CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Quadratic Equations
Question 1
1.
In a two digit number, the unit's digit exceeds it ten's digit by 5 and the product of the given number and the sum of its digits is equal to 637 . Find the number
  • 60
  • 38
  • 27
  • 49
  • 71
Question 2
2.
    • If
    • 8
    • is the root of
    • (
      x
      2
       
      +
      k
      x
      −
      8
      		)
      =
      0
    • , find
    • k
    • and the other root
      • k
      • =
      • -7
      • , and the other root =
      • -1
      • k
      • =
      • -5
      • , and the other root =
      • 2
      • k
      • =
      • -10
      • , and the other root =
      • -4
      • k
      • =
      • -6
      • , and the other root =
      • 0
      • k
      • =
      • -8
      • , and the other root =
      • -2
Question 3
3.
    • Solve :
    • (
       
       
      x
       
       
      (
      x
      −
      1
      		)
      		)
      2
      +
      15
      (
       
       
      x
       
       
      (
      x
      −
      1
      		)
      		)
      +
       
       
      54
      = 0
  • 8
    7
    ,
    11
    10
  • 4
    7
    ,
    7
    10
  • 6
    5
    ,
    9
    8
  • 6
    7
    ,
    9
    10
  • 2
    3
    ,
    3
    4
Question 4
4.
    • Solve :
    •   −  
       
       
      4

      √

      2
      x
      2
       
      		  −  
       
       
      14
      x
      		  −  
       
       
      6

      √

      2
      		 = 
      0

  • √

    8
    (
    −
    2

    √

    4
    )
    ,
    (
    −
    3
    )

    √

    32

  • √

    32
    (
    −
    2
    )
    ,
    (
    −
    3

    √

    4
    )

    √

    8

  • √

    8
    (
    −
    2
    )
    ,
    (
    −
    3
    )

    √

    8

  • √

    32
    (
    −
    2
    )
    ,
    (
    −
    3
    )

    √

    8

  • √

    8
    (
    −
    2
    )
    ,
    (
    −
    3
    )

    √

    32
Question 5
5.
    • The product of the roots of the quadratic equation
    • (
      x
      2
       
      +
      6
      x
      +
      9
      		)
      =
      0
    • is
  • 12
  • 6
  • 9
  • 8
  • 10
Question 6
6.
    • Find the quadratic equation with roots
    • (
      9
      7
      ,
      9
      7
      )
  • (
    7
    x
    2
     
    −
    16
    x
    +
    9
    		)
    =
    0
  • (
    35
    x
    2
     
    −
    108
    x
    +
    81
    		)
    =
    0
  • (
    49
    x
    2
     
    −
    140
    x
    +
    99
    		)
    =
    0
  • (
    49
    x
    2
     
    −
    126
    x
    +
    81
    		)
    =
    0
Question 7
7.
    • Find
    • a
    • and
    • b
    • in order that
    • (
      x
      3
       
      +
      x
      2
       
      		)
      		  +  
      (
      a
      x
      +
      b
      		)
    • may be exactly divisible by
    • (
      x
      2
       
      +
      9
      x
      +
      14
      		)
  • a
    =
    -60
    ,
    b
    =
    -115
  • a
    =
    -58
    ,
    b
    =
    -112
  • a
    =
    -56
    ,
    b
    =
    -110
  • a
    =
    -57
    ,
    b
    =
    -111
  • a
    =
    -59
    ,
    b
    =
    -113
Question 8
8.
    • Find the roots of the quadratic equation correct to two decimal places
    • (
      30
      x
      2
       
      +
      20
      x
      		)
      =
      0
  • 2.00 , 1.33
  • 7.00 , 6.33
  • 8.00 , 7.33
  • 1.00 , 0.33
  • 0.00 , -0.67
Question 9
9.
A stream flows from A to B, a distance of 6.00 km. A man who can row in still water at 7.00 kmph, can row up and down in 3.50 hr . What is the speed of the stream?
  • 4.00 kmph
  • 7.00 kmph
  • 6.00 kmph
  • 5.00 kmph
  • 3.00 kmph
Question 10
10.
    • The product of the roots of the quadratic equation
    • (
      −
      28
      x
      2
       
      −
      44
      x
      −
      16
      		)
      =
      0
    • is
  • 4
    5
  • 4
    7
  • 6
    7
  • 2
    7
  • 4
    9