sandy wrote:

In the figure above, ABCE is a square. What are the coordinates of point B?
(A) (-4,2)
(B) (-2,4)
(C) (-2,6)
(D) (4, -6)
(E) (6,-2)
Here the distance between the two coordinates (-6,0) and (0,-4) is given by
=
√(−6−0)2+(0+4)2 =
√52Since the figure is a square all the distance between the each coordinates =
√52Let the co-ordinate of B = (x,y)
Now the distance between the coordinate (-6, 0) and (x, y) =
√52or
√(x+6)2+(y−0)2 =
√52Now looking at the values only the above equation satisfy only when x= -2 and y= 6.
Hence the co-ordinate of B is (-2,6)