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 set of points satisfying the equation
    • (
      7
      x
      +
      5
      y
      −
      4
      		)
      =
      0
    • (
      (
      −
      2
      )
      ,
      18
      5
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      11
      5
      )
    • ,
    • (
      0
      ,
      4
      5
      )
    • ,
    • (
      1
      ,
      (
      −
      3
      5
      )
      )
    • ,
    • (
      4
      ,
      0
      )
    • (
      (
      −
      2
      )
      ,
      18
      5
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      11
      5
      )
    • ,
    • (
      0
      ,
      4
      5
      )
    • ,
    • (
      1
      ,
      (
      −
      3
      5
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      2
      )
      )
    • (
      (
      −
      2
      )
      ,
      18
      5
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      11
      5
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      6
      5
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      3
      5
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      2
      )
      )
    • (
      (
      −
      2
      )
      ,
      18
      5
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      11
      5
      )
    • ,
    • (
      1
      ,
      (
      −
      1
      5
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      3
      5
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      2
      )
      )
    • (
      (
      −
      2
      )
      ,
      18
      5
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      11
      5
      )
    • ,
    • (
      0
      ,
      4
      5
      )
    • ,
    • (
      0
      ,
      2
      5
      )
    • ,
    • (
      2
      ,
      (
      −
      2
      )
      )
Question 2
2.
    • Which of the following pairs of lines are parallel?
      • (
        3
        x
        +
        3
        y
        +
        36
        		)
        =
        0
      • ,
      • (
        −
        2
        x
        +
        y
        		)
        =
        0
      • (
        3
        x
        +
        3
        y
        +
        36
        		)
        =
        0
      • ,
      • (
        y
        −
        1
        		)
        =
        0
      • (
        3
        x
        +
        3
        y
        +
        36
        		)
        =
        0
      • ,
      • (
        −
        x
        +
        y
        +
        4
        		)
        =
        0
      • (
        3
        x
        +
        3
        y
        +
        36
        		)
        =
        0
      • ,
      • (
        3
        x
        +
        3
        y
        +
        9
        		)
        =
        0
Question 3
3.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
  • x
    =
    k
  • y
    =
    k
  • x
    =
    y
  • x
    =
    0
  • y
    =
    0
Question 4
4.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
  • y
    =
    k
  • x
    =
    y
  • y
    =
    0
  • x
    =
    0
  • x
    =
    k
Question 5
5.
    • Find the set of points satisfying the equation
    		•
      x
      =
      (
      −
      7
      12
      y
      +
      4
      3
      		)
    • (
      (
      −
      2
      )
      ,
      40
      7
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      4
      )
    • ,
    • (
      0
      ,
      16
      7
      )
    • ,
    • (
      1
      ,
      4
      7
      )
    • ,
    • (
      4
      ,
      6
      7
      )
    • (
      (
      −
      2
      )
      ,
      40
      7
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      4
      )
    • ,
    • (
      1
      ,
      9
      7
      )
    • ,
    • (
      1
      ,
      4
      7
      )
    • ,
    • (
      2
      ,
      (
      −
      8
      7
      )
      )
    • (
      (
      −
      2
      )
      ,
      40
      7
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      4
      )
    • ,
    • (
      0
      ,
      16
      7
      )
    • ,
    • (
      1
      ,
      4
      7
      )
    • ,
    • (
      2
      ,
      (
      −
      8
      7
      )
      )
    • (
      (
      −
      2
      )
      ,
      40
      7
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      4
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      2
      7
      )
    • ,
    • (
      1
      ,
      4
      7
      )
    • ,
    • (
      2
      ,
      (
      −
      8
      7
      )
      )
    • (
      (
      −
      2
      )
      ,
      40
      7
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      4
      )
    • ,
    • (
      0
      ,
      16
      7
      )
    • ,
    • (
      0
      ,
      11
      7
      )
    • ,
    • (
      2
      ,
      (
      −
      8
      7
      )
      )
Question 6
6.
Find the equation of the displayed line
  • 3
    y
    =
    (
    −
    2
    		)
  • y
    =
    (
    −
    1
    		)
  • x
    =
    (
    −
    2
    		)
  • y
    =
    (
    −
    2
    		)
  • y
    =
    (
    −
    3
    		)
Question 7
7.
    • Solve the following pair of equations :
    •   −  
       
       
      4
       
       
      √
      x
      		  +  
       
       
      15
       
       
      √
      y
      =
      -88
    •  
       
      12
       
       
      √
      x
      		  +  
       
       
      14
       
       
      √
      y
      =
      28
  • (
    1
    49
    ,
    1
    16
    )
  • (
    1
    49
    ,
    (
    -1
    16
    		 )
    )
  • (
    3
    49
    ,
    1
    16
    )
  • (
    1
    49
    ,
    1
    14
    )
  • (
    1
    51
    ,
    1
    16
    )
Question 8
8.
Find the equation of the displayed line
  • x
    =
    4
  • 4
    x
    =
    5
  • y
    =
    5
  • x
    =
    6
  • x
    =
    5
Question 9
9.
    • Solve the following pair of equations :
    •   −  
       
       
      12
      x
      		  −  
       
       
      16
       
       
      y
      =
       
       
      44
    •  
       
      x
      		  −  
       
       
      4
       
       
      y
      =
       
       
      (
      −
      25
      		)
  • (
    -9
    ,
    1
    2
    )
  • (
    -9
    ,
    1
    4
    )
  • (
    -9
    ,
    (
    -1
    4
    		 )
    )
  • (
    -8
    ,
    1
    4
    )
  • (
    -7
    ,
    1
    4
    )
Question 10
10.
The ratio of coefficients of x and y in the equations of any two parallel lines is
  • 2
  • 1
  • not proportional
  • not same
  • same