The vertices of `Delta`ABC lie on a rectangular hyperbola such that the orthocenter of the triangle is (3, 2) and the asymptotes of the rectangular hyperbola are parallel to the coordinate axes. The two perpendicular tangents of the hyperbola intersect at the point (1, 1).
The equation of the pair of asymptotes is

Options

A. `xy-1=x-y`
B. `xy+1=x+y`
C. `2xy=x+y`
D. none of these

Answer

B

Explanation

Perpendicular tangents intersect at the center of rectangular hyperbola. Hence, the center of the hyperbola is (1,1) and the equations of asymptotes are x - 1 = 0 and y - 1 = 0.