A boy named Alex plans to give a rose with a beautiful ring to his sweetheart Rosie.
But Rosie likes a specific kind of rose with a ring such that -
If the rose is considered as a 2-D circle , the ring is a point with coordinates , the power of the point (ring) is '101' with respect to the circle(rose). [2- D Geometry]
Alex collects 5 roses with one ring each with coordinates and opts to select the appropriate rose, which his sweetheart Rosie would like on Valentine's Day.
The collected roses had the following equations:
Rose R :
Rose O :
Rose S :
Rose I :
Rose E :
You have to help Alex to select the right rose for his valentine. Which one will you suggest?
Bonus question: Alex and Rosie are the main romantic characters in a film released in 2014. What is the name of this film?