pgsl

lingkaran

L : [M,4|]

pusat M(45° , √8)

x = √8 cos 45°

x = √8 × 1/2 √2

x = 1/2 × √16

x = 2

y = √8 sin 45°

y = 2

pusat M(2,2) , jari-jari r = 4 :

(x - a)² + (y - b)² = r²

(x - 2)² + (y - 2)² = 16

titik P(6,6) diluar lingkaran

persamaan garis kutub

(6 - 2)(x - 2) + (6 - 2)(y - 2) = 16

4x + 4y - 16 = 16

x + y = 8

y = 8 - x ... (1)

substitusikan pers (1) ke pers lingkaran

(x - 2)² + (8 - x - 2)² = 16

x² - 4x + 4 + 36 - 12x + x² = 16

2x² - 16x + 24 = 0

x² - 8x + 12 = 0

(x - 2)(x - 6) = 0

x = 2 atau x = 6

PGSL 1

x = 2 → y = 8 - x = 6

(x1 - 2)(x - 2) + (y1 - 2)(y - 2) = 16

(2 - 2)(x - 2) + (6 - 2)(y - 2) = 16

4y - 8 = 16

y = (16 + 8)/4

y = 6

PGSL 2

dg cara yg sama

x = 6