xy=c^(2)

A right angle triangle ABC, right angle at A is inscribed in hyperbola xy=c^(2) (c>0) such that slope of BC is 2. If distance of point A from centre of xy=c^(2) is sqrt(10) ,then which of the following is/are correct for xy=c^(2) (A) the value of c is 2 (B) the value of c is 4 (C) the equation of normal at point A can be y = 2x − 3sqrt(2) (D) the equation of normal at point A can be y = 3x + 8sqrt(2)

The length of a rectangle is y xx its breadth x .The area of the rectangle is: xy(b)xy^(2)(c)x^(2)y(d) None of these