EllipseEasy
Question
An ellipse passes through the foci of the hyperbola, 9x2 − 4y2 = 36 and its major and minor axes lie along thetransverse and conjugate axes of the hyperbola respectively. if the product of eccentricities of the two conicsis 1/2, then which of the following points does not lie on the ellipse ?
Options
A.
B.(
, 0)
, 0)C.
D.
Solution
focii are (
,0) and (-
,0)eccentricity of hyperbola is eH =
⇒ eccentricity of ellipse is eE = 
Let equation ellipse is
= 1 ⇒ e2E = 1 - 
⇒
⇒
.....(1)Ellipse passes through (±
,0) ⇒ 
= 1 ⇒ a2 = 13 ⇒ b = 
Equation of ellipse ≡
= 1which is passes through (
,0) 
and 
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