For any point on the hyperbola $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1,$ tangents are drawn to the hyperbola $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 2$, then area cut off by the chord of contact on the region between the asymptotes is equal to

Question

Dr. Abubacker · Accepted Answer

The correct answer is Option D: $4ab$.

Q. For any point on the hyperbola $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1,$ tangents are drawn to the hyperbola $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 2$, then area cut off by the chord of contact on the region between the asymptotes is equal to

Explanation

Reviewed by Dr. Abubacker

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