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 equations satisfy the given points
      • (
        (
        −
        2
        )
        ,
        (
        −
        1
        11
        )
        )
      • ,
      • (
        (
        −
        1
        )
        ,
        (
        −
        6
        11
        )
        )
      • ,
      • (
        0
        ,
        (
        −
        1
        )
        )
      • ,
      • (
        1
        ,
        (
        −
        16
        11
        )
        )
      • ,
      • (
        2
        ,
        (
        −
        21
        11
        )
        )
    • ?
  • (
    16
    x
    +
    21
    y
    −
    14
    		)
    =
    0
  • y
    =
    (
    −
    5
    11
    x
    −
    1
    		)
  • x
    =
    0
  • y
    =
    (
    −
    1
    		)
  • (
    −
    5
    x
    −
    11
    y
    +
    8
    		)
    =
    0
Question 2
2.
Find the equation parallel to the given equation
  • (
    y
    +
    4
    		)
    =
    0
  • (
    −
    4
    x
    −
    4
    y
    −
    6
    		)
    =
    0
  • (
    8
    x
    +
    4
    y
    −
    44
    		)
    =
    0
  • (
    4
    x
    −
    4
    y
    −
    2
    		)
    =
    0
Question 3
3.
    • Which of the following pairs of lines are parallel?
      • (
        7
        x
        −
        6
        y
        −
        7
        		)
        =
        0
      • ,
      • (
        6
        x
        +
        7
        y
        −
        27
        		)
        =
        0
      • (
        7
        x
        −
        6
        y
        −
        7
        		)
        =
        0
      • ,
      • (
        −
        x
        +
        7
        y
        −
        20
        		)
        =
        0
      • (
        7
        x
        −
        6
        y
        −
        7
        		)
        =
        0
      • ,
      • (
        −
        13
        x
        +
        6
        y
        +
        77
        		)
        =
        0
      • (
        7
        x
        −
        6
        y
        −
        7
        		)
        =
        0
      • ,
      • (
        −
        7
        x
        +
        6
        y
        +
        47
        		)
        =
        0
Question 4
4.
    • Find the set of points satisfying the equation
    		•
      x
      =
      (
      −
      1
      9
      y
      −
      10
      3
      		)
    • (
      (
      −
      2
      )
      ,
      (
      −
      12
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      21
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      30
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      39
      )
      )
    • ,
    • (
      4
      ,
      (
      −
      46
      )
      )
    • (
      (
      −
      2
      )
      ,
      (
      −
      12
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      21
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      30
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      38
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      48
      )
      )
    • (
      (
      −
      2
      )
      ,
      (
      −
      12
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      21
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      31
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      39
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      48
      )
      )
    • (
      (
      −
      2
      )
      ,
      (
      −
      12
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      21
      )
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      32
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      39
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      48
      )
      )
    • (
      (
      −
      2
      )
      ,
      (
      −
      12
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      21
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      30
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      39
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      48
      )
      )
Question 5
5.
Which of the following are true ?
a)
Equations of two parallel lines differ in the constant term only, coefficients of x and y will be same
b)
Equations of two parallel lines have the same constant and coefficients of x and y will not be same
c)
Equations of two parallel lines differ in the constant and coefficients of x and y will not be same
d)
Equations of two parallel lines have the same constant and coefficients of x and y will be same
  • {b,a}
  • {a}
  • {d,b,a}
  • {c,a}
Question 6
6.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      −
      8
      		)
      • line with point
      • V
      • line with point
      • U
      • line with point
      • X
      • line with point
      • T
      • line with point
      • W
Question 7
7.
    • Solve
    •  
    • (
      4
      x
      −
      y
      +
      19
      		)
      =
      0
      (
      −
      7
      y
      +
      49
      		)
      =
      0
  • (
    (
    −
    2
    )
    ,
    6
    )
  • (
    (
    −
    4
    )
    ,
    8
    )
  • (
    (
    −
    1
    )
    ,
    9
    )
  • (
    (
    −
    5
    )
    ,
    5
    )
  • (
    (
    −
    3
    )
    ,
    7
    )
Question 8
8.
Find the equation of the displayed line
  • y
    =
    5
  • y
    =
    4
  • x
    =
    5
  • y
    =
    6
  • 3
    y
    =
    5
Question 9
9.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
  • x
    =
    0
  • y
    =
    k
  • y
    =
    0
  • x
    =
    k
  • x
    =
    y
Question 10
10.
    • Solve the following pair of equations :
    •   −  
       
       
      1
       
       
      (
      x
      +
      y
      		)
      		  +  
       
       
      12
       
       
      (
      x
      −
      y
      		)
      =
       
       
      (
      −
      15
      		)
    •  
       
      2
       
       
      (
      x
      +
      y
      		)
      		  −  
       
       
      6
       
       
      (
      x
      −
      y
      		)
      =
       
       
      12
  • (
    1
    3
    ,
    2
    3
    )
  • (
    (
    -1
    3
    		 )
    ,
    2
    3
    )
  • (
    (
    -1
    3
    		 )
    ,
    2
    )
  • (
    (
    -1
    5
    		 )
    ,
    2
    3
    )
  • (
    (
    -1
    3
    		 )
    ,
    0
    )