CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Quadratic Equations
Question 1
1.
    • The sum of the numerator and denominator of a fraction is
    • 29
    • .
    • If
    • 7
    • is added to both the numerator and denominator,
    • the fraction is increased by
    • 119
      690
    • . Find the fraction
  • 8
    23
  • 6
    23
  • 23
    6
  • 2
    7
  • 4
    23
Question 2
2.
    • Solve :
    •  
       
      9
      x
      2
      b
      2
      		  +  
       
       
      6
      x
      b
      		  +  
       
       
      1
    • = 0
  • −
     
     
    1
     
     
    b
    ,
    −
     
     
    2
     
     
    3
    b
  • −
     
     
    1
     
     
    b
    ,
    −
     
     
    1
     
     
    2
    b
  • −
     
     
    1
     
     
    3
    b
    ,
    −
     
     
    1
     
     
    3
    b
  • −
     
     
    1
     
     
    5
    b
    ,
    −
     
     
    1
     
     
    4
    b
  •  
     
    1
     
     
    3
    b
    ,
    0
Question 3
3.
    • If
    • p
    • and
    • q
    • are the roots of
    • (
      x
      2
       
      +
      6
      x
      −
      27
      		)
      =
      0
    • ,
    • find the equation whose roots are
    •  
       
      p
      		  +  
       
       
      1
       
       
      q
    • and
    •  
       
      q
      		  +  
       
       
      1
       
       
      p
  • (
    45
    x
    2
     
    +
    248
    x
    −
    1092
    		)
    =
    0
  • (
    21
    x
    2
     
    +
    116
    x
    −
    572
    		)
    =
    0
  • (
    9
    x
    2
     
    +
    54
    x
    −
    208
    		)
    =
    0
  • (
    27
    x
    2
     
    +
    156
    x
    −
    676
    		)
    =
    0
  • (
    9
    x
    2
     
    +
    46
    x
    −
    208
    		)
    =
    0
Question 4
4.
    • The product of the roots of the quadratic equation
    • (
      x
      2
       
      +
      14
      x
      +
      45
      		)
      =
      0
    • is
  • 46
  • 47
  • 43
  • 44
  • 45
Question 5
5.
Twice the square of a number exceeds 2 times the number by 544. Find the number
  • 16
  • 20
  • 17
  • 14
  • 18
Question 6
6.
    • 46 is divided into two parts such that the sum of their reciprocals is
    • 46
      493
    • .
    • Find the two parts
  • (
    27
    ,
    19
    )
  • (
    30
    ,
    16
    )
  • (
    29
    ,
    17
    )
  • (
    28
    ,
    18
    )
  • (
    31
    ,
    15
    )
Question 7
7.
    • Solve :
    •  
       
      42
      x
      2
      		  +  
       
       
      31
      a
      b
      x
      		  +  
       
       
      4
      a
      2
      b
      2
    • = 0
  • −
     
     
    a
    b
     
     
    2
    ,
    −
     
     
    6
    a
    b
     
     
    7
  •  
     
    a
    b
     
     
    6
    ,
    −
     
     
    2
    a
    b
     
     
    7
  • −
     
     
    a
    b
     
     
    4
    ,
    −
     
     
    4
    a
    b
     
     
    5
  • −
     
     
    a
    b
     
     
    8
    ,
    −
     
     
    4
    a
    b
     
     
    9
  • −
     
     
    a
    b
     
     
    6
    ,
    −
     
     
    4
    a
    b
     
     
    7
Question 8
8.
    • Solve :
    • (
      2
      x
      +
      9
      		)
      (
      x
      +
      2
      		)
    • =
    • (
      x
      +
      1
      		)
      (
      x
      −
      7
      		)
  • (
    13
    ,
    -5
    )
  • (
    15
    ,
    -3
    )
  • (
    12
    ,
    -6
    )
  • (
    11
    ,
    -7
    )
  • (
    -13
    ,
    5
    )
Question 9
9.
    • Find the roots of the quadratic equation
    • (
      x
      2
       
      −
      17
      x
      +
      72
      		)
      =
      0
  • (
    10
    ,
    7
    )
  • (
    11
    ,
    6
    )
  • (
    10
    ,
    8
    )
  • (
    9
    ,
    8
    )
  • (
    11
    ,
    7
    )
Question 10
10.
    • Solve :
    •  
       
      28
      x
      2
      		  +  
       
       
      16
      x
      		  +  
       
       
      7
      x
      b
      		  +  
       
       
      4
      b
    • = 0
  • −
     
     
    6
     
     
    7
    ,
    −
     
     
    3
    b
     
     
    4
  • −
     
     
    4
     
     
    9
    ,
    −
     
     
    b
     
     
    6
  • −
     
     
    2
     
     
    7
    ,
     
     
    b
     
     
    4
  • −
     
     
    4
     
     
    7
    ,
    −
     
     
    b
     
     
    4
  • −
     
     
    4
     
     
    5
    ,
    −
     
     
    b
     
     
    2