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JEE Main 2022 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 28 July 2022, Shift 1, Maths Q11

Question 11 of 90 in this shift, Maths question 11 of 30, Section A.

If the tangents drawn at the points P and Q on the parabola

y^2=2x-3

intersect at the point R(0, 1), then the orthocentre of the triangle PQR is :

(1) $(0,1)$
(2) $(2,-1)$ Official answer
(3) $(6,3)$
(4) $(2,1)$

Official answer

Option 2

NTA final key (2022 Session 2).

Chapter: Conic Sections
Topic: General Conic Section
Idea tested: Chord of Contact for General Conic

Same idea in other shifts

Asked 2× in all

3 Aug 2021, Shift 2 · Q75The tangents, to the parabola $y^2 = 2 - x$ at the points of its intersection with the line $y = x - 2$ , intersect at the pointMediumSingle 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 42 of the 174 JEE Main shifts held from 2017 to 2026.