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If $a^{2} + b^{2}, ab + bc and b^{2} + c^{2}$ are in G.P., then a, b, c are in

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Correct option is B

a2+b2,ab+bc,b2+c2 are in G.P. ⇒ (ab+bc)2=a2+b2b2+c2 or a2b2+b2c2+2ab2c=a2b2+a2c2+b2c2+b4 or b4+a2c2−2ab2c=0 or b2−ac2=0 or b2=acHence, a, b, and c are in G.P.

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If a2+b2,ab+bc and b2+c2 are in G.P., then a, b, c are in

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If $a^{2} + b^{2}, ab + bc and b^{2} + c^{2}$ are in G.P., then a, b, c are in