JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

If the ratio of AM between two positive real numbers

a

and

b

to their HM is

m:n,

then

a:b

is equal to

View answer and explanation

Correct option: C

\frac{{\sqrt m + \sqrt {m - n} }}{{\sqrt m - \sqrt {m - n} }}

Option C (

\frac{{\sqrt m + \sqrt {m - n} }}{{\sqrt m - \sqrt {m - n} }}

) is correct because it is derived by solving for the two numbers a and b using the given ratio of AM to HM.

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