What is the asymptotes of (y^2)/(16)-(x^2)/(256)=1 ?

The asymptotes of (y^2)/(16)-(x^2)/(256)=1 is y= x/4 ,\quad y=-x/4

Popular >

asymptotes of (y^2)/(16)-(x^2)/(256)=1

asymptotes

\frac{y ^{2}}{16} - \frac{x ^{2}}{256} = 1

y = \frac{x}{4}, y = - \frac{x}{4}

Solution steps

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

Calculate Hyperbola properties

\frac{y ^{2}}{16} - \frac{x ^{2}}{256} = 1 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 4, b = 16

y = \frac{4}{16} (x - 0) + 0, y = - \frac{4}{16} (x - 0) + 0

Refine

y = \frac{x}{4}, y = - \frac{x}{4}

x^{2} - 4 y^{2} - 4 x + 24 y - 36 = 0

\frac{y ^{2}}{4} - \frac{x ^{2}}{36} = 1

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

4 y^{2} - 5 x^{2} - 48 y - 10 x + 59 = 0

9 x^{2} - 4 y^{2} - 36 x + 72 = 0

What is the asymptotes of (y^2)/(16)-(x^2)/(256)=1 ?
The asymptotes of (y^2)/(16)-(x^2)/(256)=1 is y= x/4 ,\quad y=-x/4