Question

If x, y, z are in GP, and xyz = 27/8. The value of y is
(a) 3/2
(b) 2/3
(c) 2/5
(d) none of these​

Answer 1

Answer:

answer is 3/2 .........

Answer 2

Answer:-

Given:

x , y , z are in GP.

xyz = 27/8

⟹ y = (27/8)/xz -- equation (1).

We know that,

if a , b , c are in GP , then b² = ac.

Hence,

⟹ y² = xz

Substitute the value xz in equation (1).

⟹ y = [ 27/8 ] / y²

⟹ y² * y = 27/8

⟹ y³ = (3/2)³

[ Powers are equal, So bases are also equal ]

⟹ y = 3/2

∴ The value of y is 3/2.