The set of values of α2, if there exists a tangent to the ellipse x2� – InterviewSolution

1.	The set of values of α2, if there exists a tangent to the ellipse x2α2+y2=1 such that the portion of the tangent intercepted by the hyperbola α2x2−y2=1 subtends a right angle at the centre of the curves, is
Answer» The set of values of $α^{2}$ , if there exists a tangent to the ellipse $\frac{x^{2}}{α^{2}} + y^{2} = 1$ such that the portion of the tangent intercepted by the hyperbola $α^{2} x^{2} - y^{2} = 1$ subtends a right angle at the centre of the curves, is

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