A hyperbola with the same asymptote as x ^ 2 / 4 - y ^ 2 = 1 is A.y^2/4 - x^2=1 B.x^2/16 - y^2/8=1 C.x^2/4 - y^2=-2 D.x^2/4 + y^2=1

A hyperbola with the same asymptote as x ^ 2 / 4 - y ^ 2 = 1 is A.y^2/4 - x^2=1 B.x^2/16 - y^2/8=1 C.x^2/4 - y^2=-2 D.x^2/4 + y^2=1

Analysis: the asymptote equation of hyperbola X & sup2 / A & sup2; - Y & sup2 / B & sup2; = 1 is X & sup2 / A & sup2; - Y & sup2 / B & sup2; = 0. The hyperbola group with the same asymptote is X & sup2 / A & sup2; - Y & sup2 / B & sup2; = m, m ≠ 0