I'm having some problems with these exercise
find the equation of the ellipse with center at (3,1) , one vertex at (1,1) , passing through ( 2,1 + sqrt (3/2)).
thanks in advance!
the ellipse equation
$\displaystyle \frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1$
$\displaystyle since...(h,k),,the...center...they...gave..you..th e..center$
you can find a with this statement "one vertex at (1,1)" and you know that the center is "(3,1)" when you find a and substitute a and the center in the equation then you have just one variable "b" you can find it try..
best wishes