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

Circle with centre (-1,2) and passing through origin is

Circle will centre origin and passing through (-1,2) is

The circle with centre (4,-1) and touching x-axis 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 D E B is maximum when the slope of the line is m , then find the value of m^(-2)

Statement-1: The centre of the circle passing through the points (0, 0), (1, 0) and touching the circle C : x^(2)+y^(2)=9 lies inside the circle. Statement-2: If a circle C_(1) passes through the centre of the circle C_(2) and also touches the circle, the radius of the circle C_(2) is twice the radius of circle C_(1)

Find the equation of a circle which passes through the origin and whose centre is (a, b).

The differential equation of circles passing through the points of intersection of unit circle with centre at the origin and the line bisecting the first quadrant, is

Find the equation of circle of radius 3, passing through the origin and having its centre on the x-axis.

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

Find the area of the region bounded by y^2=4x, x=1, x=4 and the x-axis in the first quadrant.