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Two concentric ellipses are such that th...

Two concentric ellipses are such that the foci of one are on the other and their major axes are equal. Let `ea n de '` be their eccentricities. Then. the quadrilateral formed by joining the foci of the two ellipses is a parallelogram the angle `theta` between their axes is given by `theta=cos^(-1)sqrt(1/(e^2)+1/(e^('2))=1/(e^2e^('2)))` If `e^2+e^('2)=1,` then the angle between the axes of the two ellipses is `90^0` none of these

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