CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Quadratic Equations
Question 1
1.
    • Find the discriminant of the quadratic equation
    • x
      2
       
      =
      0
  • 1
  • -1
  • 0
  • -3
  • 2
Question 2
2.
Find the number which is less than its square by 240
  • 18
  • 14
  • 15
  • 17
  • 16
Question 3
3.
The sum of the squares of two consecutive even numbers is 4. Find the numbers
      • 0
      • ,
      • 3
      • or
      • 0
      • ,
      • (-3)
      • (-2)
      • ,
      • 0
      • or
      • 2
      • ,
      • 0
        		•
      • (-3)
      • ,
      • (-1)
      • or
      • 3
      • ,
      • 1
      • (-5)
      • ,
      • (-3)
      • or
      • 5
      • ,
      • 3
      • (-1)
      • ,
      • 1
      • or
      • 1
      • ,
      • (-1)
Question 4
4.
    • The sum of the roots of the quadratic equation
    • (
      x
      2
       
      +
      2
      x
      +
      1
      		)
      =
      0
    • is
  • -4
  • -3
  • 0
  • -1
  • -2
Question 5
5.
    • Find the quadratic equation whose roots are
    • (
      8
      −
      6

      √

      5
      )
    • and
    • (
      8
      +
      6

      √

      5
      )
  • (
    2
    x
    2
     
    −
    16
    x
    −
    116
    		)
    =
    0
  • (
    −
    16
    x
    −
    116
    		)
    =
    0
  • (
    x
    2
     
    −
    16
    x
    −
    116
    		)
    =
    0
  • (
    x
    2
     
    −
    14
    x
    −
    116
    		)
    =
    0
  • (
    x
    2
     
    −
    19
    x
    −
    116
    		)
    =
    0
Question 6
6.
    • Solve :
    • (
       
       
      x
       
       
      (
      x
      −
      5
      		)
      		)
      2
      +
      5
      (
       
       
      x
       
       
      (
      x
      −
      5
      		)
      		)
      +
       
       
      4
      = 0
  • 7
    2
    ,
    6
  • 9
    4
    ,
    5
  • 3
    2
    ,
    2
  • 3
    ,
    3
  • 5
    2
    ,
    4
Question 7
7.
    • Factorize
    • (
      x
      2
       
      +
      2
      x
      a
      +
      x
      +
      a
      2
       
      +
      a
      −
      72
      		)
      • (
        x
        +
        a
        +
        9
        		)
      • (
        x
        −
        a
        −
        8
        		)
      • (
        x
        +
        a
        −
        8
        		)
      • (
        x
        −
        a
        +
        9
        		)
      • (
        x
        +
        a
        +
        9
        		)
      • (
        x
        +
        a
        −
        8
        		)
      • (
        x
        −
        a
        −
        8
        		)
      • (
        x
        +
        a
        −
        9
        		)
      • (
        x
        −
        a
        +
        9
        		)
      • (
        x
        +
        a
        +
        8
        		)
Question 8
8.
    • Find the roots of the quadratic equation
    • (
      18
      x
      2
       
      −
      7
      x
      −
      1
      		)
      =
      0
  • (
    1
    2
    ,
    (
    -1
    9
    		 )
    )
  • (
    3
    2
    ,
    (
    -1
    3
    		 )
    )
  • (
    3
    2
    ,
    (
    -1
    7
    		 )
    )
  • (
    1
    4
    ,
    (
    -1
    7
    		 )
    )
  • (
    1
    4
    ,
    (
    -1
    9
    		 )
    )
Question 9
9.
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 684 . Find the number
  • 35
  • 57
  • 68
  • 46
  • 79
Question 10
10.
    • Solve :
    •  
       
      9
      x
      2
      		  +  
       
       
      3
      a
      x
      		  +  
       
       
      3
      x
      		  +  
       
       
      a
    • = 0
  • −
     
     
    a
     
     
    5
    ,
    −
     
     
    1
     
     
    5
  • −
     
     
    a
     
     
    3
    ,
    −
     
     
    1
     
     
    3
  •  
     
    a
     
     
    3
    ,
     
     
    1
     
     
    3
  • −
     
     
    a
    ,
    −
     
     
    1