tolong banget di bantu, bakal dapat point nih, please bantu banget ya. pakai caraa
Matematika
aisyah990
Pertanyaan
tolong banget di bantu, bakal dapat point nih, please bantu banget ya. pakai caraa
1 Jawaban
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1. Jawaban Anonyme
jawab
x² + y² -2x + 4y - 3= 0
(i)Ry=x
x= y'
y =x'
x²+y² - 2x + 4y - 3 --> bayangannya y² + x² - 2y+ 4x - 3= 0
atau x² + y²+ 4x - 2y - 3= 0
(ii)Ry=-x
x = - y'
y = - x'
x² + y²+ 4x - 2y - 3 =0 bayangan (-y)² +(-x)²+ 4(-y) -2(-x) -3 =0
atau y²+ x²- 4y + 2x - 3= 0
atau x² + y² + 2x - 4y - 3= 0
(iii) D[(1,2) , (-2)
x' = k(x- a)+ a
y' = k(y-b) + b
x' = -2(x -1) + 1
x' = -2x+3
2x= 3 - x'
x = 1/2 (3 - x')
y' = -2(y-2) + 2
y' = -2y + 6
2y = 6 - y'
y = 1/2(6 - y')
x² + y² + 2x - 4y - 3 = 0 bayangannya
(1/3 (3 - x'))² + ((1/2(6-y'))² + 2(1/3(3-x)) - 4(1/2(6-y')) -3 =0
1/9(3-x)² + 1/4(6-y)² + 2/3 (3-x) - 2(6-y) - 3 = 0
1/9 (9- 6x + x²) + 1/4 (36-12y+y²) + 2- 2/3x -12 + 2y - 3 = 0
1 - 3/2 x + 1/9 x² + 9 - 3y + 1/4 y² + 2 - 2/3 x -12 + 2y - 3= 0 ...kali 36
1/9 x² + 1/4 y² - 13/6 x -y -3= 0 .....kali 36
4x² + 9y² - 78x - 36y - 108 = 0