JEE Main 2021 · 24 Feb · Shift 1 · Mathematics Q88

MathematicsInteger+4 / -1Question 88 of 90

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 _______.

Your answer

Answer and worked solution

Official answer: 3

Given circle centre (1, 3), radius 2. Its diameter is a chord of C, so C's radius is $\sqrt{d^2+2^2}$ with $d^2=1+4=5$ : radius 3.

Answer: 3

JEE Main 2021 · 24 Feb · Shift 1, Mathematics question 88