Mathematics · 2014
JEE Main · 12 April 2014, Shift 1 · Q68
Let G be the geometric mean of two positive numbers a and b, and M be the arithmetic mean of 1/a and 1/b. If 1/M: G is 4: 5, then a: b can be:
Let G be the geometric mean of two positive numbers a and b , and M be the arithmetic mean of $\displaystyle \frac{1}{\mathrm{a}}$ and $\displaystyle \frac{1}{\mathrm{~b}}$. If $\displaystyle \frac{1}{\mathrm{M}}$ : G is $\displaystyle 4$ : $\displaystyle 5$, then a : b can be :
Official answer
(1)
$\displaystyle 1$ : $\displaystyle 4$
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.