What is the asymptotes of-x^2+y^2=1 ?

The asymptotes of-x^2+y^2=1 is y=x,\quad y=-x

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asymptotes of-x^2+y^2=1

asymptotes

- x^{2} + y^{2} = 1

y = x, y = - x

Solution steps

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

Calculate Hyperbola properties

- x^{2} + y^{2} = 1 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 1, b = 1

y = \frac{1}{1} (x - 0) + 0, y = - \frac{1}{1} (x - 0) + 0

Refine

y = x, y = - x

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

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

x^{2} - 9 y^{2} = 144

9 x^{2} - 16 y^{2} + 36 x + 32 y - 124 = 0

4 x^{2} - 25 y^{2} + 16 x + 50 y - 109 = 0

What is the asymptotes of-x^2+y^2=1 ?
The asymptotes of-x^2+y^2=1 is y=x,\quad y=-x