One of the most magical topics in Ghosh & Maity, Part 2, is the of a family of curves.
The book’s “template” table is a lifesaver during timed exams. differential calculus ghosh maity part 2 pdf
The evolute of a parabola ( y^2 = 4ax ) is a semicubical parabola ( 27ay^2 = 4(x-2a)^3 ). The evolute has a cusp – a sharp point where the center of curvature jumps. This cusp is physically where a caustic forms in a parabolic mirror. One of the most magical topics in Ghosh