CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Quadratic Equations
Question 1
1.
A stream flows from A to B, a distance of 7.00 km. A man who can row in still water at 10.00 kmph, can row up and down in 3.89 hr . What is the speed of the stream?
  • 6.00 kmph
  • 10.00 kmph
  • 8.00 kmph
  • 7.00 kmph
  • 9.00 kmph
Question 2
2.
    • Find the quadratic equation, the sum of whose roots is
    • 16
    • and product is
    • 64
  • (
    x
    2
     
    −
    13
    x
    +
    64
    		)
    =
    0
  • (
    −
    16
    x
    +
    64
    		)
    =
    0
  • (
    2
    x
    2
     
    −
    16
    x
    +
    64
    		)
    =
    0
  • (
    x
    2
     
    −
    18
    x
    +
    64
    		)
    =
    0
  • (
    x
    2
     
    −
    16
    x
    +
    64
    		)
    =
    0
Question 3
3.
    • Find
    • a
    • and
    • b
    • in order that
    • (
      x
      3
       
      −
      8
      x
      2
       
      		)
      		  +  
      (
      a
      x
      +
      b
      		)
    • may be exactly divisible by
    • (
      x
      2
       
      −
      5
      x
      +
      4
      		)
  • a
    =
    19
    ,
    b
    =
    -12
  • a
    =
    18
    ,
    b
    =
    -13
  • a
    =
    21
    ,
    b
    =
    -10
  • a
    =
    20
    ,
    b
    =
    -11
  • a
    =
    17
    ,
    b
    =
    -15
Question 4
4.
    • Find the roots of the quadratic equation
    • (
      36
      x
      2
       
      −
      32
      x
      −
      4
      		)
      =
      0
  • (
    2
    ,
    (
    -1
    7
    		 )
    )
  • (
    1
    ,
    (
    -1
    9
    		 )
    )
  • (
    4
    ,
    (
    -1
    3
    		 )
    )
  • (
    4
    ,
    (
    -1
    7
    		 )
    )
  • (
    2
    ,
    (
    -1
    9
    		 )
    )
Question 5
5.
    • Solve :
    •  
       
      x
      2
       
      		  +  
       
       
      6
      x
      		  −  
       
       
      4
      		 = 
      0
  • (
    −
    3

    √

    4
    +

    √

    13
    )
    ,
    (
    −
    3

    √

    4
    −

    √

    13
    )
  • (
    −
    3

    √

    5
    +

    √

    13
    )
    ,
    (
    −
    3

    √

    5
    −

    √

    13
    )
  • (
    −
    3
    +

    √

    26
    )
    ,
    (
    −
    3
    −

    √

    26
    )
  • (
    −
    3
    +

    √

    39
    )
    ,
    (
    −
    3
    −

    √

    39
    )
  • (
    −
    3
    +

    √

    13
    )
    ,
    (
    −
    3
    −

    √

    13
    )
Question 6
6.
    • Solve :
    • (
      x
      −
      2
      		)
      (
      x
      −
      1
      		)
      x
      (
      x
      +
      1
      		)
      =
      5040
  • 9
    ,
    (
    −
    8
    )
  • 7
    ,
    (
    −
    11
    )
  • 10
    ,
    (
    −
    7
    )
  • 8
    ,
    (
    −
    9
    )
  • 12
    ,
    (
    −
    6
    )
Question 7
7.
    • Solve :
    •  
       
      63
      x
      2
      b
      4
      		  −  
       
       
      19
      a
      x
      b
      2
      		  −  
       
       
      4
      a
      2
    • = 0
  • −
     
     
    a
     
     
    7
    b
    2
    ,
     
     
    4
    a
     
     
    9
    b
    2
  • −
     
     
    a
     
     
    5
    b
    2
    ,
     
     
    4
    a
     
     
    7
    b
    2
  • −
     
     
    3
    a
     
     
    7
    b
    2
    ,
     
     
    2
    a
     
     
    9
    b
    2
  • −
     
     
    a
     
     
    9
    b
    2
    ,
     
     
    4
    a
     
     
    11
    b
    2
  •  
     
    a
     
     
    7
    b
    2
    ,
     
     
    2
    a
     
     
    3
    b
    2
Question 8
8.
    • The sum of the roots of the quadratic equation
    • x
      2
       
      =
      0
    • is
  • 1
  • -2
  • 0
  • 2
  • -1
Question 9
9.
    • If
    • 3
    • is the root of
    • (
      x
      2
       
      +
      k
      x
      +
      27
      		)
      =
      0
    • , find
    • k
    • and the other root
      • k
      • =
      • -15
      • , and the other root =
      • 7
      • k
      • =
      • -9
      • , and the other root =
      • 12
      • k
      • =
      • -12
      • , and the other root =
      • 9
      • k
      • =
      • -11
      • , and the other root =
      • 10
      • k
      • =
      • -13
      • , and the other root =
      • 8
Question 10
10.
    • Solve :
    •  
       
      36
      x
      2
      		  −  
       
       
      19
      a
      x
      		  −  
       
       
      7
      a
      2
    • = 0
  •  
     
    5
    a
     
     
    9
    ,
    −
     
     
    3
    a
     
     
    4
  •  
     
    a
    ,
     
     
    a
     
     
    4
  •  
     
    7
    a
     
     
    11
    ,
    −
     
     
    a
     
     
    6
  •  
     
    7
    a
     
     
    9
    ,
    −
     
     
    a
     
     
    4
  •  
     
    a
    ,
    −
     
     
    a
     
     
    2