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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
If $H_1,H_2,\ldots,H_n$ are $n$ harmonic means between $a$ and $b$, $a\ne b$, then the value of
$\dfrac{H_1+a}{H_1-a}+\dfrac{H_n+b}{H_n-b}$
is equal to
Solution
If $H_1,\ldots,H_n$ are $n$ H.M.s between $a$ and $b$, then $\dfrac1a,\dfrac1{H_1},\ldots,\dfrac1{H_n},\dfrac1b$ are in A.P. Using end-term properties and simplification, the expression evaluates to $2n$Online Test Series, Information About Examination,
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