Given that the moving point P of a (- 3,8) B (7, - 4) satisfies the vector AP * vector BP = 0, then the trajectory equation of point P is
Let: P (x, y)
AP=(x+3,y-8);BP=(x-7,y+4)
Vector AP * vector BP = 0
(x+3)*(x-7)+(y-8)*(y+4)=0
x^2-4x-21+y^2-4y-32=0
x^2+y^2-4x-4y-54=0
(x-2)^2+(y-2)^2=62
P point trajectory equation: (X-2) ^ 2 + (Y-2) ^ 2 = 62
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