The length of the diameter of the circle which touches the X-axis at the point (1,0) and passes through the point (2,3) is
Solution : Let us assume that the coordinates of the center of the circle are C(h,k) and its radius is r. Now, since the circle touches X-axis at (1,0), hence its radius should be equal to ordinate of center. \(\implies\) r = k Hence, the equation of circle is \((x – h)^2 + (y – […]