Question

8.已知椭圆C以坐标原点为中心,坐标轴为对称轴,且椭圆C以抛物线x^2=16y的焦点为焦点,以双曲线

Answer 1

x^2=16y,焦点为(0,4)

y^2/16-x^2/9=1,焦点为(0,5)和(0,-5)

c=4,a=5

b^2=a^2-c^2=9

x^2/9+y^2/25=1