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Question

If a, b,and c are in A.P., p, q, and r are in H.P. and ap, bq, and cr are in G.P., then pr+rp is equal to


A

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B

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C

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D

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Solution

The correct option is B


pr+rp=p2+r2pr=(p+r)22prpr

=4p2r2q22prpr

=4prq22=4b2ac2

[ap,bq,cr are in A.P.b2q2=acpr]

=(a+c)2ac2[a,b,c are in A.P.2b=a+c]

ac+ca


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