CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Pair of Linear Equations in Two Variables
Question 1
1.
The ratio of coefficients of x and y in the equations of any two parallel lines is
  • 2
  • not same
  • same
  • 1
  • not proportional
Question 2
2.
Find the equation of the displayed line
  • x
    =
    3
  • 3
    x
    =
    2
  • x
    =
    2
  • x
    =
    1
  • y
    =
    2
Question 3
3.
    • Solve
    • (
      −
      3
      x
      −
      3
      y
      +
      2
      		)
      =
      0
      (
      3
      x
      +
      4
      y
      −
      5
      		)
      =
      2
  • (
    (
    -21
    5
    		 )
    ,
    5
    )
  • (
    (
    -11
    3
    		 )
    ,
    2
    )
  • (
    (
    -11
    3
    		 )
    ,
    4
    )
  • (
    (
    -13
    3
    		 )
    ,
    5
    )
  • (
    (
    -21
    5
    		 )
    ,
    4
    )
Question 4
4.
Find the equation parallel to the given equation
  • (
    3
    x
    +
    8
    y
    +
    3
    		)
    =
    0
  • (
    −
    11
    x
    +
    3
    y
    −
    92
    		)
    =
    0
  • (
    8
    x
    −
    3
    y
    −
    7
    		)
    =
    0
  • (
    −
    5
    x
    +
    3
    y
    +
    37
    		)
    =
    0
Question 5
5.
    • Solve
    •  
    • (
      −
      x
      −
      7
      y
      +
      37
      		)
      =
      0
      (
      2
      x
      +
      5
      y
      −
      29
      		)
      =
      0
  • (
    8
    ,
    7
    )
  • (
    4
    ,
    7
    )
  • (
    2
    ,
    5
    )
  • (
    9
    ,
    2
    )
  • (
    0
    ,
    3
    )
Question 6
6.
    • Solve
    •  
    • (
      4
      x
      −
      2
      y
      +
      16
      		)
      =
      0
      (
      16
      x
      −
      8
      y
      +
      64
      		)
      =
      0
  • Infinite solutions
  • (
    (
    −
    2
    )
    ,
    4
    )
  • No solution
  • (
    (
    −
    4
    )
    ,
    6
    )
  • (
    (
    −
    4
    )
    ,
    0
    )
Question 7
7.
    • Solve the following pair of equations :
    •  
       
      13
       
       
      √
      x
      		  −  
       
       
      17
       
       
      √
      y
      =
      15
    •  
       
      14
       
       
      √
      x
      		  −  
       
       
      12
       
       
      √
      y
      =
      -28
  • (
    1
    64
    ,
    1
    49
    )
  • (
    3
    64
    ,
    1
    49
    )
  • (
    1
    64
    ,
    1
    47
    )
  • (
    1
    64
    ,
    (
    -1
    49
    		 )
    )
  • (
    1
    66
    ,
    1
    49
    )
Question 8
8.
A motor boat can travel at a speed of 32.01 m/sec downstream and 25.89 m/sec upstream. What is the speed of the stream?
  • 5.06 m/sec
  • 1.06 m/sec
  • 2.06 m/sec
  • 3.06 m/sec
  • 4.06 m/sec
Question 9
9.
Any line parallel to y-axis is
  • an oblique line
  • a vertical line
  • a horizontal line
  • a curved line
Question 10
10.
Find the equation of the displayed line
  • y
    =
    3
  • y
    =
    4
  • y
    =
    2
  • 4
    y
    =
    3
  • x
    =
    3