Question

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

• A. $y=-\frac{7}{3}x$
• B. $y=-\frac{3}{7}x$
• C. $y=\frac{3}{7}x$
• D. $y=\frac{7}{3}x$

Answer 1

Answer: (B), (C)

$y=\frac{3}{7}x$

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

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 $y=\pm \frac{3}{7}x$.