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In a triangle ABC with fixed base BC, th...

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

A

`b+c=4a`

B

`b+c=2 a`

C

locus of point A is an ellipse

D

locus of point A is a pair of straight lines

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The correct Answer is:
B, C
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