The standard hyperbolic equation with focus on the x-axis, imaginary axis length of 12 and eccentricity of 54 is () A. x264−y2144=1B. x236−y264=1C. y264−x216=1D. x264−y236=1

The standard hyperbolic equation with focus on the x-axis, imaginary axis length of 12 and eccentricity of 54 is () A. x264−y2144=1B. x236−y264=1C. y264−x216=1D. x264−y236=1

According to the meaning of the question, we can know that 2B = 12, the solution is b = 6 & nbsp; ① and because the eccentricity e = CA = 54 & nbsp; ② according to the properties of hyperbola, we can get A2 = c2-b2; ③ from ①, ②, ③, A2 = 64, so the standard equation of hyperbola satisfying the meaning of the question is: x264 − & nbsp; y236 = 1, so we choose D