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IPMAT Indore 2025 · Question 37 of 90 · Quantitative Ability (MCQ)

IPMAT Indore 2025 — Question 37

In triangle $A B C$ , $A B = A C = x$ , $∠ A B C = θ$ and the circumradius is equal to $y$ . Then $x / y$ equals

A $2 cos θ$
B $2 sin θ$
C $sin θ$
D $cos θ$

Reveal answer

Correct answer

A.

2 cos θ

Reveal solution

Since $A B = A C$ , the triangle is isoceles with $∠ B = ∠ C = θ$ , so $∠ A = 180° - 2 θ$ . Using law of sines: $B C / sin A = 2 y$ , and other relations give $x / y = 2 cos θ$ .

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