bayangan lingkaran x^2+y^2=9 oleh dilatasi [O, 3] adalah

jawab

Dilatasi [O, 3]
(x', y') = (3x,3y)

x'= 3x → x = 1/3x'
y' = 3y → y = 1/3 y'
substitusi ke (x)² + (y)² = 9
(1/3 x')² + (1/3 y')² = 9
1/9 x'² + 1/9 y'² = 9 ..}kali 9
x² + y² = 81