The normal to the graph of at the point where intersects the -axis at the point and…

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

The normal to the graph of

y = 4 \sin^{-1} \left( \frac{x}{2} \right)

at the point where

x = 1.5

intersects the

x

-axis at the point

A

and the

y

-axis at the point

B

. Find the area of triangle

AOB

, where

O

is the origin.