Question

The area of the triangle formed by the coordinate axes and a tangent to the curve xy = a2 at the point (x1, y1) on it is

(A) a2x1/y1

(B) a2y1/x1

(C) 2a2

(D) 4a2

Answer 1

Answer is (C) 2a2

We have

y = a2/x

Therefore,

or x = 2x1

Therefore, the point on x-axis is (2x1, 0). Now, the tangent meets y-axis where x = 0. Since