Parametrics

[engineertobe]

The plane 3x + 2y + z = 1 intersects the cylinder x2 + y2 = 9 in an ellipse.

Find the parametric representation of the ellipse.

 

[galactus]

Note that \(\displaystyle x=rcos(t), \;\ y=rsin(t), \;\ r^{2}=x^{2}+y^{2}\)

Can you finish from here?.