A wire of length 20 m is to be cut into two pieces. A piece of le… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 31 January, Shift 1Applications of Derivatives (Monotonicity, Extrema)

A wire of length $20 \, \text{m}$ is to be cut into two pieces. A piece of length $\ell_1$ is bent to make a square of area $A_1$ , and the other piece of length $\ell_2$ is made into a circle of area $A_2$ . If $2A_1 + 3A_2$ is minimum, then $\frac{\ell_1}{\ell_2}$ is equal to:

A
$6 : \pi$
B
$3 : 1$
C
$1 : 6$
D
$4 : 1$

Answer & step-by-step solution

Practice more Applications of Derivatives (Monotonicity, Extrema) questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Applications of Derivatives (Monotonicity, Extrema)

Answer & step-by-step solution

Practice more Applications of Derivatives (Monotonicity, Extrema) questions

Related questions