Let , and be the vertices of a triangle. Let be the region consisting of all those…

MATHEMATICS · Subjective · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Let

O(0,0)

A(2,0)

and

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

be the vertices of a triangle. Let

R

be the region consisting of all those points

P

inside

\triangle OAB

which satisfy

d(P, OA) \le \min \{d(P, OB), d(P, AB)\}

, where '

d

' denotes the distance from the point to the corresponding line. Sketch the region

R

and find its area.