JEE Main 2022 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 28 July 2022, Shift 2, Maths Q83

Question 83 of 90 in this shift, Maths question 23 of 30, Section B.

Let the tangents at the points P and Q on the ellipse

\frac{x^2}{2}+\frac{y^2}{4}=1

meet at the point

R(\sqrt{2},2\sqrt{2}-2)

. If S is the focus of the ellipse on its negative major axis, then

SP^2+SQ^2

is equal to ________.

Official answer

NTA final key.

Chapter: Conic Sections
Topic: Ellipse Eccentricity
Idea tested: Focal distance property

Same idea in other shifts

Asked 5× in all

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3 Aug 2021, Shift 2 · Q74If an ellipse passes through the point $(4, 1)$ and has foci at $(\pm3, 0)$ , then its eccentricity isMediumSingle correct
5 Sep 2020, Shift 1 · Q65If the co-ordinates of two points A and B are $(\sqrt{7},0)$ and $(-\sqrt{7},0)$ respectively and P is any point on the conic,…EasySingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.