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Can elliptic arc (defined as part of an ellipse, with extent not greater than $90˚$) be represented by quadratic Bezier curve?

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    See also [Representing rational quadratic Bezier with non-rational cubic](https://math.stackexchange.com/questions/1948314)2018-07-06

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No. From Computer Aided Geometric Design by T. Sederberg, chapter 2.9 Rational Bezier Curves: "A degree two polynomial Bezier curve can only represent a parabola. Exact representation of circles requires rational degree two Bezier curves."