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  4. If *is a binary operation defined by a * b=(a/b)+(b/a)+(1/a b) for positive integers a and b then 2 * 5 is equal to

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Q. If *is a binary operation defined by $a * b=\frac{a}{b}+\frac{b}{a}+\frac{1}{a b}$ for positive integers $a$ and $b$ then $2 * 5$ is equal to

KEAMKEAM 2020

Solution:

$2 * 5 \frac{2}{5}+\frac{5}{2}+\frac{1}{10}$
$=\frac{4+25+1}{10}=3$