Manipal MET2011MathematicsPair of Lines
The circumcentre of a triangle formed by the lines x y+2 x+2 y+4=0 and x+y+2=0 , is
Options
- A(0,-1)
- B(-1,0)
- C(1,1)
- D(-1,-1)
Correct answer
D. (-1,-1)
Step-by-step solution
Given lines are x y+2 x+2 y+4=0 ...(i) and x+y+2=0 ...(ii) From Eqs. (i) and (ii), we get x y=0 x=y=0 Vertices of triangle are (-2,0),(0,0),(0,-2) In a right angled triangle circumcentre is the mid-point of hypotenuse. Point (-1,-1) is the required coordinate of the circumcentre.