Question

Consider the parabola $y^2=20 x$, ellipse $\frac{x^2}{16}+\frac{y^2}{9}=1$ and hyperbola $\frac{x^2}{29}-\frac{y^2}{4}=1$
Equation of concentric ellipse touching auxiliary circles of the ellipse $\frac{x^2}{16}+\frac{y^2}{9}=1$ and hyperbola $\frac{x^2}{29}-\frac{y^2}{4}=1$, with major axis as the $x$-axis, is

• A. $\frac{x^2}{16}+\frac{y^2}{9}=1$
• B. $\frac{x^2}{29}+\frac{y^2}{16}=1$
• C. $\frac{x^2}{25}+\frac{y^2}{16}=1$
• D. $\frac{x^2}{16}+\frac{y^2}{4}=1$

Answer 1

Answer: (B)

Ellipse touching $x^2+y^2=16$ and $x^2+y^2=29$ is $\frac{x^2}{29}+\frac{y^2}{16}=1$ (As $x$-axis is major axis)