Question

how to find the curvature of parabola y^2=4ax at origin

Answer 1

@Yasir_Hussain What is curvature referring to here exactly?

Answer 2

i dont know. i have question to find the curvature of parabola and ellipse.

Answer 3

https://en.wikipedia.org/wiki/Differential_geometry_of_curves#Curvature

Answer 4

https://en.wikipedia.org/wiki/Curvature#Curvature_of_a_graph

Answer 5

Using @oldrin.bataku 's reference, curvature is \[ \kappa = \frac{ |x'y''-y'x''| }{ (x'^{2}+y'^{2)^{3/2}} }\]
Where for a parabola \( y(t)= (t,t^{2})=(x,y)\)
His link has everything you need.