Circle with centre C (1, 1) passes through the origin and intersects the x-axis at A and y-axis at B. The area of the part of the circle that lies in the first quadrant is

A circle with its centre on the line y=x+1 is drawn to pass through the origin and touch the line y=x+2 .The centre of the circle is

If a circle passing through the point (-1,0) touches y-axis at (0,2) then the length of the chord of the circlealong the x-axis 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

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)

A circle passes through origin and touches the line y=x+2 with one of its diameters being y=x+1 ,then the centre of the circle

A circle with centre (h,k) .If the circle passing through (0,0) and centre lies on x -axis.Then the equation of the circle is

A circle passing through (1, 1) and (3 ,3) intersect the positive x -axis at A(a, 0) and B(b , 0) .Then ab=?