In a triangle ABC with fixed base BC, the vertex A moves such that cos B + cos C = 4sin^2 A/2. If a, b and c denote the lengths of the sides of the triangle opposite to the angles A, B and C, respectively, then [JEE Adv 2009 P1]

locus of point A is a pair of straight lines

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Question : 22 of 25

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In a triangle ABC with fixed base BC, the vertex A moves such that cos B + cos C = 4sin2

. If a, b and c denote the lengths of the sides of the triangle opposite to the angles A, B and C, respectively, then

[JEE Adv 2009 P1]

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