Let \( p \) and \( q \) be two positive number such that \( p+q=2 \) and \( p^{4}+q^{4}=272 \). ...

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Let \( p \) and \( q \) be two positive number such that \( p+q=2 \) and \( p^{4}+q^{4}=272 \). Then \( p \) and \( q \) are roots of the equation:
(W)
(a) \( x^{2}-2 x+2=0 \)
[JEE Main-2021 (February)]
(b) \( x^{2}-2 x+8=0 \)
(c) \( x^{2}-2 x+136=0 \)
(d) \( x^{2}-2 x+16=0 \)
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