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Saturday, 31 October

JEE Main 2022 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 25 June 2022, Shift 2, Maths Q10

Question 10 of 90 in this shift, Maths question 10 of 30, Section A.

A circle touches both the yy-axis and the line x+y=0x + y = 0. Then the locus of its center is:
  1. (1)y=2xy = \sqrt{2}x
  2. (2)x=2yx = \sqrt{2}y
  3. (3)y2−x2=2xyy^2 - x^2 = 2xy
  4. (4)x2−y2=2xyx^2 - y^2 = 2xyOfficial 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.