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A triangle A B C with fixed base B C , t...

A triangle `A B C` with fixed base `B C` , the vertex `A` moves such that `cosB+cosC=4sin^2A/2dot` If `a ,ba n dc ,` denote the length of the sides of the triangle opposite to the angles `A , B ,a n dC` , respectively, then (a)`b+c=4a` (b) `b+c=2a` (c)the locus of point `A` is an ellipse (d)the locus of point `A` is a pair of straight lines

A

b+c = 4a

B

b+c = 2a

C

Locus of point A is an ellipse

D

Locus of point A is a pair of straight line

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B, C
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