AP EAMCET · Maths · Hyperbola
If \(\theta\) is the acute angle between the tangents drawn from the point \((2,3)\) to the hyperbola \(5 x^2-6 y^2-30=0\), then \(\tan \theta=\)
- A \(\frac{\pi}{4}\)
- B \(\frac{3}{4}\)
- C \(\frac{4}{3}\)
- D \(\frac{\pi}{2}\)
Answer & Solution
Correct Answer
(C) \(\frac{4}{3}\)
Step-by-step Solution
Detailed explanation
Given equation of ellipse \(\frac{x^2}{6}-\frac{y^2}{5}=1\) Let equation of tangent \(y=m x+c\) \(\therefore\) It passes through \((2,3)\) i.e \(c=3-2 m\) By condition of tangency.…
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