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CAT 2023 Geometry & Mensuration — Previous Year Question

Year

CAT 2023

Section

Quantitative

Topic

Geometry & Mensuration

Difficulty

Hard

Question

Slot-2

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

abr22(a2+b2)\frac{a b r^2}{2\left(a^2 + b^2\right)}

abr2a2+b2\frac{a b r^2}{a^2 + b^2}

4abr2a2+b2\frac{4 a b r^2}{a^2 + b^2}

2abr2a2+b2\frac{2 a b r^2}{a^2 + b^2}

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