CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Quadratic Equations
Question 1
1.
    • Find the quadratic equation with roots
    • (
      6
      ,
      6
      )
  • (
    x
    2
     
    −
    13
    x
    +
    42
    		)
    =
    0
  • (
    x
    2
     
    −
    12
    x
    +
    36
    		)
    =
    0
  • (
    x
    2
     
    −
    14
    x
    +
    48
    		)
    =
    0
  • (
    x
    2
     
    −
    9
    x
    +
    18
    		)
    =
    0
  • (
    x
    2
     
    −
    11
    x
    +
    30
    		)
    =
    0
Question 2
2.
    • If
    • p
    • and
    • q
    • are the roots of
    • (
      x
      2
       
      −
      8
      x
      +
      7
      		)
      =
      0
    • ,
    • find the equation whose roots are
    •  
       
      p
      		  +  
       
       
      1
       
       
      q
    • and
    •  
       
      q
      		  +  
       
       
      1
       
       
      p
  • (
    7
    x
    2
     
    −
    85
    x
    +
    88
    		)
    =
    0
  • (
    7
    x
    2
     
    −
    71
    x
    +
    72
    		)
    =
    0
  • (
    7
    x
    2
     
    −
    62
    x
    +
    48
    		)
    =
    0
  • (
    7
    x
    2
     
    −
    64
    x
    +
    64
    		)
    =
    0
  • (
    5
    x
    2
     
    −
    46
    x
    +
    48
    		)
    =
    0
Question 3
3.
    • Solve :
    •  
       
      6
      x
      2
       
      		  −  
       
       
      6

      √

      6
      x
      		  +  
       
       
      8
      		 = 
      0
  • 2

    √

    24
    ,
    4

    √

    24
  • 2

    √

    6
    ,
    4

    √

    6
  • 2

    √

    4

    √

    6
    ,
    4

    √

    6
  • 2

    √

    4

    √

    6
    ,
    4

    √

    4

    √

    6
  • 2

    √

    6
    ,
    4

    √

    24
Question 4
4.
    • Find the discriminant of the quadratic equation
    • (
      4
      x
      2
       
      +
      2
      x
      +
      4
      		)
      =
      0
  • -60
  • -62
  • -61
  • -58
  • -59
Question 5
5.
    • Solve :
    •  
       
      18
      x
      2
      a
      		  +  
       
       
      4
      x
      		  −  
       
       
      9
      x
      a
      		  −  
       
       
      2
    • = 0
  • −
     
     
    2
     
     
    9
    a
    ,
     
     
    1
     
     
    2
  • 0
    ,
     
     
    3
     
     
    2
  • −
     
     
    2
     
     
    11
    a
    ,
     
     
    1
     
     
    4
  • −
     
     
    4
     
     
    9
    a
    ,
    −
     
     
    1
     
     
    2
  • −
     
     
    2
     
     
    7
    a
    ,
     
     
    1
Question 6
6.
    • Solve :
    •  
       
      14
      x
      2
      		  −  
       
       
      19
      a
      2
      b
      x
      		  +  
       
       
      6
      a
      4
      b
      2
    • = 0
  •  
     
    3
    a
    2
    b
     
     
    4
    ,
     
     
    8
    a
    2
    b
     
     
    7
  •  
     
    4
    a
    2
    b
     
     
    8
    ,
     
     
    6
    a
    2
    b
     
     
    7
  •  
     
    a
    2
    b
     
     
    4
    ,
     
     
    4
    a
    2
    b
     
     
    7
  •  
     
    2
    a
    2
    b
     
     
    3
    ,
     
     
    6
    a
    2
    b
     
     
    5
  •  
     
    2
    a
    2
    b
     
     
    5
    ,
     
     
    2
    a
    2
    b
     
     
    3
Question 7
7.
    • Factorize
    • (
      16
      x
      2
       
      −
      100
      		)
      • (
        4
        x
        +
        10
        		)
      • (
        4
        x
        +
        10
        		)
      • (
        4
        x
        −
        10
        		)
      • (
        4
        x
        −
        10
        		)
      • (
        4
        x
        +
        10
        		)
      • (
        4
        x
        −
        10
        		)
      • (
        4
        x
        −
        5
        		)
      • (
        4
        x
        +
        20
        		)
      • (
        4
        x
        +
        5
        		)
      • (
        4
        x
        −
        20
        		)
Question 8
8.
    • Find the quadratic equation, the sum of whose roots is
    • -10
    • and product is
    • 25
  • (
    10
    x
    +
    25
    		)
    =
    0
  • (
    x
    2
     
    +
    8
    x
    +
    25
    		)
    =
    0
  • (
    2
    x
    2
     
    +
    10
    x
    +
    25
    		)
    =
    0
  • (
    x
    2
     
    +
    12
    x
    +
    25
    		)
    =
    0
  • (
    x
    2
     
    +
    10
    x
    +
    25
    		)
    =
    0
Question 9
9.
Find two natural numbers which differ by 16 and the sum of whose squares is 706
  • (
    6
    ,
    23
    )
  • (
    10
    ,
    26
    )
  • (
    9
    ,
    25
    )
  • (
    8
    ,
    24
    )
  • (
    11
    ,
    27
    )
Question 10
10.
    • Solve :
    • (
      18
      x
      +
      1
      		)
      (
      15
      x
      +
      2
      		)
    • =
    • (
      7
      x
      +
      4
      		)
      (
      6
      x
      +
      3
      		)
  • (
    8
    ,
    1
    3
    )
  • (
    2
    ,
    -1
    )
  • (
    5
    ,
    (
    -1
    3
    		 )
    )
  • (
    -5
    ,
    1
    3
    )
  • (
    4
    ,
    -1
    )