Points A and B have coordinates (-1,2) and (4,7) respectively

(a) write down the coordinates of M, the midpoint of AB

(b) calculate the distance AB

(c) The point p lies on the circle with AB as diameter and has coordinates (2, Y) where y is positive. Calculate the value of y giving your answer in surd form

My Ans:

(a)

Mid point: ( -1+7)/2, (2-4) /2 = (3,-1)

Distance MB=

sqrt((7-3)^2+(-4+1)^2= 16+9= 25 = sqrt(25)= 5 But the answer is 10

(c) I am not sure I tried (x-h)^2+ (y-k)^2= r^2 but notgetting