Questions in circle

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For what value of k, the points (0, 0), (1, 3), (2, 4) and (k, 3) are con-cyclic
The four distinct points (0, 0),(2, 0), (0, –2) and (k,–2)are con-cyclic, if k =
Through which of the following pairs of points does the circle ${{x}^{2}}+{{y}^{2}}-12x+1=0$ pass
The radius of the circle passing through the point (6, 2) and two of whose diameters are $x+y=6$ and $x+2y=4$ is
If the lines $2x+3y+1=0$ and $3x-y-4=0$ lie along diameters of a circle of circumference $10\pi $ , then the equation of the circle is
The equation of a circle touching the axes of coordinates and the line $x\cos \alpha +y\sin \alpha =2$ can be
If a circle and a square have the same perimeter, then
The length of intercept, the circle ${{x}^{2}}+{{y}^{2}}+10x-6y+9=0$ makes on the x-axis is
The equation to the circle with centre (2, 1) and touching the line $3x+4y=5$ is
The centre of the circle $x=2+3\cos \theta $ , $y=3\sin \theta -1$ is

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