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Friday, 9 October

JEE Main 2022 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 28 July 2022, Shift 1, Maths Q7

Question 7 of 90 in this shift, Maths question 7 of 30, Section A.

For t∈(0,2π)t\in(0,2\pi), if ABC is an equilateral triangle with vertices A(sin⁡t,−cos⁡t)A(\sin t,-\cos t), B(cos⁡t,sin⁡t)B(\cos t,\sin t) and C(a,b)C(a,b) such that its orthocentre lies on a circle with centre (1,13)\left(1,\frac{1}{3}\right), then (a2−b2)(a^2-b^2) is equal to :
  1. (1)83\frac{8}{3}
  2. (2)88Official answer
  3. (3)779\frac{77}{9}
  4. (4)809\frac{80}{9}

Official answer

Option 2

NTA final key (2022 Session 2).

Chapter
Straight Lines
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 42 of the 174 JEE Main shifts held from 2017 to 2026.