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.
    • Which of the following pairs of lines are parallel?
      • (
        7
        x
        −
        2
        y
        −
        2
        		)
        =
        0
      • ,
      • (
        −
        9
        x
        +
        2
        y
        −
        84
        		)
        =
        0
      • (
        7
        x
        −
        2
        y
        −
        2
        		)
        =
        0
      • ,
      • (
        −
        5
        x
        +
        7
        y
        −
        65
        		)
        =
        0
      • (
        7
        x
        −
        2
        y
        −
        2
        		)
        =
        0
      • ,
      • (
        2
        x
        +
        7
        y
        −
        23
        		)
        =
        0
      • (
        7
        x
        −
        2
        y
        −
        2
        		)
        =
        0
      • ,
      • (
        −
        7
        x
        +
        2
        y
        −
        68
        		)
        =
        0
Question 2
2.
    • Solve the following pair of equations :
    • (
      −
      14
      x
      +
      6
      y
      		)
      =
      2
      x
      y
    • (
      −
      11
      x
      −
      2
      y
      		)
      =
      62
      x
      y
  • (
    (
    -1
    9
    		 )
    ,
    (
    -1
    6
    		 )
    )
  • (
    (
    -1
    9
    		 )
    ,
    1
    4
    )
  • (
    (
    -1
    3
    		 )
    ,
    (
    -1
    4
    		 )
    )
  • (
    (
    -1
    7
    		 )
    ,
    (
    -1
    4
    		 )
    )
  • (
    (
    -1
    9
    		 )
    ,
    (
    -1
    4
    		 )
    )
Question 3
3.
    • Solve
    •  
    • (
      −
      3
      x
      +
      14
      y
      −
      77
      		)
      =
      0
      (
      −
      3
      x
      +
      14
      y
      +
      63
      		)
      =
      0
  • Infinite solutions
  • No solution
  • (
    7
    ,
    (
    −
    3
    )
    )
  • (
    7
    ,
    7
    )
  • (
    5
    ,
    5
    )
Question 4
4.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        2
        )
        ,
        33
        5
        )
      • ,
      • (
        (
        −
        1
        )
        ,
        18
        5
        )
      • ,
      • (
        0
        ,
        3
        5
        )
      • ,
      • (
        1
        ,
        (
        −
        12
        5
        )
        )
      • ,
      • (
        2
        ,
        (
        −
        27
        5
        )
        )
    • ?
  • (
    −
    10
    x
    −
    14
    y
    +
    14
    		)
    =
    0
  • (
    15
    x
    +
    5
    y
    −
    3
    		)
    =
    0
  • y
    =
    4
  • x
    =
    (
    5
    7
    y
    −
    48
    7
    		)
  • y
    =
    (
    −
    5
    7
    x
    +
    8
    7
    		)
Question 5
5.
The ratio of coefficients of x and y in the equations of any two parallel lines is
  • not same
  • 2
  • same
  • not proportional
  • 1
Question 6
6.
Any line parallel to y-axis is
  • a curved line
  • a horizontal line
  • a vertical line
  • an oblique line
Question 7
7.
    • Solve the following pair of equations :
    •  
       
      5
      x
      		  +  
       
       
      2
       
       
      y
      =
       
       
      53
    •   −  
       
       
      6
      x
      		  +  
       
       
      13
       
       
      y
      =
       
       
      (
      −
      2
      		)
  • (
    9
    ,
    1
    2
    )
  • (
    9
    ,
    (
    -1
    4
    		 )
    )
  • (
    10
    ,
    1
    4
    )
  • (
    9
    ,
    1
    4
    )
  • (
    12
    ,
    1
    4
    )
Question 8
8.
    • Find the equation of a straight line parallel to y-axis and
    • passing through the point
    • (
      2
      ,
      (
      −
      8
      )
      )
  • x
    =
    2
  • x
    =
    1
  • y
    =
    (
    −
    5
    		)
  • y
    =
    (
    −
    8
    		)
  • x
    =
    5
Question 9
9.
    • 9
    • men and
    • 5
    • women can do a piece of work in
    • 8
    • days.
    • 3
    • men and
    • 20
    • women can do the same work in
    • 8
    • days.
    • In how many days can
    • 4
    • men and
    • 5
    • women complete the same work?
  • 14
    2
    5
    days
  • 16
    days
  • 15
    1
    3
    days
  • 14
    days
  • 14
    2
    3
    days
Question 10
10.
Any line parallel to x-axis is
  • a curved line
  • a vertical line
  • an oblique line
  • a horizontal line