Question

write the equation of the ellipse that has its centre at the origin with focus (0,4) and vertex at (0,7)

Answer 1

the major axis lies along the y-axis, so
a^2 + 4^2 = 7^2
a^2 = 33
a=√33

x^2/33 + y^2/49 = 1

Answer 2

please help me i don't understand