JEE Main 2021 — Parabola Question with Solution
From: JEE Main 2021 (Online) 25th July Morning Shift
Question
Let a parabola b be such that its vertex and focus lie on the positive x-axis at a distance 2 and 4 units from the origin, respectively. If tangents are drawn from O(0, 0) to the parabola P which meet P at S and R, then the area (in sq. units) of SOR is equal to :
Choose an option
Show full solutionCorrect option: B
Correct answer
B16
Step-by-step explanation
Clearly RS is latus-rectum
VF = 2 = a
RS = 4a = 8
Now OF = 2a = 4
Area of triangle ORS = 16
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Parabola chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2021, 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.