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The exhaustive set value of alpha^2 such...

The exhaustive set value of `alpha^2` such that there exists a tangent to the ellipse `x^2+alpha^2y^2=alpha^2` and the portion of the tangent intercepted by the hyperbola `alpha^2x^2-y^2` subtends a right angle at the center of the curves is (a)`[(sqrt(5)+1)/2,2]` (b) `(1,2]` (c)`[(sqrt(5)-1)/2,1]` `(d) [(sqrt(5)-1)/2,1]uu[1,(sqrt(5)+1)/2]`

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