CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade IX - Linear Equations in two Variables
Question 1
1.
    • Find the set of points satisfying the equation
    • (
      −
      12
      x
      −
      3
      y
      +
      69
      		)
      =
      0
    • (
      (
      −
      2
      )
      ,
      31
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      27
      )
    • ,
    • (
      0
      ,
      23
      )
    • ,
    • (
      1
      ,
      19
      )
    • ,
    • (
      4
      ,
      17
      )
    • (
      (
      −
      2
      )
      ,
      31
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      27
      )
    • ,
    • (
      0
      ,
      23
      )
    • ,
    • (
      1
      ,
      19
      )
    • ,
    • (
      2
      ,
      15
      )
    • (
      (
      −
      2
      )
      ,
      31
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      27
      )
    • ,
    • (
      1
      ,
      22
      )
    • ,
    • (
      1
      ,
      19
      )
    • ,
    • (
      2
      ,
      15
      )
    • (
      (
      −
      2
      )
      ,
      31
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      27
      )
    • ,
    • (
      0
      ,
      23
      )
    • ,
    • (
      0
      ,
      20
      )
    • ,
    • (
      2
      ,
      15
      )
    • (
      (
      −
      2
      )
      ,
      31
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      27
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      21
      )
    • ,
    • (
      1
      ,
      19
      )
    • ,
    • (
      2
      ,
      15
      )
Question 2
2.
    • The value of
    • x
    • in terms of other variables and constant in
    • (
      3
      x
      +
      7
      y
      −
      4
      		)
      =
      (
      −
      8
      x
      −
      y
      −
      2
      		)
    • is
  • x
    =
    (
    −
    8
    11
    y
    +
    2
    11
    		)
  • x
    =
    (
    −
    8
    9
    y
    +
    2
    11
    		)
  • x
    =
    (
    −
    8
    11
    y
    		)
  • x
    =
    (
    −
    8
    11
    y
    +
    4
    11
    		)
  • x
    =
    (
    −
    8
    13
    y
    +
    2
    11
    		)
Question 3
3.
    • Find the equation of the line passing through the points
    • (
      (
      −
      3
      )
      ,
      1
      )
    • and
    • (
      6
      ,
      (
      −
      4
      )
      )
  • (
    −
    4
    x
    −
    9
    y
    −
    6
    		)
    =
    0
  • (
    −
    5
    x
    −
    9
    y
    −
    6
    		)
    =
    0
  • (
    5
    x
    +
    9
    y
    −
    3
    		)
    =
    0
  • (
    5
    x
    +
    9
    y
    +
    1
    		)
    =
    0
  • (
    −
    6
    x
    −
    9
    y
    −
    6
    		)
    =
    0
Question 4
4.
    • Which of the following lines pass through the origin?
  • (
    −
    4
    x
    −
    12
    y
    −
    60
    		)
    =
    0
  • (
    8
    x
    −
    5
    y
    		)
    =
    0
  • (
    −
    10
    x
    −
    y
    −
    63
    		)
    =
    0
  • (
    −
    x
    +
    12
    y
    −
    91
    		)
    =
    0
  • (
    15
    x
    +
    y
    −
    83
    		)
    =
    0
Question 5
5.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      x
      +
      2
      		)
      • line with point
      • V
      • line with point
      • T
      • line with point
      • U
      • line with point
      • R
      • line with point
      • S
Question 6
6.
    • Find the equation of a straight line parallel to x-axis and
    • passing through the point
    • (
      0
      ,
      (
      −
      7
      )
      )
  • y
    =
    (
    −
    5
    		)
  • y
    =
    (
    −
    7
    		)
  • x
    =
    2
  • x
    =
    0
  • y
    =
    (
    −
    8
    		)
Question 7
7.
    • Which of the following lines do not pass through the origin?
  • (
    −
    3
    x
    +
    10
    y
    −
    2
    		)
    =
    0
  • (
    −
    x
    +
    4
    y
    		)
    =
    0
  • (
    8
    x
    −
    8
    y
    		)
    =
    0
  • (
    −
    8
    x
    −
    3
    y
    		)
    =
    0
  • (
    5
    x
    +
    2
    y
    		)
    =
    0
Question 8
8.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
  • x
    =
    y
  • y
    =
    0
  • x
    =
    k
  • y
    =
    k
  • x
    =
    0
Question 9
9.
Any line parallel to y-axis is
  • a curved line
  • a horizontal line
  • an oblique line
  • a vertical line
Question 10
10.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        4
        )
        ,
        (
        −
        2
        )
        )
      • ,
      • (
        (
        −
        4
        )
        ,
        (
        −
        1
        )
        )
      • ,
      • (
        (
        −
        4
        )
        ,
        0
        )
      • ,
      • (
        (
        −
        4
        )
        ,
        1
        )
      • ,
      • (
        (
        −
        4
        )
        ,
        2
        )
    • ?
  • y
    =
    (
    −
    4
    5
    x
    −
    31
    5
    		)
  • x
    =
    (
    −
    4
    		)
  • (
    7
    x
    +
    5
    y
    −
    1
    		)
    =
    0
  • (
    −
    8
    x
    −
    10
    y
    −
    2
    		)
    =
    0
  • y
    =
    (
    −
    3
    		)