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Saturday, 31 October

JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 27 July 2022, Shift 2, Maths Q18

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

The angle of elevation of the top P of a vertical tower PQ of height 10 from a point A on the horizontal ground is 45∘45^\circ. Let R be a point on AQ and from a point B, vertically above R, the angle of elevation of P is 60∘60^\circ. If ∠BAQ=30∘\angle BAQ = 30^\circ, AB = d and the area of the trapezium PQRB is α\alpha, then the ordered pair (d,α)(d, \alpha) is :
  1. (1)(10(3−1),25)\left(10(\sqrt{3} - 1), 25\right)Official answer
  2. (2)(10(3−1),252)\left(10(\sqrt{3} - 1), \frac{25}{2}\right)
  3. (3)(10(3+1),25)\left(10(\sqrt{3} + 1), 25\right)
  4. (4)(10(3+1),252)\left(10(\sqrt{3} + 1), \frac{25}{2}\right)

Official answer

Option 1

NTA final key.

Topic
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Idea tested
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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.