EduSahara™ Assignment
Name : Graph of a Linear Equation in Two Variables
Chapter : Linear Equations in two Variables
Grade : CBSE Grade IX
License : Non Commercial Use
Question 1
1.
    • The equation of the line passing through
    • the origin and
    • having a slope
    • m
    • ≠
    • 0 is
  • (i)
    x
    =
    m
    y
    +
    c
  • (ii)
    x
    =
    0
  • (iii)
    y
    =
    0
  • (iv)
    y
    =
    m
    x
  • (v)
    y
    =
    m
    x
    +
    c
Question 2
2.
    • The equation of the line passing through the points
    • (
      2
      ,
      0
      )
    • and
    • (
      4
      ,
      (
      −
      4
      )
      )
    • is
  • (i)
    (
    −
    6
    x
    +
    9
    y
    +
    12
    		)
    =
    0
  • (ii)
    (
    −
    4
    x
    −
    2
    y
    +
    8
    		)
    =
    0
  • (iii)
    (
    3
    x
    −
    7
    y
    −
    21
    		)
    =
    0
  • (iv)
    (
    −
    2
    x
    +
    11
    y
    +
    52
    		)
    =
    0
Question 3
3.
The equation of x-axis is
  • (i)
    y
    =
    1
  • (ii)
    y
    =
    x
  • (iii)
    y
    =
    0
  • (iv)
    x
    =
    0
  • (v)
    x
    =
    1
Question 4
4.
The equation of y-axis is
  • (i)
    y
    =
    1
  • (ii)
    x
    =
    1
  • (iii)
    y
    =
    x
  • (iv)
    x
    =
    0
  • (v)
    y
    =
    0
Question 5
5.
Any line parallel to x-axis is
  • (i)
    a curved line
  • (ii)
    a vertical line
  • (iii)
    an oblique line
  • (iv)
    a horizontal line
Question 6
6.
Any line parallel to y-axis is
  • (i)
    an oblique line
  • (ii)
    a horizontal line
  • (iii)
    a curved line
  • (iv)
    a vertical line
Question 7
7.
A line which is neither parallel to x-axis nor y-axis is
  • (i)
    an oblique line
  • (ii)
    a vertical line
  • (iii)
    a curved line
  • (iv)
    a horizontal line
Question 8
8.
Which of the following are true?
a)
    • Equation of the line passing through origin is
    • y
      =
      m
      x
      +
      c
b)
    • Equation of the line passing through origin is y = mx +
    • 7
c)
    • Equation of the line passing through origin is y = x
d)
    • Equation of the line passing through origin is
    • y
      =
      m
      x
  • (i)
    {b,d}
  • (ii)
    {a,c}
  • (iii)
    {c,d}
  • (iv)
    {a,b,c}
  • (v)
    {a,d,c}
Question 9
9.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
  • (i)
    x
    =
    0
  • (ii)
    y
    =
    k
  • (iii)
    x
    =
    y
  • (iv)
    y
    =
    0
  • (v)
    x
    =
    k
Question 10
10.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
  • (i)
    x
    =
    0
  • (ii)
    x
    =
    k
  • (iii)
    y
    =
    k
  • (iv)
    x
    =
    y
  • (v)
    y
    =
    0
Question 11
11.
    • Write the given equation
    • (
      −
      8
      x
      −
      4
      y
      −
      28
      		)
      =
      0
    • in
    • y
      =
      m
      x
      +
      c
    • form
  • (i)
    y
    =
    (
    −
    2
    x
    −
    7
    		)
  • (ii)
    y
    =
    (
    −
    2
    x
    −
    10
    		)
  • (iii)
    y
    =
    (
    −
    x
    −
    7
    		)
  • (iv)
    y
    =
    (
    −
    2
    x
    −
    5
    		)
  • (v)
    y
    =
    (
    −
    3
    x
    −
    7
    		)
Question 12
12.
    • Write the given equation
    		•
      y
      =
      (
      4
      7
      x
      −
      4
      7
      		)
    • in
    • a
      x
      +
      b
      y
      +
      c
      = 0
    • form
  • (i)
    (
    −
    4
    7
    x
    +
    3
    y
    +
    4
    7
    		)
    =
    0
  • (ii)
    (
    −
    4
    7
    x
    +
    y
    +
    4
    7
    		)
    =
    0
  • (iii)
    (
    −
    4
    9
    x
    +
    y
    +
    4
    7
    		)
    =
    0
  • (iv)
    (
    −
    4
    5
    x
    +
    y
    +
    4
    7
    		)
    =
    0
  • (v)
    (
    −
    4
    7
    x
    −
    y
    +
    4
    7
    		)
    =
    0
Question 13
13.
