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Friday, 9 October

JEE Main 2021 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 25 July 2021, Shift 1, Maths Q75

Question 75 of 90 in this shift, Maths question 15 of 30, Section A.

The locus of the centroid of the triangle formed by any point P on the hyperbola 16x2−9y2+32x+36y−164=016x^2-9y^2+32x+36y-164=0, and its foci is :
  1. (1)9x2−16y2+36x+32y−36=09x^2-16y^2+36x+32y-36=0
  2. (2)16x2−9y2+32x+36y−144=016x^2-9y^2+32x+36y-144=0
  3. (3)9x2−16y2+36x+32y−144=09x^2-16y^2+36x+32y-144=0
  4. (4)16x2−9y2+32x+36y−36=016x^2-9y^2+32x+36y-36=0Official 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.