# Find the equation

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

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