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Friday, 9 October

JEE Main 2026 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 5 April 2026, Shift 1, Maths Q11

Question 11 of 75 in this shift, Maths question 11 of 25, Section A.

In an equilateral triangle PQR, let the vertex P be at (3,5)(3, 5) and the side QR be along the line x+y=4x + y = 4. If the orthocentre of the triangle PQR is (α,β)(\alpha, \beta), then 9(α+β)9(\alpha + \beta) is equal to:
  1. (1)16
  2. (2)27
  3. (3)36
  4. (4)48Official answer

Official answer

Option 4

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 42 of the 174 JEE Main shifts held from 2017 to 2026.