If two positive real numbers and have equal arithmetic mean and geometric mean

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

Problem

If two positive real numbers

a

and

b

have equal arithmetic mean and geometric mean, which of the following must be true? (a)

a>b

(b)

ab=1

(c)

a=b

(d)

a+b=1