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If sec alpha and "cosec" alpha are the ...

If `sec alpha and "cosec" alpha ` are the roots of `x^(2)-px+q=0` then

A

`p^(2)=q(q-2)`

B

`p^(2)=q(q+2)`

C

`p^(2)+q^(2)=2q`

D

`p^(2)+q^(2)=1`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • If tan alpha, tan beta are the roots of the equation x^(2)+px+q=0 then sin^(2) (alpha+ beta)+ p sin(alpha+ beta) (cos+beta) +q cos^(2)(alpha+ beta)=

    A
    0
    B
    1
    C
    p
    D
    q

  • "If" alpha , beta "are the roots of" x^(2) - px + q = 0 "then" alpha^(3) + beta^(3) =

    A
    `p + q^(3)`
    B
    `p - 3p^(3) q`
    C
    `p^(3) - 3pq`
    D
    `p^(2) - 3 pq`

  • If alpha, beta, gamma are the roots of x^(3) - px + q = 0 then alpha^(6) + beta^(6) + gamma^(6) =

    A
    `-2p^(3) - 3p^(3)`
    B
    `-2p^(3) + 3p^(3)`
    C
    `2p^(3) - 3p^(3)`
    D
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