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hereamp;#39;s a good question appeared on the SAT subject test that my students are studying uh this particular problem is very interesting it says find equation of a circle it has a center 0 0 and itamp;#39;s tangent to a line 3x - 4 y = 10 this problem has a lot going on here so letamp;#39;s do a quick analysis and see how we go about finding solutions to this type of problem all right so analysis looks something like this first of all you need a picture a picture is worth a th words so here what I have is I took this line thatamp;#39;s given I went about find the two intercepts basically I just need two points and the easy two points of course is if I get zero in here I get - 10 over4 thatamp;#39;s one point if I put a zero for y I get the other points having those two points A and B Iamp;#39;m able to draw the line over here from the line I can see all right so I have a circle uh oranging is the center and then I need to go tangent to the line obviously we need uh to find the