CBSE Board Practice

CBSE Grade IX - Linear Equations in two Variables
Question 1
1.
Any line parallel to y-axis is
  • a curved line
  • a vertical line
  • an oblique line
  • a horizontal line
Question 2
2.
    • Which of the following lines pass through the origin?
  • (
    8
    x
    −
    56
    )
    =
    0
  • (
    7
    x
    +
    12
    y
    −
    61
    )
    =
    0
  • (
    −
    4
    x
    −
    11
    y
    −
    49
    )
    =
    0
  • (
    x
    −
    7
    y
    )
    =
    0
  • (
    −
    11
    x
    −
    y
    −
    47
    )
    =
    0
Question 3
3.
    • Find the equation of the line passing through the points
    • (
      3
      ,
      (
      −
      2
      )
      )
    • and
    • (
      (
      −
      3
      )
      ,
      7
      )
  • (
    8
    x
    +
    6
    y
    −
    15
    )
    =
    0
  • (
    9
    x
    +
    6
    y
    −
    15
    )
    =
    0
  • (
    3
    x
    +
    2
    y
    −
    7
    )
    =
    0
  • (
    3
    x
    +
    2
    y
    −
    8
    )
    =
    0
  • (
    10
    x
    +
    6
    y
    −
    15
    )
    =
    0
Question 4
4.
    • Write the given equation
    • (
      4
      x
      +
      y
      +
      27
      )
      =
      0
    • in
    • y
      =
      m
      x
      +
      c
    • form
  • y
    =
    (
    −
    3
    x
    −
    27
    )
  • y
    =
    (
    −
    4
    x
    −
    27
    )
  • y
    =
    (
    −
    4
    x
    −
    24
    )
  • y
    =
    (
    −
    5
    x
    −
    27
    )
  • y
    =
    (
    −
    4
    x
    −
    30
    )
Question 5
5.
    • Which of the displayed lines represent the equation
    • (
      4
      x
      −
      4
      y
      +
      8
      )
      =
      0
    • ?
      • line with point
      • V
      • line with point
      • R
      • line with point
      • U
      • line with point
      • T
      • line with point
      • S
Question 6
6.
    • Find the set of points satisfying the equation
    • (
      −
      16
      x
      −
      6
      y
      +
      58
      )
      =
      0
    • (
      (
      −
      2
      )
      ,
      15
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      37

      3
      )
    • ,
    • (
      0
      ,
      29

      3
      )
    • ,
    • (
      1
      ,
      7
      )
    • ,
    • (
      4
      ,
      19

      3
      )
    • (
      (
      −
      2
      )
      ,
      15
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      37

      3
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      23

      3
      )
    • ,
    • (
      1
      ,
      7
      )
    • ,
    • (
      2
      ,
      13

      3
      )
    • (
      (
      −
      2
      )
      ,
      15
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      37

      3
      )
    • ,
    • (
      0
      ,
      29

      3
      )
    • ,
    • (
      0
      ,
      8
      )
    • ,
    • (
      2
      ,
      13

      3
      )
    • (
      (
      −
      2
      )
      ,
      15
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      37

      3
      )
    • ,
    • (
      0
      ,
      29

      3
      )
    • ,
    • (
      1
      ,
      7
      )
    • ,
    • (
      2
      ,
      13

      3
      )
    • (
      (
      −
      2
      )
      ,
      15
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      37

      3
      )
    • ,
    • (
      1
      ,
      26

      3
      )
    • ,
    • (
      1
      ,
      7
      )
    • ,
    • (
      2
      ,
      13

      3
      )
Question 7
7.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        2
        )
        ,
        13
        )
      • ,
      • (
        (
        −
        1
        )
        ,
        12
        )
      • ,
      • (
        0
        ,
        11
        )
      • ,
      • (
        1
        ,
        10
        )
      • ,
      • (
        2
        ,
        9
        )
    • ?
  • x
    =
    4
  • x
    =
    (
    y
    −
    3
    )
  • y
    =
    (
    −
    x
    +
    11
    )
  • y
    =
    7
  • (
    −
    10
    x
    −
    10
    y
    +
    60
    )
    =
    0
Question 8
8.
    • Which of the displayed lines represent the equation
    • x
      =
      9
      • line with point
      • U
      • line with point
      • T
      • line with point
      • V
      • line with point
      • S
      • line with point
      • R
Question 9
9.
    • Find the set of points satisfying the equation
    • x
      =
      3
    • (
      3
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      3
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      3
      ,
      0
      )
    • ,
    • (
      3
      ,
      1
      )
    • ,
    • (
      5
      ,
      4
      )
    • (
      3
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      3
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      3
      ,
      0
      )
    • ,
    • (
      3
      ,
      1
      )
    • ,
    • (
      3
      ,
      2
      )
    • (
      3
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      3
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      4
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      3
      ,
      1
      )
    • ,
    • (
      3
      ,
      2
      )
    • (
      3
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      3
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      3
      ,
      0
      )
    • ,
    • (
      2
      ,
      2
      )
    • ,
    • (
      3
      ,
      2
      )
    • (
      3
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      3
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      3
      ,
      1
      )
    • ,
    • (
      3
      ,
      2
      )
Question 10
10.
    • Find the set of points satisfying the equation
    • (
      5
      x
      +
      4
      y
      −
      3
      )
      =
      0
    • (
      (
      −
      2
      )
      ,
      13

      4
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      2
      )
    • ,
    • (
      0
      ,
      3

      4
      )
    • ,
    • (
      1
      ,
      (
      −
      1

      2
      )
      )
    • ,
    • (
      4
      ,
      1

      4
      )
    • (
      (
      −
      2
      )
      ,
      13

      4
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      2
      )
    • ,
    • (
      1
      ,
      (
      −
      1

      4
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      1

      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      7

      4
      )
      )
    • (
      (
      −
      2
      )
      ,
      13

      4
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      2
      )
    • ,
    • (
      0
      ,
      3

      4
      )
    • ,
    • (
      1
      ,
      (
      −
      1

      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      7

      4
      )
      )
    • (
      (
      −
      2
      )
      ,
      13

      4
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      2
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      5

      4
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      1

      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      7

      4
      )
      )
    • (
      (
      −
      2
      )
      ,
      13

      4
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      2
      )
    • ,
    • (
      0
      ,
      3

      4
      )
    • ,
    • (
      0
      ,
      1

      2
      )
    • ,
    • (
      2
      ,
      (
      −
      7

      4
      )
      )