Learn

Saturday, 31 October

JEE Main 2022 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 28 July 2022, Shift 2, Maths Q78

Question 78 of 90 in this shift, Maths question 18 of 30, Section A.

A horizontal park is in the shape of a triangle OAB with AB = 16. A vertical lamp post OP is erected at the point O such that ∠PAO=∠PBO=150\angle PAO=\angle PBO=15^0 and ∠PCO=450\angle PCO=45^0, where C is the midpoint of AB.Then (OP)2(OP)^2 is equal to
  1. (1)323(3−1)\frac{32}{\sqrt{3}}(\sqrt{3}-1)
  2. (2)323(2−3)\frac{32}{\sqrt{3}}(2-\sqrt{3})Official answer
  3. (3)163(3−1)\frac{16}{\sqrt{3}}(\sqrt{3}-1)
  4. (4)163(2−3)\frac{16}{\sqrt{3}}(2-\sqrt{3})

Official answer

Option 2

NTA final key.

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.