A square is formed by the points (4, 5), (12, 5), (12, -3), and (4, -3). The diagonals of the square intersect at which of the following points ?

Prove that the points (4, 3), (6, 4), (5, 6) and (3, 5) are the vertices of a square.

Prove that the points (4, 3), (6, 4), (5, 6) and (3, 5) are the vertices of a square.

Prove that the point (4, 3), (6, 4), (5, 6) and (3, 5) asre the vertices of a square.

Prove that the point (4, 3), (6, 4), (5, 6) and (3, 5) asre the vertices of a square.

Prove that the four points (4,3),(6,4),(5,6) and (3,5) are the vertices of a square.

Prove that (4,\ 3),\ (6,\ 4),\ (5,\ 6) and (3,\ 5) are the angular points of a square.

Prove that (4,3),(6,4),(5,6) and (3,5) are the angular points of a square.

A point moves such that the area of the triangle formed by it with the points (1,5) and (3,-7) is 21 square unit, then the locus of the moving point is-