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Saturday, 31 October

JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 29 July 2022, Shift 1, Maths Q11

Question 11 of 90 in this shift, Maths question 11 of 30, Section A.

The angle of elevation of the top of a tower from a point A due north of it is α\alpha and from a point B at a distance of 9 units due west of A is cos⁡−1(313)\cos^{-1}\left(\frac{3}{\sqrt{13}}\right). If the distance of the point B from the tower is 15 units, then cot⁡α\cot\alpha is equal to :
  1. (1)65\frac{6}{5}Official answer
  2. (2)95\frac{9}{5}
  3. (3)43\frac{4}{3}
  4. (4)73\frac{7}{3}

Official answer

Option 1

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.