CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Polynomials
Question 1
1.
    • The product of the roots of the quadratic equation
    • (
      x
      2
       
      −
      2
      x
      +
      1
      		)
      =
      0
    • is
  • 2
  • 0
  • 1
  • -1
  • 4
Question 2
2.
Which of the following are polynomials?
a)
    • (
      x
      +
      y
      		)
b)
    • x
      2
       
      +
      1
      x
      2
       
c)
    • x
      2
       
d)
    • (
      x
      +
      y
      		)
      (
      x
      −
      y
      		)
e)
    • x
      +
      1
      x
  • {d,c,a}
  • {b,a}
  • {e,b,a}
  • {a,c}
  • {d,c}
Question 3
3.
    • Find the roots of the quadratic equation
    • (
      x
      2
       
      −
      1
      		)
      =
      0
  • (
    0
    ,
    1
    )
  • (
    0
    ,
    2
    )
  • (
    2
    ,
    1
    )
  • (
    -1
    ,
    1
    )
  • no real roots
Question 4
4.
    • The quotient when
    • 2
      d
      2
       
    • is divided by
    • (
      d
      −
      3
      		)
    • is
  • (
    2
    d
    +
    6
    		)
  • 6
  • (
    3
    d
    +
    6
    		)
  • (
    4
    d
    +
    6
    		)
  • (
    d
    +
    6
    		)
Question 5
5.
    • Find the quadratic equation, the sum of whose roots is
    • (
      -17
      18
      		 )
    • and product is
    • 5
      54
  • (
    55
    x
    2
     
    +
    51
    x
    +
    5
    		)
    =
    0
  • (
    54
    x
    2
     
    +
    49
    x
    +
    5
    		)
    =
    0
  • (
    54
    x
    2
     
    +
    51
    x
    +
    5
    		)
    =
    0
  • (
    53
    x
    2
     
    +
    51
    x
    +
    5
    		)
    =
    0
  • (
    54
    x
    2
     
    +
    54
    x
    +
    5
    		)
    =
    0
Question 6
6.
    • Find the roots of the quadratic equation
    • (
      4
      x
      2
       
      −
      5
      x
      −
      5
      		)
      =
      0
  • (
    (
    7
    8
    +
    1
    8

    √

    105
    )
    ,
    (
    3
    8
    −
    1
    8

    √

    105
    )
    )
  • (
    (
    7
    8
    +
    1
    8

    √

    105
    )
    ,
    (
    5
    8
    −
    105
    8
    )
    )
  • (
    (
    5
    8
    +
    1
    8
    4
    √

    105
    )
    ,
    (
    5
    8
    −
    1
    8

    √

    105
    )
    )
  • (
    (
    5
    8
    +
    1
    8

    √

    105
    )
    ,
    (
    5
    8
    −
    1
    8

    √

    105
    )
    )
  • (
    (
    5
    8
    +
    1
    8
    4
    √

    105
    )
    ,
    (
    5
    8
    −
    105
    8
    )
    )
Question 7
7.
    • The given table of points satisfy which parabola equation?
    • x
      -3
      -2
      -1
      0
      1
      2
      3
      y
      18
      8
      2
      0
      2
      8
      18
  • y
    =
    2
    x
    2
     
  • y
    =
    0
  • y
    =
    x
    2
     
  • y
    =
    3
    x
    2
     
  • y
    =
    5
    x
    2
     
Question 8
8.
    • Given
    • f
      (
      z
      )
    • =
    • (
      −
      8
      z
      3
       
      +
      7
      z
      2
       
      −
      1
      		)
    • ,
    • find
    •  
    • f
      (
      (-3)
      )
  • 276
  • 278
  • 280
  • 277
  • 279
Question 9
9.
    • Find the table of points that satisfy
    • the parabola equation
    • y
      =
      (
      x
      2
       
      +
      10
      x
      +
      25
      		)
  • x
    -2
    -1
    1
    1
    2
    y
    9
    16
    24
    36
    49
  • x
    -2
    -1
    0
    1
    4
    y
    9
    16
    25
    36
    51
  • x
    -2
    -1
    0
    0
    2
    y
    9
    16
    25
    37
    49
  • x
    -2
    -1
    0
    1
    2
    y
    9
    16
    25
    36
    49
  • x
    -2
    -1
    -2
    1
    2
    y
    9
    16
    23
    36
    49
Question 10
10.
    • If
    • α, β, γ
    • are the roots of the cubic equation
    • (
      360
      x
      3
       
      −
      803
      x
      2
       
      +
      587
      x
      −
      140
      		)
      =
      0
    • ,
    • find
    • α + β + γ
  • (
    −
    587
    360
    )
  • (
    −
    7
    18
    )
  • 803
    360
  • 7
    18
  • (
    −
    803
    360
    )