What is the asymptotes of (x^2)/3-(y^2)/3 =1 ?

The asymptotes of (x^2)/3-(y^2)/3 =1 is y=x,\quad y=-x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

asymptotes of (x^2)/3-(y^2)/3 =1

asymptotes

\frac{x ^{2}}{3} - \frac{y ^{2}}{3} = 1

y = x, y = - x

Solution steps

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

Calculate Hyperbola properties

\frac{x ^{2}}{3} - \frac{y ^{2}}{3} = 1 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 3, b = 3

y = \frac{3}{3} (x - 0) + 0, y = - \frac{3}{3} (x - 0) + 0

Refine

y = x, y = - x

x^{2} - y^{2} = 4 x

- 16 x^{2} + 9 y^{2} + 96 x - 90 y - 63 = 0

- 4 x^{2} + y^{2} = 16

\frac{x ^{2}}{64} - \frac{y ^{2}}{144} = 1

\frac{x ^{2}}{4} - \frac{y ^{2}}{25} = 1

What is the asymptotes of (x^2)/3-(y^2)/3 =1 ?
The asymptotes of (x^2)/3-(y^2)/3 =1 is y=x,\quad y=-x