Gujarati
Hindi
10-2. Parabola, Ellipse, Hyperbola
normal

Number of points on the ellipse $\frac{x^2}{50} + \frac{y^2}{20} = 1$ from which pair of  perpendicular tangents are drawn to the ellipse $\frac{x^2}{16} + \frac{y^2}{9} = 1$ is :-

A

$0$

B

$2$

C

$1$

D

$4$

Solution

For the ellipse $\frac{x^{2}}{16}+\frac{y^{2}}{9}=1$ equation of director circle is $x^{2}+y^{2}=25 .$

This director circle will cut the ellipse $\frac{x^{2}}{50}+\frac{y^{2}}{20}=1$ at $4$ points hence number of points $=4.$

Standard 11
Mathematics

Similar Questions

Start a Free Trial Now

Confusing about what to choose? Our team will schedule a demo shortly.