If \( \alpha \) and \( \beta \) are the roots of \( x^{2}+p x+q=0 \) and \( \alpha^{4}, \beta^{4...

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If \( \alpha \) and \( \beta \) are the roots of \( x^{2}+p x+q=0 \) and \( \alpha^{4}, \beta^{4} \) are the roots of \( x^{2}-r x+s=0 \), then equation \( x^{2}-4 q x+2 q^{2}-r=0 \) has always
(a) two real roots
(b) two positive roots
(c) two negative roots
(d) one positive and one negative roots
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