Question

Найдите искомую координаты. 50 БАЛЛОВ!!!

Answer 1

$A(-5;1;-4)\ \ ,\ \ B(-1;5;0)\ \ ,\ \ \ M\in OY\ \Rightarrow \ M(0;y;0)\\\\AM=BM\ \Rightarrow \ \sqrt{5^2+(y-1)^2+4^2}=\sqrt{1^2+(y-5)^2+0^2}\\\\\sqrt{41+(y-1)^2}=\sqrt{1+(y-5)^2}\\\\41+(y-1)^2=1+(y-5)^2\\\\41+y^2-2y+1=1+y^2-10y+25\\\\8y=-16\\\\y=-2\\\\Otvet:\ \ y=-2\ ,\ \ M(\, 0\, ;\, -2\, ;\, 0\, )\ .$