If a line passing through the origin touches the circle `(x-4)^2+(y+5)^2=25` , then find its slope.

Lines passing through the point (11,-2) and touching the circle x^(2)+y^(2)=25 are

An equation of a line passing through the point (-2, 11) and touching the circle x^(2) + y^(2) = 25 is

A circle has its centre on the y-axis and passes through the origin, touches anotgher circle with centre (2,2) and radius 2, then the radius of the circle is

The centre of smallest circle passing through origin lies on the line x-y+1=0 then find the coordinates of its centre .

If the radisu of the circle passing through the origin and touching the line x+y=2 at (1, 1) is r units, then the value of 3sqrt2r is

If a circle passes through (0,0),(4,0) and touches the circle x^(2)+y^(2)=36 then the centre of circle

Find the circle of minimum radius which passes through the point (4,3) and touches the circle x^(2)+y^(2)=4 externally.

The radius of a circle passing through origin and touching the parabola y^(2)=8x at (2,4) is r ,then r^(2) is equal to

The common chord of the circle x^(2)+y^(2)+6x+8y-7=0 and a circle passing through the origin and touching the line y=x always passes through the point.(-(1)/(2),(1)/(2)) (b) (1,1)((1)/(2),(1)/(2)) (d) none of these

A circle of radius 1 unit touches the positive x- axis and the positive y-axis at A and B , respectively.A variable line passing through the origin intersects the circle at two points D and E. If the area of triangle DEB is maximum when the slope of the line is m, then find the value of m^(-2)