If a,b,c are in GP and a,p,q are in AP such that 2a, b+p, c+q are in GP then the common difference of the AP is

JEE Advanced Mathematics question

If are in GP and are in AP such that are in GP then the common difference of the AP is

Answer: (B),(D)

Let the common difference be : , ; and . The GP condition gives

(a+b+=2ac++4ad.

Expand the left: . Replace by and simplify:

+2(b-a)d-(a-=0\

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Question ID VK-107886