JEE Advanced Mathematics question

MathematicsSolution of TrianglesJEE Advanced

Not in JEE syllabus

Let be a triangle such that and let denote the lengths of the sides opposite to respectively. The value(s) of for which , and is (are)

Answer: (B)

Solution

By the cosine rule, . Note

- = (a - c)(a + c) = - + 3x + 2) = x(x-1)(x+1)(x+2) = x(x+2) b.

So , i.e.

+ x + 1)

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Question ID VK-110763