Question

Tolong bantu jawab soal matematika lingkaran​

Answer 1

Persamaan Lingkaran

x² + y² + 5x + 8y + C = 0

Pusat lingkaran

x = -1/2 A = -5/2

y = -1/2 B = -8/2 = -4

P(-5/2 , -4)

Menyinggung garis x = 3

Jari2 = jarak P ke garis (x = 3)

r = 3 - (-5/2) = 11/2

r² = 1/4 A² + 1/4 B² - C

121/4 = 1/4 . 5² + 1/4 . 8² - C

Kedua ruas kalikan (4)

121 = 25 + 64 - 4C

4C = 89 - 121

C = -8