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.
    • Find the equation parallel to the given equation
    • (
      4
      x
      +
      5
      y
      −
      2
      		)
      =
      0
  • (
    −
    5
    x
    +
    4
    y
    +
    50
    		)
    =
    0
  • (
    −
    x
    +
    5
    y
    −
    13
    		)
    =
    0
  • (
    4
    x
    +
    5
    y
    +
    2
    		)
    =
    0
  • (
    −
    9
    x
    +
    4
    y
    +
    3
    		)
    =
    0
Question 2
2.
    • Solve
    •  
    • (
      −
      x
      −
      2
      y
      −
      10
      		)
      =
      0
      (
      5
      x
      −
      9
      y
      −
      26
      		)
      =
      0
  • (
    5
    ,
    2
    )
  • (
    (
    −
    2
    )
    ,
    (
    −
    4
    )
    )
  • (
    0
    ,
    (
    −
    2
    )
    )
  • (
    1
    ,
    2
    )
  • (
    (
    −
    4
    )
    ,
    (
    −
    6
    )
    )
Question 3
3.
    • Find the equation of a straight line parallel to y-axis and
    • passing through the point
    • (
      7
      ,
      7
      )
  • x
    =
    7
  • x
    =
    6
  • y
    =
    9
  • x
    =
    9
  • y
    =
    7
Question 4
4.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        2
        )
        ,
        (
        −
        3
        4
        )
        )
      • ,
      • (
        (
        −
        1
        )
        ,
        (
        −
        3
        2
        )
        )
      • ,
      • (
        0
        ,
        (
        −
        9
        4
        )
        )
      • ,
      • (
        1
        ,
        (
        −
        3
        )
        )
      • ,
      • (
        2
        ,
        (
        −
        15
        4
        )
        )
    • ?
  • y
    =
    0
  • x
    =
    9
  • (
    −
    12
    x
    −
    16
    y
    −
    36
    		)
    =
    0
  • y
    =
    (
    −
    3
    4
    x
    +
    27
    4
    		)
  • x
    =
    (
    3
    4
    y
    +
    9
    		)
Question 5
5.
    • Which of the following equations satisfy the given points
      • (
        5
        ,
        (
        −
        2
        )
        )
      • ,
      • (
        5
        ,
        (
        −
        1
        )
        )
      • ,
      • (
        5
        ,
        0
        )
      • ,
      • (
        5
        ,
        1
        )
      • ,
      • (
        5
        ,
        2
        )
    • ?
  • x
    =
    5
  • y
    =
    2
  • (
    −
    16
    x
    −
    11
    y
    −
    13
    		)
    =
    0
  • (
    3
    x
    +
    3
    y
    −
    1
    		)
    =
    0
  • y
    =
    (
    −
    16
    11
    x
    +
    102
    11
    		)
Question 6
6.
    • Which of the following pairs of lines are parallel?
      • (
        −
        7
        x
        +
        2
        y
        +
        45
        		)
        =
        0
      • ,
      • (
        −
        5
        x
        +
        7
        y
        −
        11
        		)
        =
        0
      • (
        −
        7
        x
        +
        2
        y
        +
        45
        		)
        =
        0
      • ,
      • (
        −
        7
        x
        +
        2
        y
        +
        8
        		)
        =
        0
      • (
        −
        7
        x
        +
        2
        y
        +
        45
        		)
        =
        0
      • ,
      • (
        −
        9
        x
        +
        2
        y
        +
        12
        		)
        =
        0
      • (
        −
        7
        x
        +
        2
        y
        +
        45
        		)
        =
        0
      • ,
      • (
        2
        x
        +
        7
        y
        +
        24
        		)
        =
        0
Question 7
7.
    • Solve
    •  
    • (
      −
      5
      x
      −
      3
      y
      +
      26
      		)
      =
      0
      (
      5
      x
      +
      3
      y
      +
      21
      		)
      =
      0
  • No solution
  • (
    0
    ,
    (
    −
    7
    )
    )
  • (
    (
    −
    1
    )
    ,
    5
    )
  • Infinite solutions
  • (
    1
    ,
    7
    )
Question 8
8.
    • Which of the following lines do not pass through the origin?
  • (
    −
    6
    x
    +
    3
    y
    		)
    =
    0
  • (
    3
    x
    −
    7
    y
    		)
    =
    0
  • (
    −
    x
    −
    5
    y
    		)
    =
    0
  • (
    x
    +
    5
    y
    +
    33
    		)
    =
    0
  • (
    6
    x
    +
    8
    y
    		)
    =
    0
Question 9
9.
The ratio of coefficients of x and y in the equations of any two parallel lines is
  • 1
  • not same
  • same
  • not proportional
  • 2
Question 10
10.
    • Solve the following pair of equations :
    •   −  
       
       
      2
       
       
      (
      2
      x
      +
      y
      		)
      		  +  
       
       
      5
       
       
      (
      2
      x
      −
      y
      		)
      =
       
       
      (
      −
      36
      		)
    •  
       
      14
       
       
      (
      2
      x
      +
      y
      		)
      		  −  
       
       
      2
       
       
      (
      2
      x
      −
      y
      		)
      =
       
       
      54
  • (
    1
    26
    ,
    1
    4
    )
  • (
    1
    8
    ,
    1
    4
    )
  • (
    1
    24
    ,
    1
    2
    )
  • (
    1
    24
    ,
    1
    4
    )
  • (
    1
    24
    ,
    (
    -1
    4
    		 )
    )