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

If `alpha and beta` are the ral roots of `x ^(2) + px +q =0 and alpha ^(4), beta ^(4) ` are the roots of `x ^(2) - rx+s =0.` Then the equation `x ^(2) -4qx+2q ^(2)-r =0` has always `(alpha ne beta, p ne 0 , p,q, r, s in R)`:

A

two real roots

B

two negative roots

C

two positive roots

D

one positive and one negative roots

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The correct Answer is:
A
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