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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 = 4sin 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+c4a`

B

`b+c=2a`

C

locus of point A is an ellipse.

D

locus of point A is a pair of straight lines

Text Solution

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The correct Answer is:
B, C
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