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Question

Question: If e<sub>1</sub> and e<sub>2</sub> be eccentricities of the ellipse 9x<sup>2</sup> + 4y<sup>2</sup> ...

If e1 and e2 be eccentricities of the ellipse 9x2 + 4y2 = 36 and hyperbola 9x2 –4y2 = 36 respectively, then

A

e12 + e22 > 3

B

e12 + e22 < 4

C

e12 + e22 = 2

D

Both (1) and (2)

Answer

Both (1) and (2)

Explanation

Solution

On evaluating, e12 = 5/9; e22 = 134\frac{13}{4}

So 3 < e12 + e22 < 4