JEE Main 2019 — Parabola Question with Solution
From: JEE Main 2019 (Online) 12th April Morning Slot
Question
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 :
Choose an option
Show full solutionCorrect option: C
Correct answer
C5 : 4
Step-by-step explanation
Let equation of common tangent is y = mx +
= 1, m2 - 8
equation of common tangents are y = 3x + 1 & y = -3x - 1
= 1, m2 - 8
equation of common tangents are y = 3x + 1 & y = -3x - 1
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This is a previous-year question from JEE Main 2019, covering the Parabola chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.