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JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 3 August 2021, Shift 2, Maths Q75

Question 75 of 90 in this shift, Maths question 15 of 30, Section A.

The tangents, to the parabola

y^2 = 2 - x

at the points of its intersection with the line

y = x - 2

, intersect at the point

(1) $\left(-\frac{1}{2}, 2\right)$
(2) $\left(2, -\frac{1}{2}\right)$ Official answer
(3) $(2, 0)$
(4) $\left(2, -\frac{3}{2}\right)$

Official answer

Option 2

NTA final key.

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

Same idea in other shifts

Asked 2× in all

28 Jul 2022, Shift 1 · Q11If 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…HardSingle 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.