Find the equation of the circle with 1. centre (0,2) and radius 2

Find the equation of the circle passing through (0,0) and making intercepts $a$ and $b$ on the coordinate axes.

Find the equation of the circle with radius 5 whose centre lies on $x$-axis and passes through the point (2,3).

Find the centre and radius of the circles. 6. ($x$ + 5)$^2$ + ($y$ – 3)$^2$ = 36

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 centre and radius of the circles. 7. $x^2$ + $y^2$ – 4$x$ – 8$y$ – 45 = 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 centre and radius of the circles. 8. $x^2$ + $y^2$ – 8$x$ + 10$y$ – 12 = 0

Find the centre and radius of the circles. 9. 2$x^2$ + 2$y^2$ – $x$ = 0

Find the equation of the circle with 2. centre (–2,3) and radius 4

Does the point (–2.5, 3.5) lie inside, outside or on the circle $x^2$ + $y^2$ = 25?

Find the equation of a circle with centre (2,2) and passes through the point (4,5).

Find the equation of the circle with 3. centre ($frac{1}{2}$, $frac{1}{4}$) and radius $frac{1}{12}$

Find the equation of the circle with 4. centre (1,1) and radius $sqrt{2}$

Find the equation of the circle with 5. centre (–$a$, –$b$) and radius $sqrt{a^2-b^2}$.