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
        +
        12
        y
        +
        13
        		)
        =
        0
      • ,
      • (
        5
        x
        +
        7
        y
        −
        56
        		)
        =
        0
      • (
        −
        7
        x
        +
        12
        y
        +
        13
        		)
        =
        0
      • ,
      • (
        −
        19
        x
        +
        12
        y
        −
        26
        		)
        =
        0
      • (
        −
        7
        x
        +
        12
        y
        +
        13
        		)
        =
        0
      • ,
      • (
        −
        7
        x
        +
        12
        y
        −
        2
        		)
        =
        0
      • (
        −
        7
        x
        +
        12
        y
        +
        13
        		)
        =
        0
      • ,
      • (
        12
        x
        +
        7
        y
        −
        56
        		)
        =
        0
Question 2
2.
    • Solve
    • (
      2
      x
      +
      3
      y
      +
      4
      		)
      =
      (
      −
      5
      		)
      (
      x
      −
      2
      y
      −
      4
      		)
      =
      2
  • (
    2
    ,
    -5
    )
  • (
    0
    ,
    -3
    )
  • (
    2
    ,
    -4
    )
  • (
    1
    ,
    -3
    )
  • (
    1
    ,
    -4
    )
Question 3
3.
    • Find the set of points satisfying the equation
    		•
      y
      =
      9
    • (
      (
      −
      2
      )
      ,
      9
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      9
      )
    • ,
    • (
      1
      ,
      8
      )
    • ,
    • (
      1
      ,
      9
      )
    • ,
    • (
      2
      ,
      9
      )
    • (
      (
      −
      2
      )
      ,
      9
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      9
      )
    • ,
    • (
      0
      ,
      9
      )
    • ,
    • (
      0
      ,
      10
      )
    • ,
    • (
      2
      ,
      9
      )
    • (
      (
      −
      2
      )
      ,
      9
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      9
      )
    • ,
    • (
      0
      ,
      9
      )
    • ,
    • (
      1
      ,
      9
      )
    • ,
    • (
      2
      ,
      9
      )
    • (
      (
      −
      2
      )
      ,
      9
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      9
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      7
      )
    • ,
    • (
      1
      ,
      9
      )
    • ,
    • (
      2
      ,
      9
      )
    • (
      (
      −
      2
      )
      ,
      9
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      9
      )
    • ,
    • (
      0
      ,
      9
      )
    • ,
    • (
      1
      ,
      9
      )
    • ,
    • (
      4
      ,
      11
      )
Question 4
4.
    • Solve
    •  
    • (
      −
      7
      x
      −
      5
      y
      +
      14
      		)
      =
      0
      (
      y
      −
      7
      		)
      =
      0
  • (
    2
    ,
    0
    )
  • (
    (
    −
    3
    )
    ,
    7
    )
  • (
    0
    ,
    7
    )
  • (
    (
    −
    3
    )
    ,
    0
    )
  • (
    1
    ,
    (
    −
    7
    )
    )
Question 5
5.
    • Which of the displayed lines represent the equation
    • (
      3
      x
      −
      5
      y
      +
      4
      		)
      =
      0
    • ?
      • line with point
      • N
      • line with point
      • P
      • line with point
      • O
      • line with point
      • M
      • line with point
      • Q
Question 6
6.
    • Solve the following pair of equations :
    •  
       
      2
       
       
      (
      x
      −
      4
      		)
      		  +  
       
       
      5
       
       
      (
      y
      −
      5
      		)
      =
       
       
      33
    •   −  
       
       
      2
       
       
      (
      x
      −
      4
      		)
      		  +  
       
       
      2
       
       
      (
      y
      −
      5
      		)
      =
       
       
      16
  • (
    3
    ,
    -3
    )
  • (
    3
    ,
    -1
    )
  • (
    1
    ,
    36
    7
    )
  • (
    2
    ,
    36
    7
    )
  • (
    3
    ,
    36
    7
    )
Question 7
7.
    • Find the equation of the line passing through the points
    • (
      3
      ,
      6
      )
    • and
    • (
      8
      ,
      (
      −
      3
      )
      )
  • (
    −
    10
    x
    −
    5
    y
    +
    57
    		)
    =
    0
  • (
    −
    8
    x
    −
    5
    y
    +
    57
    		)
    =
    0
  • (
    9
    x
    +
    5
    y
    −
    66
    		)
    =
    0
  • (
    −
    9
    x
    −
    5
    y
    +
    57
    		)
    =
    0
  • (
    9
    x
    +
    5
    y
    −
    62
    		)
    =
    0
Question 8
8.
    • Solve the following pair of equations :
    • (
      8
      x
      +
      14
      y
      		)
      x
      y
      =
      -54
    • (
      4
      x
      +
      10
      y
      		)
      x
      y
      =
      -30
  • (
    1
    -1
    ,
    1
    5
    )
  • (
    1
    -1
    ,
    (
    -1
    7
    		 )
    )
  • (
    2
    ,
    (
    -1
    5
    		 )
    )
  • (
    0
    ,
    (
    -1
    5
    		 )
    )
  • (
    1
    -1
    ,
    (
    -1
    5
    		 )
    )
Question 9
9.
The equation of the x-axis is
a)
    • y
      =
      0
b)
    • x
      =
      0
c)
    • x
      =
      1
d)
    • x
      =
      y
e)
    • y
      =
      1
  • {b,a}
  • {d,e,a}
  • {a}
  • {c,a}
Question 10
10.
    • Solve
    • (
      5
      x
      +
      y
      −
      5
      		)
      =
      (
      −
      4
      x
      −
      y
      −
      1
      		)
      (
      4
      x
      +
      y
      +
      1
      		)
      =
      (
      −
      2
      x
      −
      4
      y
      +
      3
      		)
  • (
    6
    11
    ,
    (
    -2
    9
    		 )
    )
  • (
    16
    33
    ,
    (
    -2
    11
    		 )
    )
  • (
    6
    11
    ,
    (
    -4
    11
    		 )
    )
  • (
    16
    35
    ,
    (
    -2
    9
    		 )
    )
  • (
    16
    35
    ,
    (
    -2
    11
    		 )
    )