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Find the product xy if, x, 3/2, 6/7, y are in G.P

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Find the product xy if, x, 3/2, 6/7, y are in G.P

A.

24/49

B.

4/7

C.

9/7

D.

7/4

E.

21/8

Correct answer is C

In GP, when you are given three consecutive terms, say f, g, h, then

f×h=g2

Given: x,32,67,y, then

6x7=(32)26x7=94...(i)

Also, 3y2=(67)23y2=3649...(ii)

From 6x7=94x=9×76×4

x=218

Also, 3y2=3649y=2×363×49

= 2449

xy=218×2449=97