    −
    3
    		)
  • (v)
    y
    =
    (
    −
    2
    		)
Question 20
20.
    • Find the value of k such that
    • (
      −
      2
      x
      −
      6
      y
      −
      18
      		)
      =
      0
    • and
    • (
      k
      x
      		  +  
      3
      y
      		  +  
      4
      ) = 0
    • are parallel to each other
  • (i)
    -1
  • (ii)
    1
  • (iii)
    2
  • (iv)
    0
  • (v)
    3
Question 21
21.
    • Which of the following pairs of lines are parallel?
  • (i)
      • (
        −
        5
        x
        −
        4
        y
        +
        18
        		)
        =
        0
      • ,
      • (
        x
        +
        4
        y
        		)
        =
        0
  • (ii)
      • (
        −
        5
        x
        −
        4
        y
        +
        18
        		)
        =
        0
      • ,
      • (
        −
        9
        x
        +
        5
        y
        −
        76
        		)
        =
        0
  • (iii)
      • (
        −
        5
        x
        −
        4
        y
        +
        18
        		)
        =
        0
      • ,
      • (
        −
        4
        x
        +
        5
        y
        −
        56
        		)
        =
        0
  • (iv)
      • (
        −
        5
        x
        −
        4
        y
        +
        18
        		)
        =
        0
      • ,
      • (
        5
        x
        +
        4
        y
        −
        16
        		)
        =
        0
Question 22
22.
    • Find the set of points satisfying the equation
    • (
      −
      17
      x
      −
      4
      y
      −
      87
      		)
      =
      0
  • (i)
    • (
      (
      −
      2
      )
      ,
      (
      −
      53
      4
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      35
      2
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      87
      4
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      25
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      121
      4
      )
      )
  • (ii)
    • (
      (
      −
      2
      )
      ,
      (
      −
      53
      4
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      35
      2
      )
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      95
      4
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      26
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      121
      4
      )
      )
  • (iii)
    • (
      (
      −
      2
      )
      ,
      (
      −
      53
      4
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      35
      2
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      87
      4
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      26
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      121
      4
      )
      )
  • (iv)
    • (
      (
      −
      2
      )
      ,
      (
      −
      53
      4
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      35
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      91
      4
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      26
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      121
      4
      )
      )
  • (v)
    • (
      (
      −
      2
      )
      ,
      (
      −
      53
      4
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      35
      2
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      87
      4
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      26
      )
      )
    • ,
    • (
      4
      ,
      (
      −
      113
      4
      )
      )
Question 23
23.
    • Find the set of points satisfying the equation
    		•
      y
      =
      (
      17
      4
      x
      −
      19
      4
      		)
  • (i)
    • (
      (
      −
      2
      )
      ,
      (
      −
      53
      4
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      9
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      19
      4
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      1
      2
      )
      )
    • ,
    • (
      2
      ,
      15
      4
      )
  • (ii)
    • (
      (
      −
      2
      )
      ,
      (
      −
      53
      4
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      9
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      19
      4
      )
      )
    • ,
    • (
      0
      ,
      1
      2
      )
    • ,
    • (
      2
      ,
      15
      4
      )
  • (iii)
    • (
      (
      −
      2
      )
      ,
      (
      −
      53
      4
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      9
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      23
      4
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      1
      2
      )
      )
    • ,
    • (
      2
      ,
      15
      4
      )
  • (iv)
    • (
      (
      −
      2
      )
      ,
      (
      −
      53
      4
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      9
      )
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      27
      4
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      1
      2
      )
      )
    • ,
    • (
      2
      ,
      15
      4
      )
  • (v)
    • (
      (
      −
      2
      )
      ,
      (
      −
      53
      4
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      9
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      19
      4
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      1
      2
      )
      )
    • ,
    • (
      4
      ,
      23
      4
      )
Question 24
24.
