What is the asymptotes of 9x^2-16y^2-18x+64y-199=0 ?

The asymptotes of 9x^2-16y^2-18x+64y-199=0 is y= 3/4 (x-1)+2,\quad y=-3/4 (x-1)+2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

asymptotes of 9x^2-16y^2-18x+64y-199=0

asymptotes

9 x^{2} - 16 y^{2} - 18 x + 64 y - 199 = 0

y = \frac{3}{4} (x - 1) + 2, y = - \frac{3}{4} (x - 1) + 2

Solution steps

y = \pm \frac{b}{a} (x - h) + k

Calculate Hyperbola properties

9 x^{2} - 16 y^{2} - 18 x + 64 y - 199 = 0 :

Right-left Hyperbola with

(h, k) = (1, 2), a = 4, b = 3

y = \frac{3}{4} (x - 1) + 2, y = - \frac{3}{4} (x - 1) + 2

16 y^{2} - 25 x^{2} = 400

x^{2} - y^{2} = 100

5 y^{2} - 16 x^{2} + 400 = 0

- 25 x^{2} + y^{2} = 25

5 x^{2} - 6 y^{2} - 20 x + 12 y - 16 = 0

What is the asymptotes of 9x^2-16y^2-18x+64y-199=0 ?
The asymptotes of 9x^2-16y^2-18x+64y-199=0 is y= 3/4 (x-1)+2,\quad y=-3/4 (x-1)+2