TS EAMCET · Maths · Hyperbola
The point of intersection of two tangents drawn to the hyperbola \(\frac{x^2}{a^2}-\frac{y^2}{4}=1\) lie on the circle \(x^2+y^2=5\). If these tangents are perpendicular to each other, then \(a=\)
- A 25
- B 5
- C 9
- D 3
Answer & Solution
Correct Answer
(D) 3
Step-by-step Solution
Detailed explanation
If two tangents are perpendicular then they intersect on director circle. \(x^2+y^2=a^2-4 \Rightarrow a^2-4=5 \Rightarrow a=3 .\)
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