JEE MATHEMATICS MCQ: MAXIMA & MINIMA

1 Hard

1 of 1

Analyzing +4 | -1

A wire of length

20 \mathrm{m}

to be cut into two pieces. A piece of length

l_{1}

is bent to make a square of area

A_{1}

and the other piece of length

l_{2}

is made into a circle of area

A_{2}

. If

2 A_{1}+3 A_{2}

is minimum then

\left(\pi l_{1}\right): l_{2}

is equal to

View answer and explanation

Correct option: C

6: 1

Option C is correct because the ratio of π l_1 to l_2 is calculated to be 6:1 when the expression 2A_1 + 3A_2 is minimized.

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