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If the roots of the quadratic equation `x^2 +px + q = 0` are `tan 30^@` and `tan 15^@` respectively then the value of `2+q-p` is

A

`1+p`

B

`1-p`

C

`1-2p`

D

`1+2p`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • If the roots of the equation x^(2)+px-q=0 are tan 30^(@) and tan 15^(@) , then the value of 2+q-p is

    A
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    B
    1
    C
    2
    D
    3

  • If p and q are the roots of the equation x+ px + q= 0 , then

    A
    `p=1 and q= -2`
    B
    `p= 0 and q= 1`
    C
    `p = -2 and q= 0`
    D
    `p = -2 and q= 1`

  • The roots of the equation x^(2)+px+q=0 are tan 22^(@) and tan 23^(@) then

    A
    `p+q=1`
    B
    `p+q=-1`
    C
    `p-q=1`
    D
    `p-q=-1`

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