Question

The area of the triangle formed by the co-ordinate axes and a tangent to the curve $xy = a^2$ at the point $(x_1, y_1)$ is ______ sq. units (where $a, x_1$ and $y_1$ are non-zero)

• A. $\frac{a^2 x_1}{y_1}$
• B. $\frac{a^2 y_1}{x_1}$
• C. $2a^2$
• D. $4a^2$

Hint:

For any rectangular hyperbola $xy = c$, the area of the triangle formed by the tangent and axes is always $2c$.

Answer 1

The Correct Option is C