Embibe Experts Solutions for Chapter: Circle, Exercise 1: KEAM 2018

A circle with centre at $(3,6)$ passes through $(-1,1)$. Its equation is

The centre and radius of the circle ${\mathrm{x}}^2+{\mathrm{y}}^2-4\mathrm{x}+2\mathrm{y}=0$ are

The equation of the circle whose radius is $\sqrt{7}$ and concentric with the circle ${\mathrm{x}}^2+{\mathrm{y}}^2-8\mathrm{x}+6\mathrm{y}-11=0$ is

The equation of the circle with centre $\left(2,2\right)$ which passes through $\left(4,5\right)$ is

If the circle $x^2+y^2+4x+22y+c=0$ bisects the circumference of the circle $x^2+y^2-2x+8y-d=0$, then $c+d$ is equal to