lingkaran x²+y²+6x+8y+p=0 melalui titik (1,1) berapa jari² nya
Matematika
iyolah
Pertanyaan
lingkaran x²+y²+6x+8y+p=0 melalui titik (1,1) berapa jari² nya
1 Jawaban
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1. Jawaban intanpaku
pada titik (1,1) -> 1² + 1² + 6.1 + 8.1 +p = 0
-> 1 + 1 + 6 + 8 + p =0
-> 16 +p = 0
-> p = -16
pers: x² + y² + 6x + 8y -16 = 0
A= 6, B = 8, C = -16
R =[tex] \sqrt{ \frac{1}{4} A^{2} + \frac{1}{4} B^{2} - C} [/tex]
R =[tex] \sqrt{ \frac{1}{4} 6^{2}+ \frac{1}{4} 8^{2}-(-16) } [/tex]
R = √(9+16+16) = √41