Let O(0.0),A(6,0) and `B(3,sqrt3)` be the vertices of `triangle OAB`. Let R those points P inside `triangle OAB` which satisfy d(P, OA) minimum (d(P,OB),d(P,AB) where d(P, OA), d(P, OB) and d(P, AB) represent the distance of P from the sides OA, OB and AFB respectively. If the area of region R is `9 (a -sqrtb)` where a and b are coprime, then find the value of (a+ b)

Let O(0,0),A(2,0),a n dB(1, 1/(sqrt(3))) be the vertices of a triangle. Let R be the region consisting of all those points P inside O A B which satisfy d(P , O A)lt=min[d(P, O B),d(P,A B)] , where d denotes the distance from the point to the corresponding line. Sketch the region R and find its area.

Let O(0,0),A(2,0),a n dB(1 1/(sqrt(3))) be the vertices of a triangle. Let R be the region consisting of all those points P inside O A B which satisfy d(P , O A)lt=min[d(p ,O B),d(P ,A B)] , where d denotes the distance from the point to the corresponding line. Sketch the region R and find its area.

Let O(0,0),A(2,0),a n dB(1 1/(sqrt(3))) be the vertices of a triangle. Let R be the region consisting of all those points P inside O A B which satisfy d(P , O A)lt=min[d(p ,O B),d(P ,A B)] , where d denotes the distance from the point to the corresponding line. Sketch the region R and find its area.

Let O(0,0),A(2,0),a n dB(1 1/(sqrt(3))) be the vertices of a triangle. Let R be the region consisting of all those points P inside O A B which satisfy d(P , O A)lt=min[d(p ,O B),d(P ,A B)] , where d denotes the distance from the point to the corresponding line. Sketch the region R and find its area.

Let O(0, 0), A(2,0) and B(1,(1)/(sqrt(3))) be the vertices of a triangle. Let R be the region consisting of all those points P inside Delta OAB satisfying. d(P,OA) lr min {d(P,OB), d(P,AB)} , where d denotes the distance from the point P to the corresponding line. Let M be peak of region R. The perimeter of region R is equal to

A(3, 4),B(0,0) and c(3,0) are vertices of DeltaABC. If 'P' is the point inside the DeltaABC, such that d(P, BC)le min. {d(P, AB), d (P, AC)}. Then the maximum of d (P, BC) is.(where d(P, BC) represent distance between P and BC).

A(3, 4),B(0,0) and c(3,0) are vertices of DeltaABC. If 'P' is the point inside the DeltaABC , such that d(P, BC)le min. {d(P, AB), d (P, AC)} . Then the maximum of d (P, BC) is.(where d(P, BC) represent distance between P and BC) .

Consider a rectangle ABCD formed by the points A=(0,0), B= (6, 0), C =(6, 4) and D =(0,4), P (x, y) is a moving interior point of the rectangle, moving in such a way that d (P, AB)le min {d (P, BC), d (P, CD) and d (P, AD)} here d (P, AB), d (P, BC), d (P, CD) and d (P, AD) represent the distance of the point P from the sides AB, BC, CD and AD respectively. Area of the region representing all possible positions of the point P is equal to

Consider a rectangle ABCD formed by the points A=(0,0), B= (6, 0), C =(6, 4) and D =(0,4), P (x, y) is a moving interior point of the rectangle, moving in such a way that d (P, AB)le min {d (P, BC), d (P, CD) and d (P, AD)} here d (P, AB), d (P, BC), d (P, CD) and d (P, AD) represent the distance of the point P from the sides AB, BC, CD and AD respectively. Area of the region representing all possible positions of the point P is equal to (a) 8 sq. units (b) 4 sq. units (c) 12 sq. units (d) 6 sq. units