    • Find the set of points satisfying the equation
    		•
      x
      =
      (
      −
      7
      12
      y
      −
      9
      4
      		)
  • (i)
    • (
      (
      −
      2
      )
      ,
      (
      −
      3
      7
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      15
      7
      )
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      41
      7
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      39
      7
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      51
      7
      )
      )
  • (ii)
    • (
      (
      −
      2
      )
      ,
      (
      −
      3
      7
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      15
      7
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      27
      7
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      32
      7
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      51
      7
      )
      )
  • (iii)
    • (
      (
      −
      2
      )
      ,
      (
      −
      3
      7
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      15
      7
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      27
      7
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      39
      7
      )
      )
    • ,
    • (
      4
      ,
      (
      −
      37
      7
      )
      )
  • (iv)
    • (
      (
      −
      2
      )
      ,
      (
      −
      3
      7
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      15
      7
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      27
      7
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      39
      7
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      51
      7
      )
      )
  • (v)
    • (
      (
      −
      2
      )
      ,
      (
      −
      3
      7
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      15
      7
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      34
      7
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      39
      7
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      51
      7
      )
      )
Question 25
25.
    • Find the set of points satisfying the equation
    		•
      y
      =
      (
      −
      x
      		)
  • (i)
    • (
      (
      −
      2
      )
      ,
      2
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      1
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      2
      ,
      (
      −
      2
      )
      )
  • (ii)
    • (
      (
      −
      2
      )
      ,
      2
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      1
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      4
      ,
      0
      )
  • (iii)
    • (
      (
      −
      2
      )
      ,
      2
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      1
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      2
      )
      )
  • (iv)
    • (
      (
      −
      2
      )
      ,
      2
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      1
      )
    • ,
    • (
      1
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      2
      )
      )
  • (v)
    • (
      (
      −
      2
      )
      ,
      2
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      1
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      2
      )
      )
Question 26
26.
    • Find the set of points satisfying the equation
    • (
      2
      x
      +
      2
      y
      −
      1
      		)
      =
      0
  • (i)
    • (
      (
      −
      2
      )
      ,
      5
      2
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      3
      2
      )
    • ,
    • (
      0
      ,
      1
      2
      )
    • ,
    • (
      1
      ,
      (
      −
      1
      2
      )
      )
    • ,
    • (
      4
      ,
      1
      2
      )
  • (ii)
    • (
      (
      −
      2
      )
      ,
      5
      2
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      3
      2
      )
    • ,
    • (
      0
      ,
      1
      2
      )
    • ,
    • (
      1
      ,
      (
      −
      1
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      3
      2
      )
      )
  • (iii)
    • (
      (
      −
      2
      )
      ,
      5
      2
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      3
      2
      )
    • ,
    • (
      1
      ,
      (
      −
      1
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      3
      2
      )
      )
  • (iv)
    • (
      (
      −
      2
      )
      ,
      5
      2
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      3
      2
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      3
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      1
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      3
      2
      )
      )
  • (v)
    • (
      (
      −
      2
      )
      ,
      5
      2
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      3
      2
      )
    • ,
    • (
      0
      ,
      1
      2
      )
    • ,
    • (
      2
      ,
      (
      −
      3
      2
      )
      )
Question 27
27.
    • Find the set of points satisfying the equation
    		•
      y
      =
      3
  • (i)
    • (
      (
      −
      2
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      3
      )
    • ,
    • (
      0
      ,
      3
      )
    • ,
    • (
      0
      ,
      4
      )
    • ,
    • (
      2
      ,
      3
      )
  • (ii)
    • (
      (
      −
      2
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      3
      )
    • ,
    • (
      1
      ,
      2
      )
    • ,
    • (
      1
      ,
      3
      )
    • ,
    • (
      2
      ,
      3
      )
  • (iii)
    • (
      (
      −
      2
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      1
      )
    • ,
    • (
      1
      ,
      3
      )
    • ,
    • (
      2
      ,
      3
      )
  • (iv)
    • (
      (
      −
      2
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      3
      )
    • ,
    • (
      0
      ,
      3
      )
    • ,
    • (
      1
      ,
      3
      )
    • ,
    • (
      4
      ,
      5
      )
  • (v)
    • (
      (
      −
      2
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      3
      )
    • ,
    • (
      0
      ,
      3
      )
    • ,
    • (
      1
      ,
      3
      )
    • ,
    • (
      2
      ,
      3
      )
Question 28
28.
