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Question 18
CAT 2023
Slot 2
QA
Q 18 / 22
Q18
CAT 2023 Slot 2 QA
A triangle is drawn with its vertices on the circle
C
C
C
such that one of its sides is a diameter of
C
C
C
and the other two sides have their lengths in the ratio of
a
:
b
a : b
a
:
b
. If the radius of the circle is
r
r
r
, then the area of the triangle is
1
a
b
r
2
2
(
a
2
+
b
2
)
\dfrac{abr^{2}}{2(a^{2} + b^{2})}
2
(
a
2
+
b
2
)
ab
r
2
2
2
a
b
r
2
a
2
+
b
2
\dfrac{2abr^{2}}{a^{2} + b^{2}}
a
2
+
b
2
2
ab
r
2
3
a
b
r
2
a
2
+
b
2
\dfrac{abr^{2}}{a^{2} + b^{2}}
a
2
+
b
2
ab
r
2
4
4
a
b
r
2
a
2
+
b
2
\dfrac{4abr^{2}}{a^{2} + b^{2}}
a
2
+
b
2
4
ab
r
2
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CAT 2023 Slot 2 QA Q18 — A triangle is drawn with its vertices on the circle $C$ such that one of its sides is a diameter of | Mockat | Mockat
