Questions in circle

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The equation of the circle passing through the point (2, 1) and touching y-axis at the origin is
The equation of the circle which passes through the origin and cuts off intercepts of 2 units length from negative coordinate axes, is
For the circle ${{x}^{2}}+{{y}^{2}}+3x+3y=0$ , which of the following relations is true
The equation of the circle with centre on x-axis, radius 5 and passing through the point (2, 3), is
The equation of the circle which touches x-axis at (3, 0) and passes through (1, 4) is given by
If the lines $x+y=6$ and $x+2y=4$ be diameters of the circle whose diameter is 20, then the equation of the circle is
The number of circles touching the lines $x=0$ , $y=a$ and $y=b$ is
The equation of the circle whose diameters have the end points (a, 0) (0, b) is given by
The centre and radius of the circle $2{{x}^{2}}+2{{y}^{2}}-x=0$ are
Centre of the circle ${{(x-3)}^{2}}+{{(y-4)}^{2}}=5$ is

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