Question

2. Tentukan garis singgung parabola ; (y-2)^2=2(x-4) yang bergradien 3

Answer 1

Verified answer

Jawab:

Kurv dan garis singgung

Penjelasan dengan langkah-langkah:

i) y² = 3x  --> p = 3/4

garis singgung y = mx + p/m melalui (3,3)

3 = m(3)  + (3/4) /m

3 = 3m + 3/(4m)  ...kalikan (4m)

12m = 12m²  + 3

12m² -12m + 3= 0

4m² - 4m + 1= 0

(2m  - 1)² = 0

m = 1/2

gasing  y = mx + p/m

y = 1/2 x + 3/(4. 1/2)

y = 1/2 x + 3/2 ...kali 2

2y = x + 3  atau x - 2y + 3= 0

2) (y - 2)² = 2 (x - 4)

p = 2/4 = 1/2   bergrdien  m = 3

gasing  --> y = b + m(x - a) + p/m

y = 2 + 3 (x - 4) + (1/2)/ (3)

y = 2 + 3x -12 + 1/6  ...kali 6

6y = 12 + 18 x - 72 + 1

6y = 18 x - 59

18x -6y - 59= 0