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
    •  
    • (
      4
      x
      −
      y
      +
      5
      		)
      =
      0
      (
      −
      4
      x
      +
      y
      −
      24
      		)
      =
      0
  • Infinite solutions
  • (
    (
    −
    5
    )
    ,
    (
    −
    9
    )
    )
  • (
    (
    −
    3
    )
    ,
    (
    −
    7
    )
    )
  • (
    (
    −
    5
    )
    ,
    4
    )
  • No solution
Question 2
2.
    • Solve the following pair of equations :
    •  
       
      4
       
       
      (
      x
      −
      3
      		)
      		  +  
       
       
      5
       
       
      (
      y
      +
      1
      		)
      =
       
       
      2
    •  
       
      1
       
       
      (
      x
      −
      3
      		)
      		  +  
       
       
      11
       
       
      (
      y
      +
      1
      		)
      =
       
       
      (
      −
      19
      		)
  • (
    1
    ,
    (
    -3
    2
    		 )
    )
  • (
    10
    3
    ,
    -2
    )
  • (
    2
    ,
    (
    -3
    2
    		 )
    )
  • (
    10
    3
    ,
    -1
    )
  • (
    10
    3
    ,
    (
    -3
    2
    		 )
    )
Question 3
3.
    • Solve
    •  
    • (
      −
      8
      x
      −
      5
      y
      +
      14
      		)
      =
      0
      (
      x
      +
      2
      		)
      =
      0
  • (
    (
    −
    2
    )
    ,
    6
    )
  • (
    (
    −
    2
    )
    ,
    0
    )
  • (
    4
    ,
    2
    )
  • (
    0
    ,
    6
    )
  • (
    3
    ,
    (
    −
    2
    )
    )
Question 4
4.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        2
        )
        ,
        4
        3
        )
      • ,
      • (
        (
        −
        1
        )
        ,
        5
        6
        )
      • ,
      • (
        0
        ,
        1
        3
        )
      • ,
      • (
        1
        ,
        (
        −
        1
        6
        )
        )
      • ,
      • (
        2
        ,
        (
        −
        2
        3
        )
        )
    • ?
  • x
    =
    3
  • (
    3
    x
    +
    6
    y
    −
    2
    		)
    =
    0
  • x
    =
    (
    6
    5
    y
    −
    21
    5
    		)
  • y
    =
    6
  • (
    −
    6
    x
    −
    5
    y
    −
    3
    		)
    =
    0
Question 5
5.
    • Solve the following pair of equations :
    •   −  
       
       
      8
       
       
      √
      x
      		  −  
       
       
      4
       
       
      √
      y
      =
      16
    •   −  
       
       
      12
       
       
      √
      x
      		  +  
       
       
      5
       
       
      √
      y
      =
      68
  • (
    1
    18
    ,
    1
    16
    )
  • (
    3
    16
    ,
    1
    16
    )
  • (
    1
    16
    ,
    1
    16
    )
  • (
    1
    16
    ,
    (
    -1
    16
    		 )
    )
  • (
    1
    16
    ,
    1
    14
    )
Question 6
6.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        2
        )
        ,
        16
        11
        )
      • ,
      • (
        (
        −
        1
        )
        ,
        4
        11
        )
      • ,
      • (
        0
        ,
        (
        −
        8
        11
        )
        )
      • ,
      • (
        1
        ,
        (
        −
        20
        11
        )
        )
      • ,
      • (
        2
        ,
        (
        −
        32
        11
        )
        )
    • ?
  • y
    =
    (
    −
    12
    11
    x
    −
    63
    11
    		)
  • y
    =
    3
  • x
    =
    (
    12
    11
    y
    −
    124
    11
    		)
  • (
    6
    x
    +
    9
    y
    −
    4
    		)
    =
    0
  • (
    −
    12
    x
    −
    11
    y
    −
    8
    		)
    =
    0
Question 7
7.
    • Solve the following pair of equations :
    •   −  
       
       
      12
       
       
      x
      		  +  
       
       
      y
      =
       
       
      (
      −
      66
      		)
    •  
       
      2
       
       
      x
      		  +  
       
       
      15
      y
      =
       
       
      102
  • (
    1
    2
    ,
    6
    )
  • (
    1
    6
    ,
    3
    )
  • (
    1
    8
    ,
    6
    )
  • (
    1
    6
    ,
    5
    )
  • (
    1
    6
    ,
    6
    )
Question 8
8.
    • Which of the displayed lines represent the equation
    • x
      =
      2
      • line with point
      • Q
      • line with point
      • R
      • line with point
      • S
      • line with point
      • O
      • line with point
      • P
Question 9
9.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      −
      6
      5
      x
      		)
      • line with point
      • T
      • line with point
      • S
      • line with point
      • Q
      • line with point
      • R
      • line with point
      • P
Question 10
10.
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 differ in the constant and coefficients of x and y will not be same
c)
Equations of two parallel lines have the same constant and coefficients of x and y will be same
d)
Equations of two parallel lines have the same constant and coefficients of x and y will not be same
  • {a}
  • {b,a}
  • {d,b,a}
  • {c,a}