Question

求满足下列各条件的椭圆的方程：经过点P（-2根号3,1）,Q（根号3,-2）两点的椭圆方程

Answer 1

应增加中心在原点的条件,

设椭圆方程为：x^2/a^2+y^2/b^2=1,

12/a^2+1/b^2=1,(1)

3/a^2+4/b^2=1,(2)

(2)*4-(1)式,

15/b^2=3,

b^2=5,

a^2=15,

则方程为：x^2/15+y^2/5=1.