Explore the locus of the mid-point [i]M[/i] of the tangent [i]AB [/i]through the point [i]P [/i]=([i]a[/i] sin [i]t[/i], [i]b[/i] cos [i]t[/i]) on the ellipse by varying [i]a[/i], [i]b[/i] and the angle [i]t[/i].