JEE Main 2013 — Parabola Question with Solution
JEE Main 2013 (09 Apr Online)
Question
Statement-1: The slope of the tangent at any point on a parabola, whose axis is the axis of and vertex is at the origin, is inversely proportional to the ordinate of the point .
Statement-2: The system of parabolas satisfies a differential equation of degree 1 and order 1.
Choose an option
Show full solutionCorrect option: B
Correct answer
BStatement-1 is true; Statement-2 is true; Statement- 2 is not a correct explanation for statement-1.
Step-by-step explanation
- Statement
Statement Thus both statements are true but statement-2 is not a correct explanation for statement-1.
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This is a previous-year question from JEE Main 2013, 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.