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Saturday, 31 October

JEE Main 2023 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 12 April 2023, Shift 1, Maths Q12

Question 12 of 90 in this shift, Maths question 12 of 30, Section A.

Let P(237,67)P\left(\frac{2\sqrt{3}}{\sqrt{7}},\frac{6}{\sqrt{7}}\right), Q, R and S be four points on the ellipse 9x2+4y2=369x^2+4y^2=36. Let PQ and RS be mutually perpendicular and pass through the origin. If 1(PQ)2+1(RS)2=pq\frac{1}{(PQ)^2}+\frac{1}{(RS)^2}=\frac{p}{q}, where pp and qq are coprime, then p+qp+q is equal to
  1. (1)137137
  2. (2)143143
  3. (3)147147
  4. (4)157157Official 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 108 of the 174 JEE Main shifts held from 2017 to 2026.