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  4. 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 E3(E3: 5 x2+9 y2=45). The eccentricities of E1, E2 and E3 are equal. E1 is inscribed in E2 in such a way that both E1 and E2 touch each other at one end of their common major axis. If the length of the major axis of E1 is equal to the length of the minor axis of E2, then the area of the ellipse E2 outside the ellipse E1 is

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Q. 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 $E_3\left(E_3: 5 x^2+9 y^2=45\right)$. 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

Conic Sections

Solution:

Correct answer is (d) 4 sq. units