If $xy = {c^2}$, then minimum value of $ax + by$ is

JEE MATHEMATICS MCQ: MAXIMA & MINIMA

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Application +4 | -1

xy = {c^2}

, then minimum value of

ax + by

View answer and explanation

Correct option: B

2c\sqrt {ab}

Option B (

2c\sqrt {ab}

) is correct because it is the minimum value of

ax + by

subject to the constraint

xy = c^2

, found using calculus or AM-GM inequality.

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