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Friday, 9 October

JEE Main 2026 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 4 April 2026, Shift 2, Maths Q10

Question 10 of 75 in this shift, Maths question 10 of 25, Section A.

Let P(3cos⁡α,2sin⁡α)P(3\cos\alpha,2\sin\alpha), α≠0\alpha\neq0, be a point on the ellipse x29+y24=1\frac{x^2}{9}+\frac{y^2}{4}=1, QQ be a point on the circle x2+y2−14x−14y+82=0x^2+y^2-14x-14y+82=0 and RR be a point on the line x+y=5x+y=5 such that the centroid of the triangle PQRPQR is (2+cos⁡α, 3+23sin⁡α)\left(2+\cos\alpha,\,3+\frac23\sin\alpha\right). Then the sum of the ordinates of all possible points RR is:
  1. (1)6
  2. (2)2
  3. (3)4
  4. (4)8Official answer

Official answer

Option 4

NTA final key.

Chapter
Conic Sections
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.