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MHT CET 2023 Mathematics question

MathematicsSolution of TrianglesMHT CET 2023

Not in JEE syllabus

In a triangle, the sum of lengths of two sides is x and the product of the lengths of the same two sides is y. If , where c is the length of the third side of the triangle, then the circumradius of the triangle is

Answer: (B)

Solution

Let the two sides be and , so and . Then gives . By the cosine rule, , so . By the sine rule, the circumradius is \frac{c}Extra open brace or missing close brace{2\sin$

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Question ID VK-097495