Question

If a, b, c are in A.P. and a², b², c² are in G.P. If a < b < c and a + b + c = 3/2, then the value of a is

(a) \(\frac1{2\sqrt2}\)

(b) \(\frac1{2\sqrt3}\)

(c) \(\frac 12-\frac1{\sqrt3}\)

(d) \(\frac 12-\frac1{\sqrt2}\)

Answer 1

Correct option is (d) \(\frac 12-\frac1{\sqrt2}\)