HELP FOR CONICS QUESTION FROM TERRY LEE (1 Viewer)

[raymond0318]

P=(acosα, bsinα) and Q=(asecα,btanα).Prove that as α varies the line PQ passes through a fixed point.

 

[hectish]

By using the 2point formulae, you'll end up with a y=mx equation, telling you that PQ must always go through the fixed point, 0,0 or the origin.

btanα - bsinα/ asecα - a cosα = b/a(sinα)

y- btanα = bsinα/a ( x - asecα)

y= bsinα/a (X)