A circle touches the y-axis at the point (0, 4) and cuts the x-axis in a chord of length 6 units. Then find the radius of the circle.

Consider a circle C which touches the y-axis at (0,6) and cuts off an intercept 6 sqrt(5) on the x - axis. Then the radius of the circle C is equal to

A circle touches the line y = x at the point (2, 2) and has it centre on y-axis, then square of its radius is

A circle touches the y-axis at the point (0, 4) and passes through the point ( 2, 0). Which of the following lines is not a tangent to the circle ?

The radius of the circle touches the line y=x and has centre on the x-axis and cuts a chord of length 2 units along the line sqrt(3)y-x=0

A circle with centre at (2,4) is such that the line x+y+2=0 cuts a chord of length 6. The radius of the circle is

A circle C is tangent to the x and y axis in the first quadrant at the points P and Q respectively. BC and AD are parallel tangents to the circle with slope –1. If the points A and B are on the y-axis while C and D are on the x-axis and the area of the figure ABCD is 900 . sqrt(2) sq. units then find the radius of the circle.

Find the equation of the circle which touches the axis of y at a distance 4 from the origin and cuts off an intercept of length 6 on the axis of x .

Find the equation of the circle which touches the axis of x at a distance 3 from the origin and cuts an intercept of length 6 on the axis of y .

Equation when the circle touches the y axis at (0;beta) and cuts off intercept on the x axis of length 2k .