    • Find the equation of the line passing through the points
    • (
      0
      ,
      (
      −
      8
      )
      )
    • and
    • (
      3
      ,
      (
      −
      5
      )
      )
  • (i)
    (
    3
    x
    −
    3
    y
    −
    24
    		)
    =
    0
  • (ii)
    (
    −
    3
    x
    +
    3
    y
    +
    27
    		)
    =
    0
  • (iii)
    (
    4
    x
    −
    3
    y
    −
    24
    		)
    =
    0
  • (iv)
    (
    −
    3
    x
    +
    3
    y
    +
    21
    		)
    =
    0
  • (v)
    (
    2
    x
    −
    3
    y
    −
    24
    		)
    =
    0
Question 14
14.
    • The points B
    • (
      (
      −
      1
      )
      ,
      7
      )
    • and D
    • (
      (
      −
      8
      )
      ,
      8
      )
    • are the opposite vertices
    • of a square ABCD. Find the equation of the diagonal AC
  • (i)
    (
    x
    +
    7
    y
    −
    48
    		)
    =
    0
  • (ii)
    (
    x
    +
    5
    y
    −
    48
    		)
    =
    0
  • (iii)
    (
    6
    x
    −
    y
    +
    39
    		)
    =
    0
  • (iv)
    (
    7
    x
    −
    y
    +
    39
    		)
    =
    0
  • (v)
    (
    7
    x
    +
    2
    y
    +
    39
    		)
    =
    0
Question 15
15.
    • Which of the following lines pass through the origin?
  • (i)
    (
    3
    x
    +
    7
    y
    −
    53
    		)
    =
    0
  • (ii)
    (
    x
    −
    11
    y
    −
    63
    		)
    =
    0
  • (iii)
    (
    10
    x
    +
    2
    y
    −
    70
    		)
    =
    0
  • (iv)
    (
    5
    x
    −
    6
    y
    		)
    =
    0
  • (v)
    (
    −
    14
    x
    +
    2
    y
    −
    30
    		)
    =
    0
Question 16
16.
    • Which of the following lines do not pass through the origin?
  • (i)
    (
    7
    x
    −
    6
    y
    		)
    =
    0
  • (ii)
    (
    −
    5
    x
    +
    y
    		)
    =
    0
  • (iii)
    (
    x
    +
    3
    y
    		)
    =
    0
  • (iv)
    (
    −
    6
    x
    −
    2
    y
    		)
    =
    0
  • (v)
    (
    −
    2
    x
    +
    3
    y
    +
    13
    		)
    =
    0
Question 17
17.
    • Which of the displayed lines represent the equation
    • (
      5
      x
      −
      4
      y
      −
      15
      		)
      =
      0
    • ?
  • (i)
      • line with point
      • T
  • (ii)
      • line with point
      • S
  • (iii)
      • line with point
      • U
  • (iv)
      • line with point
      • V
  • (v)
      • line with point
      • R
Question 18
18.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      3
      5
      x
      −
      21
      5
      		)
  • (i)
      • line with point
      • P
  • (ii)
      • line with point
      • R
  • (iii)
      • line with point
      • Q
  • (iv)
      • line with point
      • T
  • (v)
      • line with point
      • S
Question 19
19.
    • Which of the displayed lines represent the equation
    • y
      =
      1
      3
      x
  • (i)
      • line with point
      • U
  • (ii)
      • line with point
      • T
  • (iii)
      • line with point
      • R
  • (iv)
      • line with point
      • S
  • (v)
      • line with point
      • Q
    Assignment Key
  •  1) (iv)
  •  2) (ii)
  •  3) (iii)
  •  4) (iv)
  •  5) (iv)
  •  6) (iv)
  •  7) (i)
  •  8) (iii)
  •  9) (ii)
  •  10) (ii)
  •  11) (i)
  •  12) (ii)
  •  13) (i)
  •  14) (iv)
  •  15) (iv)
  •  16) (v)
  •  17) (v)
  •  18) (i)
  •  19) (v)