EllipseHard

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)
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 ≡ = 1
which is passes through (,0) and

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