    • Find the set of points satisfying the equation
    		•
      x
      =
      3
  • (i)
    • (
      3
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      3
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      3
      ,
      1
      )
    • ,
    • (
      3
      ,
      2
      )
  • (ii)
    • (
      3
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      3
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      3
      ,
      0
      )
    • ,
    • (
      2
      ,
      2
      )
    • ,
    • (
      3
      ,
      2
      )
  • (iii)
    • (
      3
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      3
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      3
      ,
      0
      )
    • ,
    • (
      3
      ,
      1
      )
    • ,
    • (
      3
      ,
      2
      )
  • (iv)
    • (
      3
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      3
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      3
      ,
      0
      )
    • ,
    • (
      3
      ,
      1
      )
    • ,
    • (
      5
      ,
      4
      )
  • (v)
    • (
      3
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      3
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      4
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      3
      ,
      1
      )
    • ,
    • (
      3
      ,
      2
      )
Question 29
29.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        2
        )
        ,
        (
        −
        2
        )
        )
      • ,
      • (
        (
        −
        1
        )
        ,
        (
        −
        17
        7
        )
        )
      • ,
      • (
        0
        ,
        (
        −
        20
        7
        )
        )
      • ,
      • (
        1
        ,
        (
        −
        23
        7
        )
        )
      • ,
      • (
        2
        ,
        (
        −
        26
        7
        )
        )
    • ?
  • (i)
    x
    =
    (
    3
    7
    y
    +
    27
    7
    		)
  • (ii)
    y
    =
    5
  • (iii)
    (
    −
    6
    x
    −
    14
    y
    −
    40
    		)
    =
    0
  • (iv)
    (
    14
    x
    +
    9
    y
    −
    2
    		)
    =
    0
  • (v)
    y
    =
    (
    −
    3
    7
    x
    +
    53
    7
    		)
Question 30
30.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        2
        )
        ,
        7
        5
        )
      • ,
      • (
        (
        −
        1
        )
        ,
        4
        5
        )
      • ,
      • (
        0
        ,
        1
        5
        )
      • ,
      • (
        1
        ,
        (
        −
        2
        5
        )
        )
      • ,
      • (
        2
        ,
        (
        −
        1
        )
        )
    • ?
  • (i)
    y
    =
    (
    −
    3
    5
    x
    +
    1
    5
    		)
  • (ii)
    (
    −
    6
    x
    −
    10
    y
    −
    14
    		)
    =
    0
  • (iii)
    x
    =
    (
    3
    5
    y
    −
    21
    5
    		)
  • (iv)
    x
    =
    (
    −
    3
    		)
  • (v)
    (
    7
    x
    +
    18
    y
    −
    3
    		)
    =
    0
Question 31
31.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        2
        )
        ,
        17
        15
        )
      • ,
      • (
        (
        −
        1
        )
        ,
        11
        15
        )
      • ,
      • (
        0
        ,
        1
        3
        )
      • ,
      • (
        1
        ,
        (
        −
        1
        15
        )
        )
      • ,
      • (
        2
        ,
        (
        −
        7
        15
        )
        )
    • ?
  • (i)
    (
    6
    x
    +
    15
    y
    −
    5
    		)
    =
    0
  • (ii)
    y
    =
    2
  • (iii)
    x
    =
    4
  • (iv)
    (
    −
    9
    x
    −
    7
    y
    +
    29
    		)
    =
    0
  • (v)
    x
    =
    (
    9
    7
    y
    +
    10
    7
    		)
Question 32
32.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        2
        )
        ,
        5
        )
      • ,
      • (
        (
        −
        1
        )
        ,
        5
        )
      • ,
      • (
        0
        ,
        5
        )
      • ,
      • (
        1
        ,
        5
        )
      • ,
      • (
        2
        ,
        5
        )
    • ?
