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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