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Question

If p, q be two A.M.'s and G be one G.M. between two numbers, then G2 =
(a) (2p q) (p − 2q)
(b) (2pq) (2qp)
(c) (2pq) (p + 2q)
(d) none of these


Solution

(a) (2p q) (p − 2q)

Let the two numbers be a and b.a, p, q and b are in A.P. p-a=q-p=b-q                    p-a=q-p  and  q-p=b-qa=2p-q  and  b= 2q-p        (i)Also, a, G and b are in G.P. G2=abG2=2p-q2q-p

Mathematics
RD Sharma XI (2015)
Standard XI

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