List of top Mathematics Questions on Circle asked in TS EAMCET

If \((h,k)\) is the centre of a circle cutting three circles orthogonally, then \(\frac{3}{h}+\frac{1}{k}=\)

A circle makes intercepts \(2\sqrt7\) and \(2\sqrt{12}\) on axes and diameter lies on \(3x+2y=0\). Find a point on circle.

Tangent to circle \(x^2+y^2-4x-8y-5=0\) equally inclined to axes is \(x+by+c=0\), \(b0\). Find \(2b+c\).

For circle \(x^2+y^2+12x-4y-9=0\), line \(x+2y-3=0\) represents

If \((h,k)\) is external centre of similitude of circles \[ x^2+y^2-6x-10y+9=0 \] and \[ x^2+y^2+6x+6y+2=0, \] then \(k-h=\)

If \(\theta\) is the angle between the circles \[ x^{2}+y^{2}+2x-4y-4=0,\quad x^{2}+y^{2}-4x-6y-3=0 \] then \(\cos\theta=\)

The radical centre of the circles $x^{2}+y^{2}-4\,x-6 \,y+5=0$ $x^{2}+y^{2}-2\,x-4 \,y-1=0$ and $x^{2}+y^{2}-6 \,x-2 \,y=0=0$ lies on the line