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Saturday, 31 October

JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 25 February 2021, Shift 1, Maths Q71

Question 71 of 90 in this shift, Maths question 11 of 30, Section A.

A tangent is drawn to the parabola y2=6xy^2 = 6x which is perpendicular to the line 2x+y=12x + y = 1. Which of the following points does NOT lie on it ?
  1. (1)(0, 3)
  2. (2)(−6-6, 0)
  3. (3)(5, 4)Official answer
  4. (4)(4, 5)

Official answer

Option 3

NTA final key.

Chapter
Conic Sections
Topic
General Conic Section
Idea tested
Condition for Line Tangency

Same idea in other shifts

Asked 2× in all
  1. 17 Mar 2021, Shift 2 · Q80Let L be a tangent line to the parabola y2=4x−20y^2=4x-20 at (6, 2). If L is also a tangent to the ellipse x22+y2b=1\frac{x^2}{2}+\frac{y^2}{b}=1, then…MediumSingle 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.