A circle passes through the points `A(1,0)a n dB(5,0),` and touches the y-axis at `C(0,h)dot` If `/_A C B` is maximum, then

If a circle passes through the point (0,0),(a ,0)a n d(0, b) , then find its center.

The circle passing through the point (-1,0) and touching the y-axis at (0,2) also passes through the point:

A variable circle passes through the point A(a ,b) and touches the x-axis. Show that the locus of the other end of the diameter through A is (x-a)^2=4b y .

Centre of a circle Q is on the Y-axis. The circle passes through the points (0, 7) and (0, -1). If it intersects the positive X-axis at (P, 0), what is the value of ‘P’?

The circle passing through (1,-2) and touching the axis of x at (3,0) passing through the point

The radius of the tangent circle that can be drawn to pass through the point (0, 1) and (0, 6) and touching the x-axis is(a) 5/2 (b)Â 3/2 (c) 7/2 (d) 9/2

A circle passes through (0,0) and (1, 0) and touches the circle x^2 + y^2 = 9 then the centre of circle is -

Find the equation of the line passing through the points (1,2,3)a n d(-1,0,4)dot

The equation of the cirele which passes through the point (1, 1) and touches the circle x^2+y^2+4x-6y-3=0 at the point (2, 3) on it is