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 = 413
So 3 < e12 + e22 < 4