Q. Number of tangents from $(7,\ 6)$ to ellipse $\frac{x^{2}}{16} + \frac{y^{2}}{25} = 1$ is
A) 0
B) 1
C) 2
D) None of these
Explanation
(c)
Let $S \equiv \frac{x^{2}}{16} + \frac{y^{2}}{25} - 1 = 0$
At point $(7,\ 6),\ S_{1} > 0.$ So two tangents can be drawn from this point
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.