Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 2.2 Junior Find the answer

The equation of the asymptotes of the hyperbola $\frac{x^2}{9} - \frac{y^2}{16} = 1$ is

Pick one

Solution

Analysis

This question mainly tests the equation of the asymptotes of a hyperbola. Set the equation of the hyperbola equal to $1$ and simplify.

Solution

Set $\frac{x^2}{9} - \frac{y^2}{16} = 1$ , simplifying gives $y = \pm \frac{4}{3}x$ .

Therefore, the correct choice is $\boxed{\text{B}}$ .

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