CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Quadratic Equations
Question 1
1.
    • Solve :
    •   −  
       
       
      3
       
       
      (
      −
      x
      −
      3
      		)
      		  −  
       
       
      5
       
       
      (
      −
      x
      +
      3
      		)
      =
        −  
       
       
      4
  • 3

    √

    5
    ,
    (
    −
    3

    √

    5
    )
  • 3
    ,
    (
    −
    3
    )
  • 3

    √

    3
    ,
    (
    −
    3

    √

    3
    )
  • 3

    √

    4
    ,
    (
    −
    3

    √

    4
    )
  • 3

    √

    2
    ,
    (
    −
    3

    √

    2
    )
Question 2
2.
Find the number which is less than its square by 210
  • 16
  • 12
  • 15
  • 14
  • 17
Question 3
3.
    • Find the quadratic equation, the sum of whose roots is
    • (
      -5
      3
      		 )
    • and product is
    • 2
      3
  • (
    −
    12
    x
    2
     
    −
    22
    x
    −
    8
    		)
    =
    0
  • (
    −
    13
    x
    2
     
    −
    20
    x
    −
    8
    		)
    =
    0
  • (
    −
    11
    x
    2
     
    −
    20
    x
    −
    8
    		)
    =
    0
  • (
    −
    12
    x
    2
     
    −
    17
    x
    −
    8
    		)
    =
    0
  • (
    −
    12
    x
    2
     
    −
    20
    x
    −
    8
    		)
    =
    0
Question 4
4.
    • The sum of the roots of the quadratic equation
    • (
      x
      2
       
      −
      6
      x
      +
      9
      		)
      =
      0
    • is
  • 7
  • 5
  • 9
  • 3
  • 6
Question 5
5.
The perimeter of a rectangular room is 64.00 m and the length of its diagonal is 23.71 m . Find the dimensions of the room
  • 23.00 m , 9.00 m
  • 20.00 m , 12.00 m
  • 22.00 m , 10.00 m
  • 21.00 m , 11.00 m
  • 19.00 m , 13.00 m
Question 6
6.
The sum of the squares of two consecutive even numbers is 580. Find the numbers
      • 17
      • ,
      • 19
      • or
      • (-17)
      • ,
      • (-19)
      • 16
      • ,
      • 18
      • or
      • (-16)
      • ,
      • (-18)
        		•
      • 19
      • ,
      • 20
      • or
      • (-19)
      • ,
      • (-20)
      • 14
      • ,
      • 16
      • or
      • (-14)
      • ,
      • (-16)
      • 15
      • ,
      • 17
      • or
      • (-15)
      • ,
      • (-17)
Question 7
7.
    • For what values of
    • k
    • are the roots of
    •  
       
      (
      k
      −
      20
      		)
      x
      2
      		  +  
       
       
      (
      k
      +
      1
      		)
      x
      		  +  
       
       
      (
      k
      −
      44
      		)
      =
      0
    • equal
  • (
    18
    ,
    68
    )
  • (
    20
    ,
    66
    )
  • (
    20
    ,
    68
    )
  • (
    17
    ,
    69
    )
  • (
    18
    ,
    69
    )
Question 8
8.
In a two digit number, the unit's digit exceeds it ten's digit by 2 and the product of the given number and the sum of its digits is equal to 52 . Find the number
  • 35
  • 13
  • 46
  • 24
Question 9
9.
    • Solve :
    •  
       
      27
      x
      2
      		  +  
       
       
      18
      x
      		  +  
       
       
      3
      x
      b
      		  +  
       
       
      2
      b
    • = 0
  • −
     
     
    1
     
     
    3
    ,
     
     
    b
     
     
    9
  • −
     
     
    2
     
     
    3
    ,
    −
     
     
    b
     
     
    9
  • −
     
     
    1
    ,
    −
     
     
    b
     
     
    3
  • −
     
     
    1
     
     
    2
    ,
    −
     
     
    b
     
     
    11
  • −
     
     
    1
    ,
    −
     
     
    b
     
     
    7
Question 10
10.
Find two natural numbers which differ by 7 and the sum of whose squares is 5329
  • (
    51
    ,
    57
    )
  • (
    49
    ,
    56
    )
  • (
    47
    ,
    54
    )
  • (
    48
    ,
    55
    )
  • (
    45
    ,
    52
    )