A point moves inside a triangle formed by ,

MATHEMATICS · Single correct · ICSE · Mathematics · Geometry · Geometry

Problem

A point

P

moves inside a triangle formed by

A(0,0)

B\left(1, \frac{1}{\sqrt{3}}\right)

C(2,0)

such that

\min\{PA, PB, PC\} = 1

, then the area bounded by the curve traced by

P

, is (1)

3\sqrt{3} - \frac{3\pi}{2}

(2)

\sqrt{3} + \frac{\pi}{2}

(3)

\sqrt{3} - \frac{\pi}{2}

(4)

3\sqrt{3} + \frac{3\pi}{2}