Question

若双曲线x²/m-y²/5=1的右焦点与抛物线y²=12x的焦点重合,则此双曲线离心率为

Answer 1

抛物线y²=12x的焦点= (p/2, 0) = (6/2, 0) =(3,0)

c=3

a^2 = m

b^2 = 5

m = 5+c^2 = 5+9 =14

a = √m =√14

e = c/a = 3/√14 = 3√14/14