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x² + y² + 4x + 4y = p, akan menyinggung sumbu-x jika lingkaran trs menyinggung garis y = 0subtitusikan garis ke pers. lingkaran
x² + 0² + 4x + 4(0) = p
x² + 4x - p = 0
a = 1
b = 4
c = -p
syarat menyinggung. D = 0
D = 0
b² - 4ac = 0
16 - 4(1)(-p) = 0
16 + 4p = 0
4p = -16
p = -4
x² + y² + 4x + 4y = p, akan menyinggung sumbu-x jika lingkaran trs menyinggung garis x = 0
subtitusikan garis ke pers. lingkaran
0² + y² + 4(0) + 4y = p
y² + 4y - p = 0
a = 1
b = 4
c = -p
syarat menyinggung. D = 0
D = 0
b² - 4ac = 0
16 - 4(1)(-p) = 0
16 + 4p = 0
4p = -16
p = -4
jadi lingkran akan menyinggung sumbu-x dan sumbu-y jika p = -4