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Two tangents to an ellispse x^(2)+2y^(2)...

Two tangents to an ellispse `x^(2)+2y^(2)=2` are drawn which intersect at right angles,let `l_(1)` and `l_(2)` be the intercepts on these tangents made by the circle `x^(2)+y^(2)=2`, then `l_(1)^(2)+l_(2)^(2)` is equal to________

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The correct Answer is:
4
As `l_(1)^(2)+l_(2)^(2)=(SS_(1))^(2) (S,S_(1)` are focii of ellipse)
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