Show that every normal to the curve will always pass through the point (0,0).
I have no idea how to approach this question. Could someone explain it to me please?
Thank you!
If you are allowed to demonstrate this graphically, you'll see that the function is a circle with center at the origin and radius a.
So at every point on the circle, the normal (line perpendicular to the tangent at point (a, f(a))) , will pass through the origin.