Question

TOLONG DIBANTU. CUMA 3 NOMOR. PAKE CARANYA YAA. MAKASIH SEBELUMNYA

Answer 1

Titik singgung
x^2+y^2 - 8x + 4y + 11 =x^2 + y^2-2x -4y -11
-8x + 2x + 4y + 4y + 11 +11 = 0
-6x + 8 y +22 = 0
6x = 8y +22
x = 8/6 y + 22/6
x = 4/3 y + 11/3

x^2 + y^2 - 8x + 4y + 11 = 0
((4/3 y + 11/3)^2 + y^2 - 8 (4/3y + 11/3) + 4y + 11 = 0
16/9 y^2 + 88/9 y + 121/9 + y^2 - 32/3 y - 88/3 + 4y + 11 = 0
25/9 y^2 + (88/9 - 96/9 + 36/9)y  + (121/9 - 264/9 + 99/9) = 0
25/9 y^2 + 28/9 y - 44/9 = 0
25 y^2 + 28 y - 44 = 0
(25y-22)(y+2) = 0
y = 22/25 atau y = -2
titik singgungnya
jika y = 22/25 maka x = 4/3(22/25 + 11/3) = 88/100 + 44/9 = 792/900 + 440/900
       x = 1232/900 = 308 /225
(308/225, 22/25)
jika y =  -2 maka x = 4/3(-2 + 11/3) = 4/3 x 5/3 = 20/9
(20/9, -2)