Coordinate Geometry Question 138
Question: The circumcentre of a triangle formed by the line $ xy+2x+2y+4=0 $ and $ x+y+2=0 $ is
[Orissa JEE 2005]
Options:
A) (-1, -1)
B) (0, -1)
C) (1, 1)
D) (-1, 0)
Show Answer
Answer:
Correct Answer: A
Solution:
$ xy+2x+2y+4=0 $ …..(i) and $ x+y+2=0 $ ……(ii) from (i) and (ii), $ xy=0\Rightarrow x=y=0 $ Vertices of triangle are $ (-2,0)(0,0)(0,-2) $ (In a right angled triangle circumcentre is mid point of hypotenuse) $ (-1,-1) $ is the circumcircle.
BETA
