Find the equations of the tangent and normal to the ellipse x^2+3y^2=2a^2 at the point (a,\frac{a}{\sqrt{3}}).
If the tangent meets the x-axis at P and the normal meets the y-axis at Q, show that PQ touches the ellipse.
Edit:
So I've found the equation of the tangent:
x+y\sqrt{3}=2a ......(1)...