Find the product xy if, x, 3/2, 6/7, y are in G.P
...Find the product xy if, x, 3/2, 6/7, y are in G.P
24/49
4/7
9/7
7/4
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)2⟹6x7=94...(i)
Also, 3y2=(67)2⟹3y2=3649...(ii)
From 6x7=94⟹x=9×76×4
x=218
Also, 3y2=3649⟹y=2×363×49
= 2449
xy=218×2449=97