Penjelasan dengan langkah-langkah:

Pgp

Diberikan :

pL : x²+y²-6x-8y+21 = 0

gP0 : ( -5 , -2 ) [ p = -5 , q = -2 ]

Persamaan garis polar ?

x²+y²-6x+8y-21 = 0

a = -6 ; b = -8 ; c = 21

Titik Pusat Lingkaran

= (-a/2 , -b/2)

= (6/2 , 8/2)

= (3 , 4) [ a = 3 , b = 4 ]

r = √3² + 4² - c)

r = √9+16-21)

r = √4

r² = 4

Maka persamaan garis polar

( p - a )(x - a) + ( q - b )(y - b) = r²

( -5 - 3)(x - 3) + (-2 -4)(y -4) = 4

-5x + 15 -3x + 9 + (-2y + 8 -4y + 16) = 4

-8x + 24 -6y + 24 = 4

-8x - 6y + 48 - 4 = 0

-8x - 6y + 44 = 0 .... kedua ruas bagi -2

4x + 3y - 22 = 0 ✓

Bentuk lainya

y = ⅓(-4x + 22)

3y = -4x + 22