Question

On considère (Cm) l'ensemble des points M(x,y) tel que:
x²+y²-mx+my+2m-2=0 ( m est un paramétre réel )
1) Discuter les valeurs de m dans ]-l'infinie,2[ U ]2;+l'infinie[ la nature de (Cm). On suppose que m n'égale pas 2.
2) a) Montrer que (Cm) est une cercle.
b) déterminer l'ensemble des centres des cercles (Cm) quand m change dans ]-l'infinie,2[ U ]2;+l'infinie[
c) Montrer que tous les cercles (Cm) passent dans un même point A qu'on doit chercher

Answer 1

Maybe if you post it in English we could help you. I took French in High School. Not able to read much of your post but I could guess this is parametrics

Answer 2

We consider (Cm) all points M (x, y) such that: x ² + y ²-mx + my +2 m-2 = 0 (m is a real parameter) 1) Discuss the values ​​of m]-l infinite, 2 [U] 2, + infinite [the nature of (Cm). Assume that m does not equal 2. 2) a) Show that (Cm) is a circle. b) determine the set of centers of circles (Cm) when m changes in] the infinite-2 [U] 2, + infinite [c) Prove that all circles (Cm) pass through the same point A we must seek

Answer 3

Much better, you can edit your question and insert this in there. I think people are not responding because it was in French