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If alpha and beta are the roots of the ...

If `alpha and beta ` are the roots of the equation `x^(2) - p(x + 1) - q = 0` , then the value of :
`(alpha^(2) + 2 alpha + 1)/(alpha^(2)+ 2 alpha + q) + (beta^(2) + 2 beta + 1)/(beta^(2) + 2 beta + q)` is :

A

2

B

3

C

0

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • If alpha and beta are roots of the equation x^(2) + x + 1 = 0, then alpha^(2) + beta^(2) is

    A
    1
    B
    `(-1-isqrt3)/(2)`
    C
    `(-1+isqrt3)/(2)`
    D
    `-1`

  • If alpha , beta are the roots of the equation : x^(2) + x sqrt(alpha) + beta = 0 , then the values of alpha and beta are :

    A
    `alpha = 2 and beta = - 2 `
    B
    `alpha = 2 and beta = 1 `
    C
    `alpha = 1 and beta = -2`
    D
    `alpha = 1 and beta= - 1 `.

  • If alpha and beta are the root of the equation x^(2)-x+1=0 then alpha^(2009)+beta^(2009)=

    A
    `-2`
    B
    `-1`
    C
    `1`
    D
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