A curve has the parametric equations x=1 - 2p and y = 2/p - 2.
a) Find the equation of the noraml to the curve at the point Q(-1,0).
b) The normal to the curve at the point Q cuts the curve again at the point R. Find the coordinates of point R.

Question

A curve has the parametric equations x=1 - 2p and y = 2/p - 2. 
a) Find the equation of the noraml to the curve at the point Q(-1,0).
b) The normal to the curve at the point Q cuts the curve again at the point R. Find the coordinates of point R.

lxelle · Answer

@perl @phi

tkhunny · Answer

Clarify y(p) = 2/p - 2 = $\dfrac{2}{p} - 2$, as you have written it, or y(p) = $\dfrac{2}{p-2}$.