CBSE Board Practice

CBSE Grade X - Pair of Linear Equations in Two Variables
Question 1
1.
    • Which of the displayed lines represent the equation
    • (
      4
      x
      5
      y
      2
      )
      =
      0
    • ?
      • line with point
      • V
      • line with point
      • T
      • line with point
      • X
      • line with point
      • W
      • line with point
      • U
Question 2
2.
The equation of y-axis is
  • y
    =
    0
  • y
    =
    x
  • x
    =
    0
  • x
    =
    1
  • y
    =
    1
Question 3
3.
    • Solve
    •  
    • (
      2
      x
      +
      9
      y
      +
      48
      )
      =
      0
      (
      2
      x
      +
      9
      y
      17
      )
      =
      0
  • No solution
  • Infinite solutions
  • (
    1
    ,
    (
    8
    )
    )
  • (
    3
    ,
    (
    6
    )
    )
  • (
    (
    5
    )
    ,
    3
    )
Question 4
4.
    • Find the equation of a straight line parallel to y-axis and
    • passing through the point
    • (
      5
      ,
      (
      1
      )
      )
  • y
    =
    2
  • x
    =
    8
  • x
    =
    4
  • y
    =
    (
    1
    )
  • x
    =
    5
Question 5
5.
    • Solve
    •  
    • (
      5
      x
      5
      y
      +
      10
      )
      =
      0
      (
      y
      +
      2
      )
      =
      0
  • (
    (
    4
    )
    ,
    0
    )
  • (
    1
    ,
    3
    )
  • (
    (
    4
    )
    ,
    (
    2
    )
    )
  • (
    0
    ,
    (
    2
    )
    )
  • (
    1
    ,
    5
    )
Question 6
6.
    • Find the equation of the line passing through the points
    • (
      5
      ,
      1
      )
    • and
    • (
      (
      5
      )
      ,
      (
      2
      )
      )
  • (
    3
    x
    +
    10
    y
    5
    )
    =
    0
  • (
    3
    x
    +
    10
    y
    +
    8
    )
    =
    0
  • (
    2
    x
    +
    10
    y
    +
    5
    )
    =
    0
  • (
    4
    x
    +
    10
    y
    +
    5
    )
    =
    0
  • (
    3
    x
    +
    10
    y
    +
    5
    )
    =
    0
Question 7
7.
    • Solve the following pair of equations :
    • (
      8
      x
      +
      10
      y
      )

      x
      y
      =
      18
    • (
      14
      x
      2
      y
      )

      x
      y
      =
      -66
  • (
    1

    7
    ,
    (
    -1

    4
    )
    )
  • (
    1

    5
    ,
    1

    4
    )
  • (
    1

    5
    ,
    (
    -1

    4
    )
    )
  • (
    3

    5
    ,
    (
    -1

    4
    )
    )
  • (
    1

    5
    ,
    (
    -1

    6
    )
    )
Question 8
8.
    • Solve
    •  
    • (
      3
      x
      +
      2
      y
      8
      )
      =
      0
      x
      =
      0
  • (
    (
    1
    )
    ,
    5
    )
  • (
    1
    ,
    3
    )
  • (
    0
    ,
    4
    )
  • (
    2
    ,
    6
    )
  • (
    (
    2
    )
    ,
    2
    )
Question 9
9.
    • Find the value of k such that
    • (
      2
      x
      10
      y
      +
      68
      )
      =
      0
    • and
    • (
      k
      x
        +  
      5
      y
         
      43
      ) = 0
    • are parallel to each other
  • -1
  • 0
  • -2
  • 1
  • -4
Question 10
10.
    • Which of the displayed lines represent the equation
    • y
      =
      5

      2
      x
      • line with point
      • P
      • line with point
      • Q
      • line with point
      • R
      • line with point
      • T
      • line with point
      • S