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