I am new to Mathematica and I would like to plot a number of circles all onto the **same** graph. I would like to visually observe which circles intersect each other. One constraint on all the circles is that the x-coordinate is always zero.

I have a list of 3-tuples (x-coordinate, y-coordinate, radius) which represent each circle. For example, (0,0,1), (0,1,5)... I am not sure how construct the circle intersections using the `Plot` command.