In a triangle ABC with... | JEE Advanced 2009 | Trigonometry

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JEE Advance 2009

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Question

In a triangle $A B C$ with fixed base $B C$, the vertex $A$ moves such that $\cos B+\cos C=4 \sin ^2 \frac{A}{2}$. If $a, b$ and $c$ denote the lengths of the sides of the triangle opposite to the angles $\mathrm{A}, \mathrm{B}$ and C , respectively, then

Select ALL correct options:

A

$\mathrm{b}+\mathrm{c}=4 \mathrm{a}$

B

$b+c=2 a$

C

locus of point A is an ellipse

D

locus of point A is a pair of straight lines

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

⚠ Partially correct. Some answers are missing.

Solution

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