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
    •  
    • (
      x
      +
      7
      		)
      =
      0
      (
      x
      −
      4
      		)
      =
      0
  • Infinite solutions
  • (
    1
    ,
    4
    )
  • No solution
  • (
    (
    −
    1
    )
    ,
    (
    −
    2
    )
    )
  • (
    1
    ,
    0
    )
Question 2
2.
    • Solve
    •  
    • (
      −
      5
      x
      +
      3
      y
      +
      18
      		)
      =
      0
      (
      y
      −
      4
      		)
      =
      0
  • (
    6
    ,
    4
    )
  • (
    3
    ,
    (
    −
    1
    )
    )
  • (
    6
    ,
    0
    )
  • (
    0
    ,
    4
    )
  • (
    5
    ,
    (
    −
    7
    )
    )
Question 3
3.
    • Solve the following pair of equations :
    • (
      9
      x
      −
      4
      y
      		)
      x
      y
      =
      18
    • (
      8
      x
      −
      8
      y
      		)
      x
      y
      =
      -24
  • (
    1
    11
    ,
    1
    6
    )
  • (
    1
    9
    ,
    1
    6
    )
  • (
    1
    9
    ,
    (
    -1
    6
    		 )
    )
  • (
    1
    3
    ,
    1
    6
    )
  • (
    1
    9
    ,
    1
    4
    )
Question 4
4.
    • Solve
    •  
    • (
      −
      x
      +
      12
      y
      +
      18
      		)
      =
      0
      (
      −
      x
      −
      9
      y
      −
      24
      		)
      =
      0
  • (
    (
    −
    4
    )
    ,
    0
    )
  • (
    (
    −
    6
    )
    ,
    (
    −
    2
    )
    )
  • (
    (
    −
    8
    )
    ,
    (
    −
    4
    )
    )
  • (
    6
    ,
    6
    )
  • (
    5
    ,
    2
    )
Question 5
5.
    • Solve
    • (
      −
      5
      x
      +
      4
      y
      		)
      =
      (
      2
      x
      +
      2
      y
      −
      2
      		)
      (
      −
      4
      x
      +
      3
      y
      −
      1
      		)
      =
      (
      x
      −
      4
      y
      +
      5
      		)
  • (
    4
    3
    ,
    2
    )
  • (
    4
    3
    ,
    2
    3
    )
  • (
    2
    5
    ,
    4
    3
    )
  • (
    2
    5
    ,
    2
    )
  • (
    2
    3
    ,
    4
    3
    )
Question 6
6.
    • Solve the following pair of equations :
    •   −  
       
       
      16
       
       
      (
      x
      +
      y
      		)
      		  +  
       
       
      2
       
       
      (
      x
      −
      y
      		)
      =
       
       
      (
      −
      34
      		)
    •   −  
       
       
      12
       
       
      (
      x
      +
      y
      		)
      		  +  
       
       
      12
       
       
      (
      x
      −
      y
      		)
      =
       
       
      48
  • (
    5
    21
    ,
    2
    19
    )
  • (
    5
    23
    ,
    2
    21
    )
  • (
    5
    21
    ,
    0
    )
  • (
    5
    21
    ,
    2
    21
    )
  • (
    1
    3
    ,
    2
    21
    )
Question 7
7.
    • Solve the following pair of equations :
    •   −  
       
       
      5
       
       
      (
      x
      +
      9
      		)
      		  −  
       
       
      7
       
       
      (
      y
      +
      3
      		)
      =
       
       
      (
      −
      10
      		)
    •  
       
      1
       
       
      (
      x
      +
      9
      		)
      		  −  
       
       
      10
       
       
      (
      y
      +
      3
      		)
      =
       
       
      (
      −
      55
      		)
  • (
    (
    -46
    5
    		 )
    ,
    -2
    )
  • (
    2
    ,
    (
    -14
    5
    		 )
    )
  • (
    (
    -46
    5
    		 )
    ,
    -1
    )
  • (
    1
    ,
    (
    -14
    5
    		 )
    )
  • (
    (
    -46
    5
    		 )
    ,
    (
    -14
    5
    		 )
    )
Question 8
8.
Which of the following are true ?
a)
Equations of two parallel lines differ in the constant and coefficients of x and y will not 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 have the same constant and coefficients of x and y will be same
d)
Equations of two parallel lines differ in the constant term only, coefficients of x and y will be same
  • {c,a,d}
  • {b,d}
  • {a,d}
  • {d}
Question 9
9.
    • Which of the displayed lines represent the equation
    • (
      5
      x
      −
      5
      y
      −
      10
      		)
      =
      0
    • ?
      • line with point
      • R
      • line with point
      • P
      • line with point
      • Q
      • line with point
      • N
      • line with point
      • O
Question 10
10.
The ratio of coefficients of x and y in the equations of any two parallel lines is
  • not same
  • not proportional
  • 2
  • 1
  • same