Tentukan titik pusat dan jari-jari lingkaran berikut. 1. x2 + y2 = 5 2. x2 + y2 - 4 = 5 3. (x-1)2 + (y+2)2 = 30 4. x2 + (y-4)2 = 15 5. x2 + y2 - 4x - 2y - 31 =
Matematika
yohanesberu99
Pertanyaan
Tentukan titik pusat dan jari-jari lingkaran berikut.
1. x2 + y2 = 5
2. x2 + y2 - 4 = 5
3. (x-1)2 + (y+2)2 = 30
4. x2 + (y-4)2 = 15
5. x2 + y2 - 4x - 2y - 31 = 0
6. 4x2 + 4y2 + 8x - 4y - 10 = 0
7. (x-p)2 + (y-a)2 = 25
8. 2x pangkat 2 + 2y pangkat 2 - 8x + 6y = 20.
bantu yyah.
1. x2 + y2 = 5
2. x2 + y2 - 4 = 5
3. (x-1)2 + (y+2)2 = 30
4. x2 + (y-4)2 = 15
5. x2 + y2 - 4x - 2y - 31 = 0
6. 4x2 + 4y2 + 8x - 4y - 10 = 0
7. (x-p)2 + (y-a)2 = 25
8. 2x pangkat 2 + 2y pangkat 2 - 8x + 6y = 20.
bantu yyah.
1 Jawaban
-
1. Jawaban NaufalAbdulJabar
1. Pusat (0,0)
Jari2= √5
2. Pusat (0,0)
Jari2 = √9 》 3
3. Pusat (1,-2)
Jari2 = √30
4.Pusat ( 0,4)
Jari2 = √15
5. x^2 + y^2 -4x-2y-31=0
x^2 -4x + y^2-2y = 31
(x-2)^2 + (y-1)^2 = 31 + 4 +1
Pusat (2,1)
Jari2 = √36 = 6
6. 4x2 + 4y2 + 8x - 4y - 10 = 0
x^2 + y^2 + 2x - y -10/4 =0
(x+1)^2 + (y-1/2) = 10/4 + 1 + 1/4 =15/4
Pusat ( -1 ,1/2)
Jari2 = √15/4
7.Pusat (p,a)
Jari2 = √25 = 5
8. 2x^2 + 2y^2 -8x + 6y =20
(x-2)^2 + (y+3/2) =10+ 4 + 9/4 = 16 1/4
Pusat (2,-3/2)
Jari2 = √16 1/4