CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade IX - Linear Equations in two Variables
Question 1
1.
    • Write the given equation
    		•
      y
      =
      (
      2
      7
      x
      −
      47
      7
      		)
    • in
    • a
      x
      +
      b
      y
      +
      c
      = 0
    • form
  • (
    −
    2
    9
    x
    +
    y
    +
    47
    7
    		)
    =
    0
  • (
    −
    2
    7
    x
    +
    3
    y
    +
    47
    7
    		)
    =
    0
  • (
    −
    2
    5
    x
    +
    y
    +
    47
    7
    		)
    =
    0
  • (
    −
    2
    7
    x
    +
    y
    +
    47
    7
    		)
    =
    0
  • (
    −
    2
    7
    x
    −
    y
    +
    47
    7
    		)
    =
    0
Question 2
2.
    • Find the set of points satisfying the equation
    		•
      y
      =
      (
      −
      2
      		)
    • (
      (
      −
      2
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      4
      ,
      0
      )
    • (
      (
      −
      2
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      2
      )
      )
    • (
      (
      −
      2
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      2
      )
      )
    • (
      (
      −
      2
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      2
      )
      )
    • (
      (
      −
      2
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      2
      )
      )
Question 3
3.
    • Which of the following equations satisfy the given points
      • (
        5
        ,
        (
        −
        2
        )
        )
      • ,
      • (
        5
        ,
        (
        −
        1
        )
        )
      • ,
      • (
        5
        ,
        0
        )
      • ,
      • (
        5
        ,
        1
        )
      • ,
      • (
        5
        ,
        2
        )
    • ?
  • y
    =
    (
    −
    7
    11
    x
    +
    112
    11
    		)
  • y
    =
    7
  • x
    =
    5
  • x
    =
    (
    7
    11
    y
    +
    6
    11
    		)
  • (
    −
    7
    x
    −
    11
    y
    −
    8
    		)
    =
    0
Question 4
4.
Which of the following are true?
a)
The abscissa of every point on x-axis is zero
b)
The ordinate of every point on y-axis is zero
c)
The ordinate of every point on x-axis is zero
d)
The abscissa of every point on y-axis is zero
  • {c,d}
  • {b,d}
  • {a,d,c}
  • {a,c}
  • {a,b,c}
Question 5
5.
    • Find the set of points satisfying the equation
    		•
      x
      =
      2
    • (
      2
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      2
      ,
      1
      )
    • ,
    • (
      2
      ,
      2
      )
    • (
      2
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      2
      ,
      0
      )
    • ,
    • (
      2
      ,
      1
      )
    • ,
    • (
      4
      ,
      4
      )
    • (
      2
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      3
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      2
      ,
      1
      )
    • ,
    • (
      2
      ,
      2
      )
    • (
      2
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      2
      ,
      0
      )
    • ,
    • (
      1
      ,
      2
      )
    • ,
    • (
      2
      ,
      2
      )
    • (
      2
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      2
      ,
      0
      )
    • ,
    • (
      2
      ,
      1
      )
    • ,
    • (
      2
      ,
      2
      )
Question 6
6.
The equation of the x-axis is
a)
    • x
      =
      0
b)
    • x
      =
      1
c)
    • y
      =
      1
d)
    • x
      =
      y
e)
    • y
      =
      0
  • {a,e}
  • {b,e}
  • {c,d,e}
  • {e}
Question 7
7.
    • Which of the following lines pass through the origin?
  • (
    −
    3
    x
    +
    7
    y
    −
    47
    		)
    =
    0
  • (
    −
    12
    y
    −
    36
    		)
    =
    0
  • (
    11
    x
    +
    y
    −
    41
    		)
    =
    0
  • (
    8
    x
    −
    3
    y
    		)
    =
    0
  • (
    −
    8
    x
    +
    4
    y
    −
    52
    		)
    =
    0
Question 8
8.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
  • y
    =
    k
  • x
    =
    k
  • x
    =
    0
  • x
    =
    y
  • y
    =
    0
Question 9
9.
    • Which of the displayed lines represent the equation
    • y
      =
      x
      • line with point
      • X
      • line with point
      • V
      • line with point
      • T
      • line with point
      • W
      • line with point
      • U
Question 10
10.
    • Find the equation of a straight line parallel to y-axis and
    • passing through the point
    • (
      (
      −
      8
      )
      ,
      (
      −
      4
      )
      )
  • x
    =
    (
    −
    9
    		)
  • y
    =
    (
    −
    2
    		)
  • y
    =
    (
    −
    4
    		)
  • x
    =
    (
    −
    8
    		)
  • x
    =
    (
    −
    5
    		)