SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Quadratic Equations
Question 1
1.
    • Solve :
    •  
       
      √
      (
      4
      x
      2
       
      +
      10
      x
      +
      4
      		)
      		 = 
       
       
      (
      x
      −
      3
      		)
  • (
    −
    8
    3
    −
    1
    3

    √

    158
    )
    ,
    (
    −
    8
    3
    +
    1
    3

    √

    158
    )
  • (
    −
    8
    3

    √

    4
    −
    1
    3

    √

    79
    )
    ,
    (
    −
    8
    3

    √

    4
    +
    1
    3

    √

    79
    )
  • (
    −
    8
    3

    √

    5
    −
    1
    3

    √

    79
    )
    ,
    (
    −
    8
    3

    √

    5
    +
    1
    3

    √

    79
    )
  • (
    −
    8
    3
    −
    1
    3

    √

    79
    )
    ,
    (
    −
    8
    3
    +
    1
    3

    √

    79
    )
  • (
    −
    8
    3
    −
    1
    3

    √

    237
    )
    ,
    (
    −
    8
    3
    +
    1
    3

    √

    237
    )
Question 2
2.
A number is of two digits. The digit in unit's place is the square of the digit in ten's place. The number formed by reversing the digits exceeds twice the number by (-6) . Find the number
  • 26
  • 24
  • 21
  • 25
  • 23
Question 3
3.
    • Find the roots of the quadratic equation
    • (
      x
      2
       
      +
      16
      x
      +
      63
      		)
      =
      0
  • (
    -5
    ,
    -10
    )
  • (
    -6
    ,
    -9
    )
  • (
    -6
    ,
    -10
    )
  • (
    -5
    ,
    -11
    )
  • (
    -7
    ,
    -9
    )
Question 4
4.
    • Solve :
    • (
      32
      x
      +
      1
      		)
      (
      17
      x
      +
      1
      		)
    • =
    • (
      71
      x
      +
      1
      		)
      (
      38
      x
      +
      1
      		)
  • (
    4
    ,
    2
    )
  • (
    1
    ,
    -1
    )
  • (
    -2
    ,
    0
    )
  • (
    2
    ,
    0
    )
  • (
    0
    ,
    -2
    )
Question 5
5.
    • Solve :
    • (
      x
      4
       
      −
      9
      x
      2
       
      +
      18
      		)
      =
      0

  • √

    3
    ,
    (
    −

    √

    3
    )
    ,
    1
    ,
    (
    −

    √

    1
    3
    )

  • √

    9
    ,
    (
    −

    √

    8
    )
    ,

    √

    5
    ,
    (
    −

    √

    6
    )

  • √

    6
    ,
    (
    −

    √

    6
    )
    ,

    √

    3
    ,
    (
    −

    √

    3
    )
  • 6
    ,
    (
    −
    6
    )
    ,
    3
    ,
    (
    −
    3
    )
  • 4
    √

    6
    ,
    (
    −
    4
    √

    6
    )
    ,
    4
    √

    3
    ,
    (
    −
    4
    √

    3
    )
Question 6
6.
    • Solve :
    •  
       
      36
      x
      2
      a
      4
      b
      2
      		  −  
       
       
      7
      x
      a
      2
      b
      		  −  
       
       
      4
    • = 0
  • −
     
     
    1
     
     
    3
    a
    2
    b
    ,
     
     
    4
     
     
    7
    a
    2
    b
  • −
     
     
    1
     
     
    4
    a
    2
    b
    ,
     
     
    4
     
     
    9
    a
    2
    b
  • −
     
     
    1
     
     
    2
    a
    2
    b
    ,
     
     
    2
     
     
    9
    a
    2
    b
  • 0
    ,
     
     
    2
     
     
    3
    a
    2
    b
  • −
     
     
    1
     
     
    5
    a
    2
    b
    ,
     
     
    4
     
     
    11
    a
    2
    b
Question 7
7.
    • Find the discriminant of the quadratic equation
    • (
      x
      2
       
      +
      3
      x
      −
      10
      		)
      =
      0
  • 48
  • 52
  • 50
  • 49
  • 47
Question 8
8.
    • If
    • -2
    • is the root of
    • (
      x
      2
       
      +
      k
      x
      +
      8
      		)
      =
      0
    • , find
    • k
    • and the other root
      • k
      • =
      • 3
      • , and the other root =
      • -7
      • k
      • =
      • 6
      • , and the other root =
      • -4
      • k
      • =
      • 7
      • , and the other root =
      • -3
      • k
      • =
      • 8
      • , and the other root =
      • -1
      • k
      • =
      • 5
      • , and the other root =
      • -5
Question 9
9.
    • Solve :
    •  
       
      √
      (
      −
      5
      x
      +
      6
      		)
      		 = 
       
       
      (
      x
      +
      9
      		)
  • (
    −
    23
    2
    +
    1
    2

    √

    458
    )
    ,
    (
    −
    23
    2
    −
    1
    2

    √

    458
    )
  • (
    −
    23
    2

    √

    4
    +
    1
    2

    √

    229
    )
    ,
    (
    −
    23
    2

    √

    4
    −
    1
    2

    √

    229
    )
  • (
    −
    23
    2
    +
    1
    2

    √

    687
    )
    ,
    (
    −
    23
    2
    −
    1
    2

    √

    687
    )
  • (
    −
    23
    2

    √

    5
    +
    1
    2

    √

    229
    )
    ,
    (
    −
    23
    2

    √

    5
    −
    1
    2

    √

    229
    )
  • (
    −
    23
    2
    +
    1
    2

    √

    229
    )
    ,
    (
    −
    23
    2
    −
    1
    2

    √

    229
    )
Question 10
10.
    • Solve :
    • (
      x
      +
      9
      		)
      (
      x
      +
      10
      		)
      (
      x
      +
      11
      		)
      (
      x
      +
      12
      		)
      =
      120
  • (
    −
    10
    )
    ,
    (
    −
    17
    )
  • (
    −
    7
    )
    ,
    (
    −
    14
    )
  • (
    −
    4
    )
    ,
    (
    −
    11
    )
  • (
    −
    6
    )
    ,
    (
    −
    13
    )
  • (
    −
    8
    )
    ,
    (
    −
    15
    )