MHT CET 2025 Mathematics question

Not in JEE syllabus

With usual notations, the perimeter of a triangle ABC is 6 times the arithmetic mean of sine of its angles. If a = 1, then

Answer: (A)

Solution

Perimeter ; arithmetic mean of the sines is . So . By the sine rule etc., so . Comparing: , so . Then \sin$

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Question ID VK-101849