tentukan persamaan garis singgung lingkaran x^2+y^2-2x-4y-4 = 0 sejajar garis 4x+3y-100 = 0

Persamaan Lingkaran

x² + y² - 2x - 4y - 4 = 0
(x - 1)² + (y - 2)² = 4 + 1² + 2² = 9

sejajar 4x + 3y - 100 = 0

P ,= (a,b) = (-2,3)
m = -4/3
r = 3

y - b = m(x - a) ± r√(1 + m²)
y - 3 = -4/3 (x + 2) ± 3 . 5/3
3y - 9 = -4x - 8 ± 15
3y = -4x + 1 ± 15

PGSL_1
3y + 4x = 1 + 15
4x + 3y = 16 ✔

PGSL_2
4x + 3y = 1 - 15
4x + 3y = -14 ✔