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From the external point (3, 2) two tangents are drawn to the hyperbola x² - 9y² = 9. Find the area of the triangle formed by these two tangents and their chord of contact.
- 8/sqrt(5) sq units
- 8 sq units
- 16/sqrt(5) sq units
- 4 sq units
Correct answer: 8/sqrt(5) sq units
Solution
Using the standard result for the area between a pair of tangents and the chord of contact for a conic, substitution gives 8/sqrt(5) square units.
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