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Saturday, 31 October

JEE Main 2022 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 27 July 2022, Shift 1, Maths Q15

Question 15 of 90 in this shift, Maths question 15 of 30, Section A.

Let a vertical tower ABAB of height 2h2h stands on a horizontal ground. Let from a point PP on the ground a man can see upto height hh of the tower with an angle of elevation 2α2\alpha. When from PP, he moves a distance dd in the direction of AP→\overrightarrow{AP}, he can see the top BB of the tower with an angle of elevation α\alpha. If d=7 hd = \sqrt{7}\,h, then tan⁡α\tan\alpha is equal to
  1. (1)5−2\sqrt{5} - 2
  2. (2)3−1\sqrt{3} - 1
  3. (3)7−2\sqrt{7} - 2Official answer
  4. (4)7−3\sqrt{7} - \sqrt{3}

Official answer

Option 3

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.