Point M moves on the circle `(x-4)^2+(y-8)^2=20`. Then it brokes away from it and moving along a tangent to the circle, cuts the x-axis at the point (-2,0). The co-ordinates of a point on the circle at which the moving point broke away is

The tangent to the circle x^(2)+y^(2)=5 at the point (1, -2) also touches the circle x^(2)+y^(2)-8x+6y+20=0 at the point

A circle touches x- axis at point (3,0). If it makes an intercept of 8 units on y- axis,then the circle passes through which point

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 AB=4.

A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C broke away from it either at the point A or point B on the circle and move along a tangent to the circle passing through the point D(3,-3). Find the following: (a) Equation of the tangents at A and B. (b) Coordinates of the points A and B. (c) Angle ADB and the maximum and minimum distances of the point D from the circle. (d) Area of quadrilateral ADBC and the DeltaDAB. e) Equation of the circle circumscribing the DeltaDAB and also the intercepts made by the this circle on the coordinates axes.

The line 2x-y+1=0 is tangent to the circle at the point (2,5) and the centre of the circles lies on x-2y=4. The radius of the circle is :

The line 2x-y+1=0 is tangent to the circle at the point (2,5) and the centre of the circles lies on x-2y=4 The radius of the circle is:

The line 2x-y+1=0 is tangent to the circle at the point (2,5) and the centre of the circles lies on x-2y=4. The radius of the circle is