AP EAMCET · Maths · Parabola
Tangents are drawn to the hyperbola \(x^2-9 y^2=9\) from point \((3,2)\). Then, the area of the triangle formed by the tangents and the chord of contact is ____ sq units.
- A 10
- B 6
- C 12
- D 8
Answer & Solution
Correct Answer
(D) 8
Step-by-step Solution
Detailed explanation
Given hyperbola \(\frac{x^2}{9}-\frac{y^2}{1}=1\) So, \(y=m x \pm \sqrt{9 m^2-1}\) represent tangents which passes through \((3,2)\) \(\Rightarrow \quad m=\frac{5}{12}\) \(\therefore\) Tangents are \(12 y=5 x+9 \text { and } x=3\) Chord of contact will be…
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