A-mirror-is-designed-so-that-any-ray-of-light-which-hits-one-side-of-the-mirror-and-which-is-parallel-to-a-certain-fixed-line-L-is-reflected-through-a-fixed-point-O-Prove-that-the-mirror-intersects-

Question Number 2129 by Yozzi last updated on 03/Nov/15

A m i r r o r i s d e s i g n e d s o t h a t a n y r a y

o f l i g h t w h i c h h i t s o n e s i d e o f t h e

m i r r o r a n d w h i c h i s p a r a l l e l t o a

c e r t a i n f i x e d l i n e L i s r e f l e c t e d t h r o u g h

a f i x e d p o i n t O . P r o v e t h a t t h e m i r r o r

i n t e r s e c t s a n y p l a n e c o n t a i n i n g L i n

a p a r a b o l a .

I w o u l d a p p r e c i a t e a f o r m a l p r o o f .