CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Quadratic Equations
Question 1
1.
    • Solve :
    •  
       
      27
      x
      2
      		  +  
       
       
      15
      a
      2
      b
      x
      		  −  
       
       
      8
      a
      4
      b
      2
    • = 0
  •  
     
    a
    2
    b
    ,
    −
     
     
    2
    a
    2
    b
     
     
    3
  •  
     
    a
    2
    b
     
     
    3
    ,
    −
     
     
    8
    a
    2
    b
     
     
    9
  • −
     
     
    a
    2
    b
     
     
    3
    ,
    −
     
     
    10
    a
    2
    b
     
     
    9
  •  
     
    a
    2
    b
     
     
    5
    ,
    −
     
     
    8
    a
    2
    b
     
     
    11
  •  
     
    a
    2
    b
    ,
    −
     
     
    8
    a
    2
    b
     
     
    7
Question 2
2.
    • Solve :
    •  
       
      30
      x
      2
      a
      4
      b
      2
      		  −  
       
       
      11
      x
      a
      2
      b
      		  +  
       
       
      1
    • = 0
  •  
     
    1
     
     
    7
    a
    2
    b
    ,
     
     
    1
     
     
    8
    a
    2
    b
  •  
     
    3
     
     
    5
    a
    2
    b
    ,
     
     
    1
     
     
    2
    a
    2
    b
  •  
     
    1
     
     
    3
    a
    2
    b
    ,
     
     
    1
     
     
    4
    a
    2
    b
  • −
     
     
    1
     
     
    5
    a
    2
    b
    ,
    −
     
     
    1
     
     
    6
    a
    2
    b
  •  
     
    1
     
     
    5
    a
    2
    b
    ,
     
     
    1
     
     
    6
    a
    2
    b
Question 3
3.
    • Find the quadratic equation with roots
    • (
      (
      -3
      2
      		 )
      ,
      (
      -3
      2
      		 )
      )
  • (
    4
    x
    2
     
    +
    16
    x
    +
    15
    		)
    =
    0
  • (
    2
    x
    2
     
    +
    9
    x
    +
    9
    		)
    =
    0
  • (
    4
    x
    2
     
    +
    8
    x
    +
    3
    		)
    =
    0
  • (
    4
    x
    2
     
    +
    12
    x
    +
    9
    		)
    =
    0
  • (
    8
    x
    2
     
    +
    18
    x
    +
    9
    		)
    =
    0
Question 4
4.
    • Solve :
    •  
       
      x
      2
       
      		  +  
       
       
      8
      x
      		  +  
       
       
      11
      		 = 
      0
  • (
    −
    4

    √

    5
    +

    √

    5
    )
    ,
    (
    −
    4

    √

    5
    −

    √

    5
    )
  • (
    −
    4
    +

    √

    10
    )
    ,
    (
    −
    4
    −

    √

    10
    )
  • (
    −
    4

    √

    4
    +

    √

    5
    )
    ,
    (
    −
    4

    √

    4
    −

    √

    5
    )
  • (
    −
    4
    +

    √

    15
    )
    ,
    (
    −
    4
    −

    √

    15
    )
  • (
    −
    4
    +

    √

    5
    )
    ,
    (
    −
    4
    −

    √

    5
    )
Question 5
5.
    • Solve :
    •  
       
      63
      x
      2
      		  +  
       
       
      28
      x
      		  +  
       
       
      36
      x
      b
      		  +  
       
       
      16
      b
    • = 0
  • −
     
     
    2
     
     
    9
    ,
    −
     
     
    2
    b
     
     
    7
  • −
     
     
    4
     
     
    7
    ,
    −
     
     
    4
    b
     
     
    5
  • −
     
     
    4
     
     
    11
    ,
    −
     
     
    4
    b
     
     
    9
  • −
     
     
    2
     
     
    3
    ,
    −
     
     
    6
    b
     
     
    7
  • −
     
     
    4
     
     
    9
    ,
    −
     
     
    4
    b
     
     
    7
Question 6
6.
    • Find the roots of the quadratic equation
    • (
      45
      x
      2
       
      −
      10
      x
      		)
      =
      0
  • (
    4
    9
    ,
    -2
    )
  • (
    4
    9
    ,
    -1
    )
  • (
    2
    11
    ,
    0
    )
  • (
    2
    9
    ,
    0
    )
  • (
    2
    11
    ,
    -1
    )
Question 7
7.
    • Find the number which exceeds its reciprocal by
    • 19
      19
      20
  • 23
  • 21
  • 17
  • 19
  • 20
Question 8
8.
The area of a rectangular room is 576.00 sq.m. If the length and breadth are increased by 10 m, the area would become 1406.00 sq.m. Find the original dimensions of the room
  • 3.00 m , 192.00 m
  • 4.00 m , 144.00 m
  • 2.00 m , 288.00 m
  • 9.00 m , 64.00 m
Question 9
9.
The perimeter of a rectangular room is 80.00 m and the length of its diagonal is 29.15 m . Find the dimensions of the room
  • 23.00 m , 17.00 m
  • 25.00 m , 15.00 m
  • 27.00 m , 13.00 m
  • 26.00 m , 14.00 m
  • 24.00 m , 16.00 m
Question 10
10.
    • Solve :
    •  
       
      16
      x
      2
      a
      4
      		  −  
       
       
      6
      b
      x
      a
      2
      		  −  
       
       
      7
      b
      2
    • = 0
  • 0
    ,
     
     
    9
    b
     
     
    8
    a
    2
  • −
     
     
    b
     
     
    2
    a
    2
    ,
     
     
    7
    b
     
     
    8
    a
    2
  • −
     
     
    b
     
     
    a
    2
    ,
     
     
    7
    b
     
     
    6
    a
    2
  • −
     
     
    b
     
     
    a
    2
    ,
     
     
    5
    b
     
     
    8
    a
    2
  • −
     
     
    b
     
     
    3
    a
    2
    ,
     
     
    7
    b
     
     
    10
    a
    2