Sketch the curve
Here I let a=1
Show that the normal to either branch of the curve at the point (2a,0) meets the curve again at the point where .
From the geometry of the figure i know the statements are true but how do I prove it? Differentiating the equation here and plugging the values of x and y doesn't work here. Is there any other way to find the gradient of the normal, that is if i need to find it?