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Saturday, 31 October

JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 27 August 2021, Shift 2, Maths Q80

Question 80 of 90 in this shift, Maths question 20 of 30, Section A.

Two poles, AB of length a metres and CD of length a+ba + b (b≠ab \neq a) metres are erected at the same horizontal level with bases at B and D. If BD=xBD = x and tan⁡⌊ACB‾=12\tan\underline{\lfloor ACB} = \frac{1}{2}, then :
  1. (1)x2+2(a+2b)x−b(a+b)=0x^2 + 2(a + 2b)x - b(a + b) = 0
  2. (2)x2−2ax+a(a+b)=0x^2 - 2ax + a(a + b) = 0
  3. (3)x2−2ax+b(a+b)=0x^2 - 2ax + b(a + b) = 0Official answer
  4. (4)x2+2(a+2b)x+a(a+b)=0x^2 + 2(a + 2b)x + a(a + b) = 0

Official answer

Option 3

NTA final key.

Topic
No close match in our taxonomy
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.