Question: Space curve on a 3d plane connecting 2 points

Dear all, is there a maple call to calculate the space curve connecting two points of a 3d plane?

e.g. the plane is defined by: f(x,y) = -x^2/9 + y^2/4

The two points are: P = (1,2,0), Q=(1,-1,0)

Searched: space curve laying on 3d plane connecting the two points.

Thanks

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