The exhaustive set of values of a2 such that there exists a tangent to – InterviewSolution

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1.	The exhaustive set of values of a2 such that there exists a tangent to the ellipse x2+a2y2=a2 such that the portion of the tangent intercepted by the hyperbola a2x2−y2=1 subtends a right angle at the origin.
Answer» The exhaustive set of values of $a^{2}$ such that there exists a tangent to the ellipse $x^{2} + a^{2} y^{2} = a^{2}$ such that the portion of the tangent intercepted by the hyperbola $a^{2} x^{2} - y^{2} = 1$ subtends a right angle at the origin.

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