Slightly different kind of a question.

Say you construct an elliptical carrom board and keep the striker on a focus point (see the diagram below) and strike it. Which point on the board is the striker surely going to pass through after rebound irrespective of the angle at which it was struck?

Also, tell us which property of the ellipse lets you arrive at this.

p.s: Although it looks like a math question, it is very much quiz style.

Cracked by: Shrey Goyal , udupendra , Dibyo , Raghuvansh , u2001137 , Jean Valjean , Anand Shankar , Ps , sidsen , Rohan , madhur , Nakul , Krishna , yaksha , duriel , Neeraj , Poornima , Ananth , shrik , sand , p vs np , MGS and Ajay Parasuram.

Shrey Goyal, udupendra, Dibyo, Raghuvansh, u2001137, Jean Valjean, Anand Shankar, Ps, sidsen, Rohan, madhur, Nakul, Krishna, yaksha, duriel, Neeraj, Poornima, Ananth, shrik, sand, p vs np, MGS and Ajay Parasuram