The equation of a circle which touches the $x$-axis and whose centre is $(1, 2)$ is
- A$(x-2)^2+(y-1)^2=4$
- B$(x-1)^2+(y-2)^2=4$
- C$(x-1)^2+(y+2)^2=4$
- D$(x+2)^2+(y-1)^2=4$
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If a circle of radius $3$ passes through the point $(7,3)$ and has its centre on the line $x-y-1=0$,then its equation among the following is
$A$ circle has a radius of $3$ units and its centre lies on the line $y = x - 1$. If the circle passes through the point $(7, 3)$,what is its equation?
Medium
View SolutionFind the equation of the circle passing through the foci of the ellipse $\frac{x^2}{16} + \frac{y^2}{9} = 1$ and having its center at $(0, 3)$.
Difficult
View SolutionThe equation of the circle passing through the foci of the ellipse $\frac{x^2}{16} + \frac{y^2}{9} = 1$ and having its centre at $(0, 3)$ is
Find the radius and center of the circle $2x^2 + 2y^2 = 3x - 5y + 7$.
Easy
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