How to find the intersection of a curve and a line?
Eg. find the intersection of y=3x+2 and x^2+2xy+3y^2 +4x+8y-11=0

Question

How to find the intersection of a curve and a line?
Eg. find the intersection of y=3x+2 and x^2+2xy+3y^2 +4x+8y-11=0

dumbcow · Answer

well we could try a direct substitution

plug in "3x+2" for "y" in the curve equation

anonymous · Answer

Yea i know. its a bit too lengthy.
Is there a shorter way?

anonymous · Answer

that is one of the shortest ways, probably the shortest in fact.

you need to practice until you can do it under one. it is possible.

anonymous · Answer

actually i am preparing for  IIT entrance exam where u probably get 3 min for one ques. But this method would take atleast 2 mins just for finding the points. And this is not the fll ques.

anonymous · Answer

@Auxuris  Hmmm. Ok i will try.