Eric Nicholas K's answer to LockB's Secondary 4 A Maths Singapore question.

done {{ upvoteCount }} Upvotes
clear {{ downvoteCount * -1 }} Downvotes
Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
This is an example of a scenario where two different random tangents drawn to the curve happens to meet each other at right angles at some point not lying on the curve.

Remember that many tangent lines can be drawn to the curve, and these two lines are just some of them. There is no three-way intersection at a common point this time, so this is not considered a normal to the curve.

However, it is a fact that this line is parallel to the normal line at the other point mentioned in the previous example.