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Saturday, 31 October

JEE Main 2022 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 29 June 2022, Shift 2, Maths Q11

Question 11 of 90 in this shift, Maths question 11 of 30, Section A. NTA dropped this question from the final key; it is left out of every count on this site.

Let a triangle ABCABC be inscribed in the circle x2−2(x+y)+y2=0x^2 - \sqrt{2}(x + y) + y^2 = 0 such that ∠BAC=π2\angle BAC = \frac{\pi}{2}. If the length of side ABAB is 2\sqrt{2}, then the area of the ΔABC\Delta ABC is equal to :
  1. (1)(2+6)/3\left(\sqrt{2} + \sqrt{6}\right)/3
  2. (2)(6+3)/2\left(\sqrt{6} + \sqrt{3}\right)/2
  3. (3)(3+3)/4\left(3 + \sqrt{3}\right)/4
  4. (4)(6+23)/4\left(\sqrt{6} + 2\sqrt{3}\right)/4

Official answer

Dropped by NTA (marks given to all)

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.