JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

Let

\mathrm{G}

be the geometric mean of two positive numbers a and

\mathrm{b}

, and

\mathrm{M}

be the arithmetic mean of

\frac{1}{\mathrm{a}}

and

\frac{1}{\mathrm{b}}

. If

\frac{1}{\mathrm{M}}: \mathrm{G}

4: 5

, then

a: b

can be:

View answer and explanation

Correct option: A

1: 4

Option A (1:4) is correct because it satisfies the given condition

\frac{1}{M}: G = 4:5

after simplifying the geometric and arithmetic means.

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