JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

In a circle of radius

r

, an isosceles

\Delta A B C

is inscribed with

A B=A C

. If

\Delta A B C

has perimeter

p=2\left[\sqrt{2 h r-h^2}+\sqrt{2 h r}\right]

and area

A=h \sqrt{2 h r-h^2}

, where

h

is the altitude from

A

B C

, then

\lim \limits_{h \rightarrow 0^{+}} \frac{A}{p^3}

View answer and explanation

Correct option: B

\frac{1}{128 r}

The correct answer is B (1/128r) because by simplifying the expression and evaluating the limit as h approaches 0, the result is 1/(128r).

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