Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
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
MathematicsEllipseAP EAMCETAP EAMCET 2014
Options:
  • A $\frac{2 \pi}{3}$
  • B $\frac{pi}{4}$
  • C $\frac{pi}{3}$
  • D $\frac{pi}{2}$
Solution:
2807 Upvotes Verified Answer
The correct answer is: $\frac{pi}{2}$
Given circle is a director circle to the given ellipse.
$\therefore$ Angle between tangelt is $\theta=\frac{\pi}{2}$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.