  • (i)
    x
    =
    (
    y
    +
    1
    		)
  • (ii)
    (
    −
    7
    x
    −
    7
    y
    −
    35
    		)
    =
    0
  • (iii)
    y
    =
    (
    −
    x
    +
    11
    		)
  • (iv)
    x
    =
    6
  • (v)
    y
    =
    5
Question 33
33.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        9
        )
        ,
        (
        −
        2
        )
        )
      • ,
      • (
        (
        −
        9
        )
        ,
        (
        −
        1
        )
        )
      • ,
      • (
        (
        −
        9
        )
        ,
        0
        )
      • ,
      • (
        (
        −
        9
        )
        ,
        1
        )
      • ,
      • (
        (
        −
        9
        )
        ,
        2
        )
    • ?
  • (i)
    (
    −
    5
    x
    −
    7
    y
    +
    11
    		)
    =
    0
  • (ii)
    x
    =
    (
    −
    9
    		)
  • (iii)
    y
    =
    (
    −
    3
    		)
  • (iv)
    y
    =
    (
    −
    5
    7
    x
    −
    66
    7
    		)
  • (v)
    (
    9
    x
    +
    9
    y
    −
    7
    		)
    =
    0
Question 34
34.
    • Which of the displayed lines represent the equation
    • (
      5
      x
      −
      5
      y
      +
      10
      		)
      =
      0
    • ?
  • (i)
      • line with point
      • V
  • (ii)
      • line with point
      • U
  • (iii)
      • line with point
      • S
  • (iv)
      • line with point
      • W
  • (v)
      • line with point
      • T
Question 35
35.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      −
      9
      		)
  • (i)
      • line with point
      • O
  • (ii)
      • line with point
      • P
  • (iii)
      • line with point
      • M
  • (iv)
      • line with point
      • N
  • (v)
      • line with point
      • Q
Question 36
36.
    • Which of the displayed lines represent the equation
    • x
      =
      (
      −
      2
      		)
  • (i)
      • line with point
      • Q
  • (ii)
      • line with point
      • N
  • (iii)
      • line with point
      • O
  • (iv)
      • line with point
      • P
  • (v)
      • line with point
      • M
Question 37
37.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      5
      4
      x
      +
      7
      4
      		)
  • (i)
      • line with point
      • W
  • (ii)
      • line with point
      • S
  • (iii)
      • line with point
      • T
  • (iv)
      • line with point
      • U
  • (v)
      • line with point
      • V
Question 38
38.
    • Which of the displayed lines represent the equation
    • y
      =
      x
  • (i)
      • line with point
      • P
  • (ii)
      • line with point
      • T
  • (iii)
      • line with point
      • R
  • (iv)
      • line with point
      • S
  • (v)
      • line with point
      • Q
Question 39
39.
    • Solve
    •  
    • (
      10
      x
      +
      8
      y
      +
      22
      		)
      =
      0
      (
      −
      13
      x
      −
      y
      −
      85
      		)
      =
      0
  • (i)
    (
    (
    −
    5
    )
    ,
    8
    )
  • (ii)
    (
    (
    −
    6
    )
    ,
    5
    )
  • (iii)
    (
    (
    −
    8
    )
    ,
    7
    )
  • (iv)
    (
    (
    −
    7
    )
    ,
    6
    )
  • (v)
    (
    (
    −
    9
    )
    ,
    4
    )
Question 40
40.
    • Solve
    •  
    		•
      2
      x
      =
      0
      (
      5
      x
      +
      2
      y
      +
      4
      		)
      =
      0
  • (i)
    (
    3
    ,
    7
    )
  • (ii)
    (
    (
    −
    2
    )
    ,
    (
    −
    4
    )
    )
  • (iii)
    (
    0
    ,
    (
    −
    2
    )
    )
  • (iv)
    (
    6
    ,
    8
    )
  • (v)
    (
    2
    ,
    0
    )
Question 41
41.
    • Solve
    •  
    • (
      x
      −
      3
      		)
      =
      0
      (
      x
      +
      3
      		)
      =
      0
  • (i)
    Infinite solutions
  • (ii)
    (
    (
    −
    1
    )
    ,
    (
    −
    6
    )
    )
  • (iii)
    (
    2
    ,
    4
    )
  • (iv)
    No solution
  • (v)
    (
    1
    ,
    (
    −
    4
    )
    )
Question 42
42.
