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Friday, 9 October

JEE Main 2021 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 18 March 2021, Shift 1, Maths Q75

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

Choose the correct statement about two circles whose equations are given below : x2+y2−10x−10y+41=0x^2+y^2-10x-10y+41=0 x2+y2−22x−10y+137=0x^2+y^2-22x-10y+137=0
  1. (1)circles have two meeting points
  2. (2)circles have no meeting point
  3. (3)circles have only one meeting pointOfficial answer
  4. (4)circles have same centre

Official answer

Option 3

NTA final key.

Chapter
Conic Sections
Topic
Circle Tangents
Idea tested
Number of Common Tangents

Same idea in other shifts

Asked 2× in all
  1. 9 Jan 2020, Shift 2 · Q73If the curves, x2−6x+y2+8=0x^2-6x+y^2+8=0 and x2−8y+y2+16−k=0x^2-8y+y^2+16-k=0, (k>0)(k>0) touch each other at a point, then the largest value of kk is ______.MediumNumerical value

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.