A point P moves such that the sum of the slopes of the normals drawn from it to the hyperbola `xy=4` is equal to the sum of the ordinates of feet of normals. The locus of P is a curve C.
Q. The area of the equilateral triangle inscribed in the curve C having one vertex as the vertex of curve C is

Options

A. (a)`8sqrt(3)` sq. units
B. (b)`12sqrt(3)` sq. units
C. (c)`27sqrt(3)` sq. units
D. (d)`16sqrt(3)` sq. units

Answer

D