For the hyperbola

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

For the hyperbola x29−y216=1\dfrac{x^{2}}{9}-\dfrac{y^{2}}{16}=1, which of the following represents its asymptotes? (a) y=±169xy=\pm\dfrac{16}{9}x (b) y=±34xy=\pm\dfrac{3}{4}x (c) y=±43xy=\pm\dfrac{4}{3}x (d) y=±916xy=\pm\dfrac{9}{16}x

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