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If the ellipse x^(2)+lambda^(2)y^(2)=lam...

If the ellipse `x^(2)+lambda^(2)y^(2)=lambda^(2)a^(2) , lambda^(2) gt1` is confocal with the hyperbola `x^(2)-y^(2)=a^(2)`, then
a. ratio of eccentricities of ellipse and hyperbola is `1:sqrt(3)`
b. ratio of major axis of ellipse and transverse axis of hyperbola is `sqrt(3):1`
c. The ellipse and hyperbola cuts each other orthogonally
d. ratio of length of latusrectumof ellipse and hyperbola is `1:3`

A

ratio of eccentricities of ellipse and hyperbola is `1:sqrt(3)`

B

ratio of major axis of ellipse and transverse axis of hyperbola is `sqrt(3):1`

C

`The ellipse and hyperbola cuts each other orthogonally

D

ratio of length of latusrectumof ellipse and hyperbola is `1:3`

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The correct Answer is:
A, B, C
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