Let P be the point of intersection of the common tangents to the parab – InterviewSolution

1.	Let P be the point of intersection of the common tangents to the parabola y2=12x and the hyperbola 8x2−y2=8. If S and S′ denote the foci of the hyperbola where S lies on the positive x−axis then P divides SS′ in a ratio
Answer» Let $P$ be the point of intersection of the common tangents to the parabola $y^{2} = 12 x$ and the hyperbola $8 x^{2} - y^{2} = 8.$ If $S$ and $S^{'}$ denote the foci of the hyperbola where $S$ lies on the positive $x -$ axis then $P$ divides $S S^{'}$ in a ratio

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