What is the equation of asymptotes of a conjugate hyperbola
$x^{2} - y^{2} = - a^{2}$

y = \pm x

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

y = \pm x^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

y = \pm \sqrt{x}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $y = \pm x$
The equation of asymptotes of given conjugate hyperbola is given by
$y = \pm x .$

Suggest Corrections

Similar questions

Q. Determine the combined equation of asymptotes for the hyperbola

\frac{x^{2}}{25} - \frac{y^{2}}{16} = 1

If the equation of conjugate hyperbola is

\frac{x^{2}}{25} - \frac{y^{2}}{16} = - 1

What is the conjugate hyperbola of the hyperbola
$\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1$

Q. What is the combined equation of the asymptotes of a hyperbola

\frac{x^{2}}{25} - \frac{y^{2}}{16} = 1

Q. What are the equations of the asymptotes of a hyperbola

\frac{x^{2}}{16} - \frac{y^{2}}{9} = 1

Which of the following statements are correct?

1. The particular kind of hyperbola in which the lengths of the transverse and conjugate axis are equal is called an equilateral hyperbola.

2. Eccentricity of equilateral hyperbola = $\sqrt{2}$
3. Equation of pair of asymptotes of rectangular hyperbola $x^{2} - y^{2} = a^{2}$ is $x^{2} - y^{2} = 0$

4. Equation of pair of asymptotes of rectangular hyperbola $x^{2} - y^{2} = a^{2}$ is $x^{2} - y^{2} = - a^{2}$

Join BYJU'S Learning Program

What is the equation of asymptotes of a conjugate hyperbola x2−y2=−a2

The correct option is A y=±xThe equation of asymptotes of given conjugate hyperbola is given by y=±x.

What is the equation of asymptotes of a conjugate hyperbola
$x^{2} - y^{2} = - a^{2}$

The correct option is A $y = \pm x$
The equation of asymptotes of given conjugate hyperbola is given by
$y = \pm x .$