Given that

we know that,

We know that,

c² = a² – b²

…(i)

It is also given that Coordinates of foci is on the y – axis

So, Equation of ellipse is of the form

Substituting the value of b² in above eq., we get

…(ii)

Given that ellipse passing through the points (6, 4)

So, point (6, 4) will satisfy the eq. (ii)

Taking point (6, 4) where x = 6 and y = 4

Putting the values in eq. (ii), we get

Substituting the value of a² in eq. (i), we get

Substituting the value of a² and b² in the equation of an ellipse, we get

or 16x² + 7y² = 688