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If p, q, r are in A.P. and x, y, z are in G.P., then
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1
b
2
c
-1
d
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Correct option is A
Let d be the common difference of A.P. and R (≠ 0), the common ratio of G.P., thenq=p+d,r=p+2dand y=xR,z=xR2so that q−r=−d,r−p=2d,p−q=−d∴ xq−r⋅yr−p⋅zp−q=x−d⋅(xR)2d⋅xR2−d=x−d⋅x2d⋅x−dR2d×R−2d=x−d+2d−d⋅R2d−2d=x0⋅R0=1×1=1Similar Questions
If the roots of the equation,
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