Section 1
Introduction
Find the equation of the circle with.centre $(0,2)$ and radius 2
Find the equation of the circle with.centre $(-2,3)$ and radius 4
Find the equation of the circle with.centre $\left(\frac{1}{2}, \frac{1}{4}\right)$ and radius $\frac{1}{12}$
Find the equation of the circle with.centre $(1,1)$ and radius $\sqrt{2}$
Find the equation of the circle with.centre $(-a,-b)$ and radius $\sqrt{a^{2}-b^{2}}$.
Find the centre and radius of the circles.$$(x+5)^{2}+(y-3)^{2}=36$$
Find the centre and radius of the circles.$$x^{2}+y^{2}-4 x-8 y-45=0$$
Find the centre and radius of the circles.$$x^{2}+y^{2}-8 x+10 y-12=0$$
Find the centre and radius of the circles.$$2 x^{2}+2 y^{2}-x=0$$
Find the equation of the circle passing through the points $(4,1)$ and $(6,5)$ and whose centre is on the line $4 x+y=16$.
Find the equation of the circle passing through the points $(2,3)$ and $(-1,1)$ and whose centre is on the line $x-3 y-11=0$.
Find the equation of the circle with radius 5 whose centre lies on $x$ -axis and passes through the point $(2,3)$.
Find the equation of the circle passing through $(0,0)$ and making intercepts $a$ and $b$ on the coordinate axes.
Find the equation of a circle with centre $(2,2)$ and passes through the point $(4,5)$.
Does the point $(-2.5,3.5)$ lie inside, outside or on the circle $x^{2}+y^{2}=25 ?$