Can This LAZY Cockroach Find The Shortest Path ? #jeeadvanced

What is the Shortest Path a Cockroach Reach its Destination? #jeeadvanced 0:00 Cockroach Problem 16:14 Latex Work and Website Walkthrugh A lazy cockroach sits at point C. Its destination is point D. There is just one problem… It is only allowed to crawl along: the tangent line PC, the circumference of a circle, and the tangent line PD. The challenge: What is the shortest possible route it can take? At first glance, this looks like a complicated geometry problem involving tangents, arcs, and distance minimization. But hidden beneath the diagram is a surprisingly elegant geometric idea that transforms the entire problem. In this video, I not only solve the problem step-by-step, but also share my complete LaTeX workflow used to create the final mathematical presentation.