JEE Main 2021 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 24 February 2021, Shift 1, Maths Q88

Question 88 of 90 in this shift, Maths question 28 of 30, Section B.

If one of the diameters of the circle

x^2 + y^2 - 2x - 6y + 6 = 0

is a chord of another circle 'C', whose center is at

(2, 1)

, then its radius is ___________.

Official answer

NTA final key.

Chapter: Conic Sections
Topic: General Conic Section
Idea tested: Condition for a Circle

Same idea in other shifts

Asked 5× in all

8 Apr 2023, Shift 1 · Q27Consider a circle $C_1:x^2+y^2-4x-2y=\alpha-5$ . Let its mirror image in the line $y=2x+1$ be another circle…MediumNumerical value
26 Jul 2022, Shift 1 · Q12A point P moves so that the sum of squares of its distances from the points $(1,\ 2)$ and $(-2,\ 1)$ is 14. Let $f\,(x,\ y) = 0$ be the…MediumSingle correct
25 Jun 2022, Shift 1 · Q24Let the abscissae of the two points P and Q be the roots of $2x^2-rx+p=0$ and the ordinates of P and Q be the roots of $x^2-sx-q=0$ . If…MediumNumerical value
27 Aug 2021, Shift 1 · Q86Let the equation $x^2+y^2+px+(1-p)y+5=0$ represent circles of varying radius $r \in (0, 5]$ . Then the number of elements in the set…HardNumerical 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 108 of the 174 JEE Main shifts held from 2017 to 2026.