what's the equation of the ellipse that has its center at the origin, the major axis is twice the length of the minor axis and (1, sqrt2) lies on the ellipse?

Question

anonymous · Answer

i don't know how to incorporate the major/minor axis fact...

anonymous · Answer

minor axis=b
major =2b

x^2/(b)^2+(y^2)/(2b)^2=1

putting (1,sqrt(2)

1/b^2+2/(4b^2)=1
3/(2b^2)=1
b^2=3/2
b=sqrt(3/2)

now u can find the equation putting sqrt(3/2) instead of b

anonymous · Answer

oh my gosh! it was that easy... thanks for clarifying!