JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

If the arithmetic mean of two numbers

a

and

b, a>b>0

, is five times their geometric mean, then

\frac{a+b}{a-b}

is equal to :

View answer and explanation

Correct option: D

\frac{5 \sqrt{6}}{12}

The correct answer is D (

\frac{{5 \sqrt{{6}}}}{{12}}

) because it is obtained by using the arithmetic and geometric mean relationship and applying componendo and dividendo.

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\frac{3}{4}