    • Solve
    •  
    • (
      y
      +
      5
      		)
      =
      0
      (
      y
      +
      7
      		)
      =
      0
  • (i)
    No solution
  • (ii)
    (
    (
    −
    9
    )
    ,
    0
    )
  • (iii)
    Infinite solutions
  • (iv)
    (
    5
    ,
    (
    −
    2
    )
    )
  • (v)
    (
    (
    −
    7
    )
    ,
    2
    )
Question 43
43.
    • Solve
    •  
    • (
      8
      x
      −
      3
      y
      −
      30
      		)
      =
      0
      (
      −
      8
      x
      +
      3
      y
      +
      10
      		)
      =
      0
  • (i)
    (
    1
    ,
    (
    −
    4
    )
    )
  • (ii)
    (
    (
    −
    1
    )
    ,
    (
    −
    6
    )
    )
  • (iii)
    (
    3
    ,
    (
    −
    2
    )
    )
  • (iv)
    No solution
  • (v)
    Infinite solutions
Question 44
44.
    • Solve
    •  
    • (
      2
      x
      −
      7
      y
      −
      23
      		)
      =
      0
      (
      6
      x
      −
      21
      y
      −
      69
      		)
      =
      0
  • (i)
    (
    (
    −
    6
    )
    ,
    (
    −
    3
    )
    )
  • (ii)
    Infinite solutions
  • (iii)
    No solution
  • (iv)
    (
    (
    −
    6
    )
    ,
    (
    −
    5
    )
    )
  • (v)
    (
    1
    ,
    (
    −
    3
    )
    )
Question 45
45.
    • Solve
    •  
    • (
      −
      4
      x
      +
      5
      y
      −
      6
      		)
      =
      0
      (
      y
      −
      6
      		)
      =
      0
  • (i)
    (
    6
    ,
    (
    −
    6
    )
    )
  • (ii)
    (
    1
    ,
    2
    )
  • (iii)
    (
    0
    ,
    6
    )
  • (iv)
    (
    6
    ,
    0
    )
  • (v)
    (
    6
    ,
    6
    )
Question 46
46.
    • Solve
    •  
    • (
      −
      3
      x
      −
      5
      y
      +
      4
      		)
      =
      0
      (
      x
      +
      7
      		)
      =
      0
  • (i)
    (
    3
    ,
    (
    −
    7
    )
    )
  • (ii)
    (
    0
    ,
    5
    )
  • (iii)
    (
    (
    −
    2
    )
    ,
    2
    )
  • (iv)
    (
    (
    −
    7
    )
    ,
    0
    )
  • (v)
    (
    (
    −
    7
    )
    ,
    5
    )
Question 47
47.
    • Solve
    •  
    • (
      −
      2
      y
      −
      10
      		)
      =
      0
      (
      −
      x
      −
      y
      −
      9
      		)
      =
      0
  • (i)
    (
    (
    −
    5
    )
    ,
    (
    −
    4
    )
    )
  • (ii)
    (
    (
    −
    2
    )
    ,
    (
    −
    3
    )
    )
  • (iii)
    (
    (
    −
    3
    )
    ,
    (
    −
    6
    )
    )
  • (iv)
    (
    (
    −
    6
    )
    ,
    (
    −
    7
    )
    )
  • (v)
    (
    (
    −
    4
    )
    ,
    (
    −
    5
    )
    )
Question 48
48.
    • Solve
    •  
    • (
      −
      5
      x
      +
      6
      y
      −
      42
      		)
      =
      0
      (
      −
      6
      x
      −
      10
      y
      −
      16
      		)
      =
      0
  • (i)
    (
    9
    ,
    6
    )
  • (ii)
    (
    (
    −
    4
    )
    ,
    4
    )
  • (iii)
    (
    (
    −
    6
    )
    ,
    2
    )
  • (iv)
    (
    6
    ,
    7
    )
  • (v)
    (
    (
    −
    8
    )
    ,
    0
    )
Question 49
49.
    • Solve
    •  
    • (
      x
      +
      2
      		)
      =
      0
      (
      x
      +
      7
      		)
      =
      0
  • (i)
    (
    0
    ,
    3
    )
  • (ii)
    (
    0
    ,
    (
    −
    1
    )
    )
  • (iii)
    No solution
  • (iv)
    Infinite solutions
  • (v)
    (
    (
    −
    2
    )
    ,
    (
    −
    3
    )
    )
Question 50
50.
