The line y+2x=5 cuts circle C with equation x^2+y^2-4x-6y=12 at two points A(17/5, -9/5) and B(-1,7). Given that p0 and D(3,p) is a point on the circle, find the value of p. Leave your answer in the form a+bSQRTc

Question

The line y+2x=5 cuts circle C with equation x^2+y^2-4x-6y=12 at two points A(17/5, -9/5) and B(-1,7). Given that p>0 and D(3,p) is a point on the circle, find the value of p. Leave your answer in the form a+bSQRTc

phi · Answer

This is asking for the y value of a point (3,p) on the circle.  Just plug 3 in for x in the equation, and solve for y.
(The line and its intersection points seem (are?) irrelevant here)