The midpoint of the straight line joining and is
So, for the locus of M, we have
Eliminate t and you have the Cartesian equation for the locus of M.
I'm stuck on yet another problem...
The point P(acost, bsint) on the ellipse with the equation:
x^2/(a^2)+y^2/(b^2)=1
is joined to the point A (a.0) and M is the mid-point of AP. As t varies, find a cartesian equation of the locus of M.
Can anyone help please?