If \( a, b, c \) are in GP and \( a, p, q \) are in AP such that \(...

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If \( a, b, c \) are in GP and \( a, p, q \) are in AP such that \( 2 a, b+p, c+q \) are in GP then the common
\( \mathrm{P} \) difference of the AP is

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(a) \( \sqrt{2} a \)
(b) \( (\sqrt{2}+1)(a-b) \)
(c) \( \sqrt{2}(a+b) \)
(d) \( (\sqrt{2}-1)(b-a) \)
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