# How to find if a point lies on an elliptical arc?

I have the equation of ellipse in this form:-

$$\dfrac {((x-xEllipseCenterPoint)\cdot \cos(A)+(y-yEllipseCenterPoint)\cdot \sin(A))^2}{(a^2)}+\dfrac{((x-xEllipseCenterPoint)\cdot \sin(A)-(y-yEllipseCenterPoint)\cdot \cos(A))^2}{(b^2)}=1$$

Note:- Here a and b are width and height of the ellipse respectvely

The above is the equation of my ellipse which is rotated and I have a point which lies on this ellipse but how to check if the point is between 60 degree start angle to 270 degree end angle

Is it possible to derive the equation of the arc from the equation mentioned above?

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