The circle `x^2+y^2-6x-10 y+k=0` does not touch or intersect the coordinate axes, and the point (1, 4) is inside the circle. Find the range of value of `kdot`

The circle x^2 + y^2 - 4x + 6y + c = 0 touches x axis if

The circle x^(2) + y^(2) = 4 x + 8 y + 5 intersects the line 3x -4y =m at two distinct points if

Tangent drawn from the point P(4,0) to the circle x^2+y^2=8 touches it at the point A in the first quadrant. Find the coordinates of another point B on the circle such that A B=4 .

Sum of all the radii of the circles touching the coordinate axes and the line 3 x+4 y=12 , is

The circle x^2+y^2-4x-4y+4=0 is inscribed in a triangle which has two of its sides along the coordinate axes. The locus of the circumcenter of the triangle is x+y-x y+k(x^2+y^2)^(1/2)=0 . Find kdot

Show that the circles x^2+y^2-10 x+4y-20=0 and x^2+y^2+14 x-6y+22=0 touch each other. Find the coordinates of the point of contact and the equation of the common tangent at the point of contact.

If the length tangent drawn from the point (5, 3) to the circle x^2+y^2+2x+k y+17=0 is 7, then find the value of kdot

If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two distinct points, then find the values of mdot

The circle x^2+y^2-8x=0 and hyperbola x^2/9-y^2/4=1 intersect at the points A and B Equation of the circle with AB as its diameter is