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Saturday, 31 October

JEE Main 2022 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 28 June 2022, Shift 1, Maths Q19

Question 19 of 90 in this shift, Maths question 19 of 30, Section A.

Let AB and PQ be two vertical poles, 160 mm apart from each other. Let C be the middle point of B and Q, which are feet of these two poles. Let π8\frac{\pi}{8} and θ\theta be the angles of elevation from C to P and A, respectively. If the height of pole PQ is twice the height of pole AB, then tan⁡2θ\tan^2\theta is equal to
  1. (1)3−222\frac{3-2\sqrt{2}}{2}
  2. (2)3+22\frac{3+\sqrt{2}}{2}
  3. (3)3−224\frac{3-2\sqrt{2}}{4}Official answer
  4. (4)3−24\frac{3-\sqrt{2}}{4}

Official answer

Option 3

NTA final key.

Chapter
Trigonometric Functions
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.