Question

Let $E_1$ and $E_2$ be two ellipse. The area of the Ellipse $E_2$ is one-third the area of the quadrilateral formed by the tangents at the ends of the latus rectum of the ellipse $E_3\left(E_3:5x^2+9y^2=45\right)$. The eccentricities of $E_1,E_2$ and $E_3$ are equal. $E_1$ is inscribed in $E_2$ in such a way that both $E_1$ and $E_2$ touch each other at one end of their common major axis. If the length of the major axis of $E_1$ is equal to the length of the minor axis of $E_2$, then the area of the ellipse $E_2$ outside the ellipse $E_1$ is

• A. 2 sq. units
• B. 5 sq. units
• C. 3 sq. units
• D. 4 sq. units

Answer 1

Answer: (D)

Correct answer is (d) 4 sq. units