CAT 2023 Slot 2 QA · Question 18

A triangle is drawn with its vertices on the circle $C$ such that one of its sides is a diameter of $C$ and the other two sides have their lengths in the ratio $a : b$ . If the radius of the circle is $r$ , then the area of the triangle is

A.
$\frac{ab r ^{2}}{2 ( a ^{2} + b ^{2} )}$
B.
$\frac{ab r ^{2}}{a ^{2} + b ^{2}}$
C.
$\frac{4 ab r ^{2}}{a ^{2} + b ^{2}}$
D.
$\frac{2 ab r ^{2}}{a ^{2} + b ^{2}}$

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