Maharashtra Board Solutions for Chapter: Circle, Exercise 1: EXERCISE 6.1

Find the centre and radius of the circle $x^2+y^{2 }=25$

Find the centre and radius of the circle.

$(x-5{)}^{2 }+(y-3{)}^2 = 20$

Find the centre and radius of the circle.

${\left(x-\frac{1}{2}\right)}^2 +{\left(y+\frac{1}{3}\right)}^2 =\frac{1}{36}$

Find the equation circle if the equations of two diameters are $2x+y=6$ and $3x+2y=4$. When radius of circle is $9$.

If $y=2x$ is a chord of circle $x^2+ y^2-10x=0$, find the equation of a circle with this chord as diameter.

Find the equation of a circle with radius $4$ units and touching both the co-ordinate axes having a centre in third quadrant. 

Find the equation of a circle passing through the origin and having intercepts $4$ and $-5$ on the co-ordinate axes.

Find the equation of a circle passing through the points $\left(1, -4\right), \left(5, 2\right)$ and having its centre on the line $x-2y+9=0$.