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)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.

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 area of the triangle whose vertices are A(3,-1,2),\ B(1,-1,-3)a n d\ C(4,-3,1)dot

Find the area of a triangle whose vertices are (1,\ -1),\ (-4,\ 6)\ a n d\ (-3,\ -5)dot

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

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

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

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

Show that the points A(2, 1), B(0,3), C(-2, 1) and D(0, -1) are the vertices of a square.

The vertices of a triangle are A(1,1),\ B(4,5)a n d\ C(6, 13)dot Find Cos\ Adot