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  4. If the foci of the ellipse (x2/k2 a2)+(y2/a2)=1, (. k > 1 .) and hyperbola (x2/a2)-(y2/a2)=1 coincides then k=?

Q. If the foci of the ellipse and hyperbola coincides then

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Solution:

As we know, in the case of ellipse
focus is
where

and foci is .
Also for given hyperbola
Hence, it is a rectangular hyperbola, hence its eccentricity is
and foci
Given foci of ellipse and hyperbola coincide


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