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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 `b+c=4a` (b) `b+c=2a` the locus of point `A` is an ellipse 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 poir of straight lines

Text Solution

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The correct Answer is:
B, C
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