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
        )
        ,
        0
        )
      • ,
      • (
        (
        −
        1
        )
        ,
        (
        −
        6
        7
        )
        )
      • ,
      • (
        0
        ,
        (
        −
        12
        7
        )
        )
      • ,
      • (
        1
        ,
        (
        −
        18
        7
        )
        )
      • ,
      • (
        2
        ,
        (
        −
        24
        7
        )
        )
    • ?
  • x
    =
    (
    6
    7
    y
    −
    99
    7
    		)
  • y
    =
    (
    −
    6
    7
    x
    −
    12
    7
    		)
  • (
    −
    6
    x
    −
    7
    y
    −
    17
    		)
    =
    0
  • x
    =
    (
    −
    9
    		)
  • (
    7
    x
    +
    10
    y
    −
    4
    		)
    =
    0
Question 2
2.
    • Find the set of points satisfying the equation
    		•
      x
      =
      (
      −
      4
      13
      y
      +
      19
      13
      		)
    • (
      (
      −
      2
      )
      ,
      45
      4
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      8
      )
    • ,
    • (
      0
      ,
      19
      4
      )
    • ,
    • (
      0
      ,
      5
      2
      )
    • ,
    • (
      2
      ,
      (
      −
      7
      4
      )
      )
    • (
      (
      −
      2
      )
      ,
      45
      4
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      8
      )
    • ,
    • (
      0
      ,
      19
      4
      )
    • ,
    • (
      1
      ,
      3
      2
      )
    • ,
    • (
      2
      ,
      (
      −
      7
      4
      )
      )
    • (
      (
      −
      2
      )
      ,
      45
      4
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      8
      )
    • ,
    • (
      0
      ,
      19
      4
      )
    • ,
    • (
      1
      ,
      3
      2
      )
    • ,
    • (
      4
      ,
      1
      4
      )
    • (
      (
      −
      2
      )
      ,
      45
      4
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      8
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      11
      4
      )
    • ,
    • (
      1
      ,
      3
      2
      )
    • ,
    • (
      2
      ,
      (
      −
      7
      4
      )
      )
    • (
      (
      −
      2
      )
      ,
      45
      4
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      8
      )
    • ,
    • (
      1
      ,
      15
      4
      )
    • ,
    • (
      1
      ,
      3
      2
      )
    • ,
    • (
      2
      ,
      (
      −
      7
      4
      )
      )
Question 3
3.
    • Find the equation of the line passing through the points
    • (
      (
      −
      6
      )
      ,
      6
      )
    • and
    • (
      1
      ,
      5
      )
  • (
    x
    +
    7
    y
    −
    37
    		)
    =
    0
  • (
    −
    2
    x
    −
    7
    y
    +
    36
    		)
    =
    0
  • (
    −
    x
    −
    7
    y
    +
    36
    		)
    =
    0
  • (
    x
    +
    7
    y
    −
    43
    		)
    =
    0
  • (
    −
    7
    y
    +
    36
    		)
    =
    0
Question 4
4.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        2
        )
        ,
        11
        8
        )
      • ,
      • (
        (
        −
        1
        )
        ,
        3
        4
        )
      • ,
      • (
        0
        ,
        1
        8
        )
      • ,
      • (
        1
        ,
        (
        −
        1
        2
        )
        )
      • ,
      • (
        2
        ,
        (
        −
        9
        8
        )
        )
    • ?
  • (
    5
    x
    +
    8
    y
    −
    1
    		)
    =
    0
  • x
    =
    (
    11
    10
    y
    +
    149
    10
    		)
  • (
    −
    11
    x
    −
    10
    y
    +
    36
    		)
    =
    0
  • x
    =
    5
  • y
    =
    (
    −
    9
    		)
Question 5
5.
    • Solve
    • (
      −
      5
      x
      −
      2
      y
      +
      1
      		)
      =
      0
      (
      −
      4
      x
      −
      y
      −
      5
      		)
      =
      0
  • (
    (
    -17
    5
    		 )
    ,
    11
    )
  • (
    (
    -11
    3
    		 )
    ,
    29
    3
    )
  • (
    -3
    ,
    11
    )
  • (
    -3
    ,
    9
    )
  • (
    (
    -17
    5
    		 )
    ,
    29
    3
    )
Question 6
6.
    • Solve the following pair of equations :
    •  
       
      13
       
       
      √
      x
      		  −  
       
       
      15
       
       
      √
      y
      =
      44
    •  
       
      18
       
       
      √
      x
      		  −  
       
       
      14
       
       
      √
      y
      =
      0
  • (
    1
    49
    ,
    (
    -1
    81
    		 )
    )
  • (
    1
    51
    ,
    1
    81
    )
  • (
    1
    49
    ,
    1
    81
    )
  • (
    1
    49
    ,
    1
    79
    )
  • (
    3
    49
    ,
    1
    81
    )
Question 7
7.
    • Find the equation parallel to the given equation
    • (
      x
      +
      6
      y
      −
      1
      		)
      =
      0
  • (
    −
    5
    x
    +
    6
    y
    −
    33
    		)
    =
    0
  • (
    −
    7
    x
    +
    y
    +
    9
    		)
    =
    0
  • (
    −
    6
    x
    +
    y
    −
    22
    		)
    =
    0
  • (
    x
    +
    6
    y
    −
    2
    		)
    =
    0
Question 8
8.
    • Solve
    • (
      −
      5
      x
      −
      4
      y
      +
      2
      		)
      =
      1
      (
      2
      x
      +
      5
      y
      −
      4
      		)
      =
      0
  • (
    (
    -11
    17
    		 )
    ,
    18
    17
    )
  • (
    (
    -11
    19
    		 )
    ,
    18
    17
    )
  • (
    (
    -11
    19
    		 )
    ,
    16
    15
    )
  • (
    (
    -9
    17
    		 )
    ,
    16
    15
    )
  • (
    (
    -9
    17
    		 )
    ,
    16
    17
    )
Question 9
9.
    • Solve
    • (
      2
      x
      −
      y
      −
      9
      		)
      =
      0
      (
      −
      7
      x
      +
      14
      y
      		)
      =
      0
  • (
    9
    ,
    3
    )
  • (
    6
    ,
    0
    )
  • (
    7
    ,
    3
    )
  • (
    6
    ,
    2
    )
  • (
    6
    ,
    3
    )
Question 10
10.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      −
      8
      		)
      • line with point
      • P
      • line with point
      • R
      • line with point
      • S
      • line with point
      • T
      • line with point
      • Q