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TS EAMCET · Maths · Ellipse

If tangents are drawn from any point on the circle \(x^2+y^2=25\) to the ellipse \(\frac{x^2}{16}+\frac{y^2}{9}=1\), then the angle between the tangents is

  1. A \(\frac{2 \pi}{3}\)
  2. B \(\frac{pi}{4}\)
  3. C \(\frac{pi}{3}\)
  4. D \(\frac{pi}{2}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{pi}{2}\)

Step-by-step Solution

Detailed explanation

Given circle is a director circle to the given ellipse. \(\therefore\) Angle between tangelt is \(\theta=\frac{\pi}{2}\)