Question

If a, b, c are in GP then b² =​

Answer 1

Answer:

As given : a, b, c are in G.P.

⇒b2=ac

The given expression :

1a2−b2+1b2

=1a2−ac+1ac

[using b2=ac]

=1a(a−c)+1ac=c+a−cac(a−c)

=aac(a−c)=1ac−c2=1b2−c2 [using ac=b2]