Let P by point (x,y)
With the use of the distance formula:
(-2-x)2 + (-5-y)2 + (3-x)2 + (1-y)2 = 12
4 + 4x + x2 + 25 + 10y + y2 + 9 - 6x + x2 + 1 - 2y + y2 = 12
2x2 - 2x +2y2 + 10y = -26
Factorise:
2(x2 - x) + 2(y2 + 5y) = -26
Complete the square:
2(x-1)2 + 2(y +5/2)2 = -26 + 1 +25/4...