Class 12

Math

Calculus

Area

Let $O(0,0),A(2,0),andB(1,3 1 $ be the vertices of a triangle. Let R be the region consisting of all theose points P inside $ΔOAB$ which satisfy $d(P,OA)≤min[d(P,AB)],$ where d denotes the distance from the point to the corresponding line. Sketch the region R and find its area.