设双曲线方程为：x^2/a2-y^2/b^2=1,
将二点坐标代入双曲线方程,
9/a^2-225/16/b^2=1,
256/9/a^2-25/b^2=1,
没有实数解,
焦点在Y轴,
设双曲线方程为：y^2/b^2-x^2/x^2=1,
225/16/b^2-9/a^2=1,(1)
25/b^2-256/9/a^2=1,(2)
(1)*16-(2)*9,
112/a^2=7,
a^2=16,
代入（1）式,225/16/b^2-9/16=1,
b^2=9,
∴双曲线方程为：y^2/9-x^2/16=1.