Question

过双曲线(x^2)-(y^2)=4的焦点且平行于虚轴的弦长是_______

Answer 1

过双曲线(x^2)-(y^2)=4的焦点且平行于虚轴的弦长=2b²/a

双曲线(x^2)-(y^2)=4可化为

x²/4-y²/4=1

a=2,b=2

过双曲线(x^2)-(y^2)=4的焦点且平行于虚轴的弦长=4