Consider two regions
R1:points P are nearer to (1,0) than to x=−1.
R2:Points P are nearer to (0,0) than to (8,0) Find the area of the region common to R1andR2.
Let O(0,0),A(2,0),andB(1,31 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.