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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^2(A/2)dot` If `a ,b and c ,` 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 od straight lines

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The correct Answer is:
B, C
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