The arithmetic mean of two positive numbers and equals their geometric mean if and only if

MATHEMATICS · Single correct · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

The arithmetic mean of two positive numbers

p

and

q

equals their geometric mean if and only if (a)

p+q = 2pq

(b)

p = 2q

(c)

p = q

(d)

p^{2}+q^{2}=pq