SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Pair of Linear Equations in Two Variables
Question 1
1.
    • Solve the following pair of equations :
    • (
      2
      x
      +
      7
      y
      		)
      =
      (
      −
      4
      x
      y
      		)
    • (
      x
      +
      2
      y
      		)
      =
      (
      −
      5
      x
      y
      		)
  • (
    1
    2
    ,
    (
    -1
    9
    		 )
    )
  • (
    1
    4
    ,
    (
    -1
    9
    		 )
    )
  • (
    1
    2
    ,
    (
    -1
    11
    		 )
    )
  • (
    1
    2
    ,
    1
    9
    )
  • (
    3
    2
    ,
    (
    -1
    9
    		 )
    )
Question 2
2.
    • Solve
    •  
    • (
      −
      6
      x
      +
      3
      y
      −
      36
      		)
      =
      0
      (
      −
      6
      x
      +
      3
      y
      		)
      =
      0
  • (
    (
    −
    4
    )
    ,
    4
    )
  • No solution
  • Infinite solutions
  • (
    (
    −
    6
    )
    ,
    2
    )
  • (
    (
    −
    1
    )
    ,
    (
    −
    2
    )
    )
Question 3
3.
    • Solve
    • (
      4
      x
      +
      4
      y
      −
      3
      		)
      =
      0
      (
      3
      x
      −
      4
      y
      +
      5
      		)
      =
      0
  • (
    (
    -2
    9
    		 )
    ,
    29
    28
    )
  • (
    0
    ,
    27
    26
    )
  • (
    0
    ,
    27
    28
    )
  • (
    (
    -2
    7
    		 )
    ,
    29
    28
    )
  • (
    (
    -2
    9
    		 )
    ,
    27
    26
    )
Question 4
4.
    • Solve the following pair of equations :
    •   −  
       
       
      6
       
       
      (
      3
      x
      +
      y
      		)
      		  −  
       
       
      9
       
       
      (
      3
      x
      −
      y
      		)
      =
       
       
      27
    •  
       
      6
       
       
      (
      3
      x
      +
      y
      		)
      		  −  
       
       
      1
       
       
      (
      3
      x
      −
      y
      		)
      =
       
       
      (
      −
      57
      		)
  • (
    1
    27
    ,
    (
    -4
    9
    		 )
    )
  • (
    1
    27
    ,
    (
    -2
    7
    		 )
    )
  • (
    1
    27
    ,
    (
    -2
    9
    		 )
    )
  • (
    1
    9
    ,
    (
    -2
    9
    		 )
    )
  • (
    1
    29
    ,
    (
    -2
    9
    		 )
    )
Question 5
5.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
  • x
    =
    k
  • y
    =
    k
  • x
    =
    0
  • y
    =
    0
  • x
    =
    y
Question 6
6.
    • Find the equation parallel to the given equation
    • (
      −
      4
      x
      −
      3
      y
      −
      8
      		)
      =
      0
  • (
    x
    +
    3
    y
    −
    2
    		)
    =
    0
  • (
    −
    7
    x
    +
    4
    y
    −
    63
    		)
    =
    0
  • (
    −
    4
    x
    −
    3
    y
    −
    4
    		)
    =
    0
  • (
    −
    3
    x
    +
    4
    y
    +
    21
    		)
    =
    0
Question 7
7.
    • Solve the following pair of equations :
    •   −  
       
       
      3
       
       
      (
      x
      +
      y
      		)
      		  −  
       
       
      6
       
       
      (
      x
      −
      y
      		)
      =
       
       
      45
    •  
       
      13
       
       
      (
      x
      +
      y
      		)
      		  −  
       
       
      4
       
       
      (
      x
      −
      y
      		)
      =
       
       
      (
      −
      15
      		)
  • (
    (
    -1
    4
    		 )
    ,
    (
    -1
    4
    		 )
    )
  • (
    (
    -1
    4
    		 )
    ,
    (
    -1
    10
    		 )
    )
  • (
    1
    4
    ,
    (
    -1
    12
    		 )
    )
  • (
    (
    -1
    6
    		 )
    ,
    (
    -1
    12
    		 )
    )
  • (
    (
    -1
    4
    		 )
    ,
    (
    -1
    12
    		 )
    )
Question 8
8.
    • Find the value of k such that
    • (
      3
      x
      −
      9
      y
      +
      48
      		)
      =
      0
    • and
    • (
      k
      x
      		  +  
      3
      y
      		  −  
      18
      ) = 0
    • are parallel to each other
  • -2
  • 2
  • 0
  • -3
  • -1
Question 9
9.
    • Which of the following pairs of lines are parallel?
      • (
        3
        x
        +
        y
        −
        7
        		)
        =
        0
      • ,
      • (
        3
        x
        +
        y
        +
        9
        		)
        =
        0
      • (
        3
        x
        +
        y
        −
        7
        		)
        =
        0
      • ,
      • (
        −
        4
        x
        +
        3
        y
        −
        38
        		)
        =
        0
      • (
        3
        x
        +
        y
        −
        7
        		)
        =
        0
      • ,
      • (
        2
        x
        +
        y
        +
        6
        		)
        =
        0
      • (
        3
        x
        +
        y
        −
        7
        		)
        =
        0
      • ,
      • (
        −
        x
        +
        3
        y
        −
        23
        		)
        =
        0
Question 10
10.
    • Solve
    • (
      10
      x
      +
      6
      y
      +
      42
      		)
      =
      0
      (
      4
      x
      −
      12
      y
      −
      12
      		)
      =
      0
  • (
    -1
    ,
    -2
    )
  • (
    -3
    ,
    -2
    )
  • (
    -3
    ,
    -3
    )
  • (
    -2
    ,
    -2
    )
  • (
    -3
    ,
    -4
    )