Finding C(x,y) equidistant from multiple points

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  1. Given that C(x, y) is equidistant from each of the points P(1, 5), Q (−5, −3) and R(2, −2), use the distance formula to form two equations in x and y and solve them simultaneously to find the coordinates of C.

I tried to solve the above question but I got (-9,0) which is wrong since the answer is (-2,1)

  1. Given the point A(7, 8), find the coordinates of three points P with integer coordinates such that AP = √5.

I don't understand what to do with this one either. Please send your working out so I can see where I went wrong!