Matematika

Pertanyaan

tolong banget di bantu, bakal dapat point nih, please bantu banget ya. pakai caraa
tolong banget di bantu, bakal dapat point nih, please bantu banget ya. pakai caraa

1 Jawaban

  • 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