MN adalah diameter lingkaran dengan koordinat titik pusat P(4,-3).tentukan koordinatnya titik N,jika koordinat titik M(-5,8)

Lingkaran

MN diameter lingkaran
P pusat lingkaran
M(x,y) = (-5,8)
P(x,y) = (4,- 3)

MP = PN
p - m = n - p
2p = m + n
n = 2p - m


[tex]N \left[\begin{array}{ccc}x\\y\end{array}\right] \ = 2 \left[\begin{array}{ccc}4\\-3\end{array}\right] \ - \ \left[\begin{array}{ccc}-5\\8\end{array}\right] \\ N \left[\begin{array}{ccc}x\\y\end{array}\right] \ = \left[\begin{array}{ccc}2(4) + 5 \\2(-3) -8\end{array}\right] \ = \left[\begin{array}{ccc}13\\-14\end{array}\right] [/tex]