A normal to the hyperbola x24−y21=1 has equal intercepts on positive – InterviewSolution

1.	A normal to the hyperbola x24−y21=1 has equal intercepts on positive x and y axes. If this normal touches the ellipse x2a2+y2b2=1, then the value of 3(a2+b2) is
Answer» A normal to the hyperbola $\frac{x^{2}}{4} - \frac{y^{2}}{1} = 1$ has equal intercepts on positive $x$ and $y$ axes. If this normal touches the ellipse $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1$ , then the value of $3 (a^{2} + b^{2})$ is

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