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Saturday, 31 October

JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 26 June 2022, Shift 1, Maths Q12

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

Let C be a circle passing through the points A(2,−1)(2, -1) and B(3,4)(3, 4). The line segment AB is not a diameter of C. If r is the radius of C and its centre lies on the circle (x−5)2+(y−1)2=132(x-5)^2 + (y-1)^2 = \frac{13}{2}, then r2r^2 is equal to :
  1. (1)32
  2. (2)652\frac{65}{2}Official answer
  3. (3)612\frac{61}{2}
  4. (4)30

Official answer

Option 2

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.