# An Elliptical Problem

**Geometry**Level 5

If the normal at the end of latus rectum of the ellipse \(\frac{x^{2}}{z^{2}} + \frac{y^{2}}{b^{2}} =1\) passes through an extremity of minor axis ,

(1) Let \( e^{4} + e^{2} = J\)

(2) Let the ratio of major and minor axes be be *K* .

[Where e is the eccentricity of the ellipse]

Evaluate \(J \times K\) .

*Report the answer upto 2 places of decimal

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