    • Solve
    •  
    • (
      y
      −
      2
      		)
      =
      0
      (
      y
      +
      3
      		)
      =
      0
  • (i)
    (
    (
    −
    9
    )
    ,
    (
    −
    5
    )
    )
  • (ii)
    Infinite solutions
  • (iii)
    (
    (
    −
    7
    )
    ,
    (
    −
    3
    )
    )
  • (iv)
    (
    1
    ,
    (
    −
    1
    )
    )
  • (v)
    No solution
Question 51
51.
    • Solve
    •  
    • (
      12
      x
      +
      10
      y
      +
      22
      		)
      =
      0
      (
      6
      x
      +
      5
      y
      −
      22
      		)
      =
      0
  • (i)
    (
    4
    ,
    (
    −
    7
    )
    )
  • (ii)
    (
    2
    ,
    (
    −
    9
    )
    )
  • (iii)
    (
    2
    ,
    2
    )
  • (iv)
    No solution
  • (v)
    Infinite solutions
Question 52
52.
    • Solve
    •  
    • (
      7
      x
      −
      6
      y
      +
      5
      		)
      =
      0
      (
      28
      x
      −
      24
      y
      +
      20
      		)
      =
      0
  • (i)
    No solution
  • (ii)
    (
    1
    ,
    2
    )
  • (iii)
    (
    (
    −
    5
    )
    ,
    (
    −
    5
    )
    )
  • (iv)
    Infinite solutions
  • (v)
    (
    (
    −
    4
    )
    ,
    2
    )
Question 53
53.
    • Solve
    •  
    • (
      −
      12
      x
      +
      y
      −
      30
      		)
      =
      0
      (
      y
      −
      6
      		)
      =
      0
  • (i)
    (
    (
    −
    3
    )
    ,
    (
    −
    6
    )
    )
  • (ii)
    (
    0
    ,
    6
    )
  • (iii)
    (
    (
    −
    2
    )
    ,
    6
    )
  • (iv)
    (
    3
    ,
    7
    )
  • (v)
    (
    (
    −
    2
    )
    ,
    0
    )
Question 54
54.
    • Solve
    •  
    • (
      −
      x
      −
      8
      y
      +
      20
      		)
      =
      0
      (
      x
      +
      4
      		)
      =
      0
  • (i)
    (
    (
    −
    2
    )
    ,
    (
    −
    5
    )
    )
  • (ii)
    (
    (
    −
    4
    )
    ,
    3
    )
  • (iii)
    (
    4
    ,
    2
    )
  • (iv)
    (
    (
    −
    4
    )
    ,
    0
    )
  • (v)
    (
    0
    ,
    3
    )
    Assignment Key
  •  1) (iii)
  •  2) (i)
  •  3) (iv)
  •  4) (i)
  •  5) (iii)
  •  6) (iii)
  •  7) (ii)
  •  8) (ii)
  •  9) (i)
  •  10) (v)
  •  11) (iii)
  •  12) (iv)
  •  13) (iv)
  •  14) (ii)
  •  15) (iii)
  •  16) (iii)
  •  17) (iii)
  •  18) (v)
  •  19) (iv)
  •  20) (ii)
  •  21) (iv)
  •  22) (iii)
  •  23) (i)
  •  24) (iv)
  •  25) (iii)
  •  26) (ii)
  •  27) (v)
  •  28) (iii)
  •  29) (iii)
  •  30) (i)
  •  31) (i)
  •  32) (v)
  •  33) (ii)
  •  34) (iii)
  •  35) (iii)
  •  36) (v)
  •  37) (ii)
  •  38) (i)
  •  39) (iv)
  •  40) (iii)
  •  41) (iv)
  •  42) (i)
  •  43) (iv)
  •  44) (ii)
  •  45) (v)
  •  46) (v)
  •  47) (v)
  •  48) (iii)
  •  49) (iii)
  •  50) (v)
  •  51) (iv)
  •  52) (iv)
  •  53) (iii)
  •  54) (ii)