Question

Find the equation of the ellipse which passes through the point (4, 1) and having its foci at (±3, 0).

Answer 1

Let the equation of the required ellipse be

Given that ellipse passing through the points (4, 1)

So, point (4, 1) will satisfy the eq. (i)

Taking point (4, 1) where x = 4 and y = 1

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

Since the square of a real number cannot be negative. So, this is not possible