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If a point P moves inside a equilateral triangle of side length a such that it is nearer to any angular bisector of the triangle than to any of its sides, then (A) area of figure traced by P is `sqrt(3a^2)/2 ((sqrt3-1)/(sqrt3+1))`

A

area of figure traced by P is `(sqrt3a^(2))/(2)((sqrt3-1)/(sqrt3+1))`

B

area of figure traced by P is `(sqrt3a^(2))/(4)((sqrt3-1)/(sqrt3+1))`

C

figure is convex hexagon

D

figure is concave hexagon

Text Solution

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The correct Answer is:
A,D
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