Question

The number of common tangents to the circles one of which passes through the origin and cuts off intercepts 2 from each of the axes and the other circle has the segment joining the origin and the point (1, 1) as a diameter, is

Answer 1

Correct Answer - B
The equations of the circles are
`x^(2)+y^(2)-2x-2y=0 and x^(2)+y^(2)-x-y=0`
We observe that the distance between their centres is equal to the difference of their radii. So, there is one common tangent.