Consider a square with vertices at `(1,1)(-1,1)(-1,-1)and(1,-1).` Let S be the region consisting of all points inside the square which are nearer to the origin than to any edge. Sketch the region S and find its area.

Consider a square with vertices at (1,1),(-1,1),(-1,-1),a n d(1,-1)dot Set S be the region consisting of all points inside the square which are nearer to the origin than to any edge. Sketch the region S and find its area.

Consider a square with vertices at (1,1),(-1,1),(-1,-1),a n d(1,-1)dot Set S be the region consisting of all points inside the square which are nearer to the origin than to any edge. Sketch the region S and find its area.

Sketch the region bounded by the curves y=sqrt(5-x^2) and y=|x-1| 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.

Find the square of : a + (1)/( 5a)

Find the square of : 2a - (1)/( a)

Show that the points (-2,4,1),(-1,5,5),(2,2,5) and (1,1,1) are the vertices of a square.

The area of the region bounded by the curve y = |x - 1| and y = 1 is:

Sketch the region bounded by the curves y=x^2a n dy=2/(1+x^2) . Find the area.

Show that the points (1, 7), (4, 2), (-1, -1) a n d ( -4, 4) are the vertices of a square.