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 the region S.

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.

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

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

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

Prove that the points (2, -1), (4, 1), (2, 3) and (0, 1) are the vertices of a square.

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

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.

Show that the points A (5, 6), B(1,5), C(2, 1) and D(6, 2) are the vertices of a square ABCD.