The circumcentre of the triangle formed by the lines x y+2 x+2 y+4=0 and x+y+2=0 is

Step-by-step solution

The given equation x y+2 x+2 y+4=0 can be rewritten as (x+2)(y+2)=0 or x+2=0 , y+2=0 And also given that x+y+2=0 . On solving the above equations, we get A(-2,0), B(0,-2), C(-2,-2) It is clearly that A B C is right angled triangle with right angle at C . Hence, centre of the circumcircle is the mid point of A B whose coordinates are (-1,-1) .