A hyperbola has equation ( x^ 2 a^ 2 - y^ 2 b^ 2 =1 )

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

A hyperbola has equation x2a2−y2b2=1\dfrac{x^{2}}{a^{2}}-\dfrac{y^{2}}{b^{2}}=1. Its eccentricity is 2 and the length of its conjugate axis is 6. What is the length of its transverse axis? (a) 636\sqrt{3} (b) 3 (c) 232\sqrt{3} (d) 6

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