ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Quadratic Equations
Question 1
1.
    • Find the quadratic equation, the sum of whose roots is
    • 30
      7
    • and product is
    • (
      -25
      7
      		 )
  • (
    8
    x
    2
     
    −
    30
    x
    −
    25
    		)
    =
    0
  • (
    7
    x
    2
     
    −
    33
    x
    −
    25
    		)
    =
    0
  • (
    6
    x
    2
     
    −
    30
    x
    −
    25
    		)
    =
    0
  • (
    7
    x
    2
     
    −
    30
    x
    −
    25
    		)
    =
    0
  • (
    7
    x
    2
     
    −
    28
    x
    −
    25
    		)
    =
    0
Question 2
2.
    • Solve :
    •  
       
      √
      (
      3
      x
      +
      7
      		)
      		 = 
       
       
      (
      x
      +
      1
      		)
  • 3

    √

    2
    ,
    (
    −
    2

    √

    2
    )
  • 3

    √

    5
    ,
    (
    −
    2

    √

    5
    )
  • 3

    √

    4
    ,
    (
    −
    2

    √

    4
    )
  • 3

    √

    3
    ,
    (
    −
    2

    √

    3
    )
  • 3
    ,
    (
    −
    2
    )
Question 3
3.
    • The product of the roots of the quadratic equation
    • (
      x
      2
       
      −
      9
      x
      		)
      =
      0
    • is
  • 2
  • -2
  • 0
  • 1
  • -1
Question 4
4.
    • Find the discriminant of the quadratic equation
    • (
      x
      2
       
      +
      8
      		)
      =
      0
  • -33
  • -32
  • -34
  • -31
  • -29
Question 5
5.
    • The sum of the roots of the quadratic equation
    • (
      x
      2
       
      +
      6
      x
      +
      8
      		)
      =
      0
    • is
  • -8
  • -7
  • -4
  • -6
  • -5
Question 6
6.
    • The sum of the roots of the quadratic equation
    • (
      48
      x
      2
       
      −
      40
      x
      −
      32
      		)
      =
      0
    • is
  • 5
    6
  • 1
    2
  • 5
    8
  • 7
    6
  • 5
    4
Question 7
7.
    • Find the roots of the quadratic equation
    • (
      x
      2
       
      +
      3
      x
      +
      2
      		)
      =
      0
  • (
    -1
    ,
    -2
    )
  • (
    0
    ,
    -3
    )
  • (
    1
    ,
    -4
    )
  • (
    1
    ,
    -3
    )
  • (
    0
    ,
    -2
    )
Question 8
8.
    • Find the roots of the quadratic equation
    • (
      −
      6
      x
      2
       
      +
      8
      x
      −
      1
      		)
      =
      0
  • (
    (
    2
    3
    −
    1
    6
    4
    √

    10
    )
    ,
    (
    2
    3
    +
    1
    6

    √

    10
    )
    )
  • (
    (
    4
    3
    −
    1
    6

    √

    10
    )
    ,
    (
    0
    +
    1
    6

    √

    10
    )
    )
  • (
    (
    4
    3
    −
    1
    6

    √

    10
    )
    ,
    (
    2
    3
    +
    5
    3
    )
    )
  • (
    (
    2
    3
    −
    1
    6

    √

    10
    )
    ,
    (
    2
    3
    +
    1
    6

    √

    10
    )
    )
  • (
    (
    2
    3
    −
    1
    6
    4
    √

    10
    )
    ,
    (
    2
    3
    +
    5
    3
    )
    )
Question 9
9.
    • Find the roots of the quadratic equation correct to two decimal places
    • (
      36
      x
      2
       
      −
      6
      x
      −
      12
      		)
      =
      0
  • 2.67 , 1.50
  • 1.67 , 0.50
  • 8.67 , 7.50
  • 7.67 , 6.50
  • 0.67 , -0.50
Question 10
10.
    • Solve :
    •  
       
      21
      x
      2
      		  +  
       
       
      3
      a
      x
      		  −  
       
       
      14
      x
      		  −  
       
       
      2
      a
    • = 0
  • −
     
     
    a
     
     
    7
    ,
     
     
    2
     
     
    3
  • −
     
     
    3
    a
     
     
    7
    ,
    0
  •  
     
    a
     
     
    7
    ,
     
     
    4
     
     
    3
  • −
     
     
    a
     
     
    5
    ,
     
     
    2
  • −
     
     
    a
     
     
    9
    ,
     
     
    2
     
     
    5