Learn

Saturday, 31 October

JEE Main 2022 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 27 June 2022, Shift 1, Maths Q29

Question 29 of 90 in this shift, Maths question 29 of 30, Section B.

A circle of radius 2 unit passes through the vertex and the focus of the parabola y2=2xy^2=2x and touches the parabola y=(x−14)2+αy=\left(x-\frac{1}{4}\right)^2+\alpha, where α>0\alpha>0. Then (4α−8)2(4\alpha-8)^2 is equal to ____________.

Official answer

63

NTA final key.

Chapter
Conic Sections
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

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.