What will be the equation of asymptotes of a conjugate hyperbola if the equation of hyperbola $\frac{x^{2}}{49} - \frac{y^{2}}{9} = 1$

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Solution

Equation of asymptotes for hyperbola $\frac{x^{2}}{49} - \frac{y^{2}}{9} = 1 is y = \pm \frac{3}{7} x$

To Find: Equation of asymptotes for conjugate hyperbola.

We know that, the equation of asymptotes of a conjugate hyperbola are same as that of a standard hyperbola.

Hence, the asymptotes equations will be $y = \pm \frac{3}{7} x$ .

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Q. What will be the equation of asymptotes of a conjugate hyperbola if the equation of hyperbola

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What will be the equation of asymptotes of a conjugate hyperbola if the equation of hyperbola x249−y29=1

Equation of asymptotes for hyperbola x249−y29=1 is y=±37x To Find: Equation of asymptotes for conjugate hyperbola. We know that, the equation of asymptotes of a conjugate hyperbola are same as that of a standard hyperbola. Hence, the asymptotes equations will be y=±37x.

What will be the equation of asymptotes of a conjugate hyperbola if the equation of hyperbola $\frac{x^{2}}{49} - \frac{y^{2}}{9} = 1$