If the equation of an ellipse is 2x^2 + ...

If the equation of an ellipse is `2x^2 + 3y^2 - 8x + 6y+5=0`, then which of the following is/are true? (A) equation of auxiliary circle is `x^2 + y^2 - 4x + 2y + 2 = 0` (B) equation of director circle is `x^2 + y^2 + 2y=0` (C) the director circle will pass through `(4, -2)` (D) none of these

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