CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade IX - Linear Equations in two Variables
Question 1
1.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        2
        )
        ,
        8
        )
      • ,
      • (
        (
        −
        1
        )
        ,
        8
        )
      • ,
      • (
        0
        ,
        8
        )
      • ,
      • (
        1
        ,
        8
        )
      • ,
      • (
        2
        ,
        8
        )
    • ?
  • x
    =
    (
    13
    8
    y
    −
    20
    		)
  • y
    =
    8
  • (
    −
    13
    x
    −
    8
    y
    −
    59
    		)
    =
    0
  • y
    =
    (
    −
    13
    8
    x
    −
    27
    8
    		)
  • (
    7
    x
    +
    2
    y
    −
    1
    		)
    =
    0
Question 2
2.
    • The linear equation
    • (
      2
      x
      −
      2
      y
      −
      7
      		)
      =
      (
      −
      6
      x
      +
      9
      y
      −
      5
      		)
    • is equivalent to
  • (
    9
    x
    −
    11
    y
    −
    2
    		)
    =
    0
  • (
    8
    x
    −
    11
    y
    −
    2
    		)
    =
    0
  • (
    2
    x
    −
    2
    y
    −
    7
    		)
    =
    (
    −
    6
    x
    +
    12
    y
    −
    5
    		)
  • (
    7
    x
    −
    11
    y
    −
    2
    		)
    =
    0
  • (
    2
    x
    −
    2
    y
    −
    7
    		)
    =
    (
    −
    6
    x
    +
    7
    y
    −
    5
    		)
Question 3
3.
Which of the following are true?
a)
    • Equation of the line passing through origin is y = x
b)
    • Equation of the line passing through origin is
    • y
      =
      m
      x
c)
    • Equation of the line passing through origin is y = mx +
    • 7
d)
    • Equation of the line passing through origin is
    • y
      =
      m
      x
      +
      c
  • {c,b,a}
  • {c,d,a}
  • {d,b}
  • {a,b}
  • {c,a}
Question 4
4.
The equation of the x-axis is
a)
    • x
      =
      0
b)
    • x
      =
      1
c)
    • y
      =
      0
d)
    • y
      =
      1
e)
    • x
      =
      y
  • {b,c}
  • {a,c}
  • {c}
  • {d,e,c}
Question 5
5.
Any line parallel to x-axis is
  • a vertical line
  • a horizontal line
  • an oblique line
  • a curved line
Question 6
6.
    • Which of the following lines pass through the origin?
  • (
    5
    x
    −
    8
    y
    		)
    =
    0
  • (
    −
    4
    x
    +
    9
    y
    −
    13
    		)
    =
    0
  • (
    9
    x
    −
    6
    y
    −
    42
    		)
    =
    0
  • (
    −
    5
    x
    +
    2
    y
    −
    7
    		)
    =
    0
  • (
    −
    5
    y
    −
    20
    		)
    =
    0
Question 7
7.
Which of the following are true?
a)
The ordinate of every point on y-axis is zero
b)
The abscissa 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 x-axis is zero
  • {d,c}
  • {b,c}
  • {a,d,b}
  • {a,b}
  • {a,c,b}
Question 8
8.
    • Find the set of points satisfying the equation
    • (
      2
      x
      +
      2
      y
      −
      1
      		)
      =
      0
    • (
      (
      −
      2
      )
      ,
      5
      2
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      3
      2
      )
    • ,
    • (
      0
      ,
      1
      2
      )
    • ,
    • (
      1
      ,
      (
      −
      1
      2
      )
      )
    • ,
    • (
      4
      ,
      1
      2
      )
    • (
      (
      −
      2
      )
      ,
      5
      2
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      3
      2
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      3
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      1
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      3
      2
      )
      )
    • (
      (
      −
      2
      )
      ,
      5
      2
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      3
      2
      )
    • ,
    • (
      0
      ,
      1
      2
      )
    • ,
    • (
      2
      ,
      (
      −
      3
      2
      )
      )
    • (
      (
      −
      2
      )
      ,
      5
      2
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      3
      2
      )
    • ,
    • (
      1
      ,
      (
      −
      1
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      3
      2
      )
      )
    • (
      (
      −
      2
      )
      ,
      5
      2
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      3
      2
      )
    • ,
    • (
      0
      ,
      1
      2
      )
    • ,
    • (
      1
      ,
      (
      −
      1
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      3
      2
      )
      )
Question 9
9.
    • Find the set of points satisfying the equation
    		•
      y
      =
      12
      17
      x
    • (
      (
      −
      2
      )
      ,
      (
      −
      24
      17
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      12
      17
      )
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      12
      17
      )
    • ,
    • (
      4
      ,
      58
      17
      )
    • (
      (
      −
      2
      )
      ,
      (
      −
      24
      17
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      12
      17
      )
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      12
      17
      )
    • ,
    • (
      2
      ,
      24
      17
      )
    • (
      (
      −
      2
      )
      ,
      (
      −
      24
      17
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      12
      17
      )
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      1
      ,
      12
      17
      )
    • ,
    • (
      2
      ,
      24
      17
      )
    • (
      (
      −
      2
      )
      ,
      (
      −
      24
      17
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      12
      17
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      1
      ,
      12
      17
      )
    • ,
    • (
      2
      ,
      24
      17
      )
    • (
      (
      −
      2
      )
      ,
      (
      −
      24
      17
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      12
      17
      )
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      0
      ,
      29
      17
      )
    • ,
    • (
      2
      ,
      24
      17
      )
Question 10
10.
    • Find the equation of a straight line parallel to x-axis and
    • passing through the point
    • (
      2
      ,
      (
      −
      8
      )
      )
  • y
    =
    (
    −
    8
    		)
  • y
    =
    (
    −
    6
    		)
  • y
    =
    (
    −
    9
    		)
  • x
    =
    2
  • x
    =
    4