1.

The circumcentre of the triangle formed by the lines, `xy + 2x + 2y + 4 = 0 and x + y + 2 = 0` is-A. (0,0)B. (-2,-2)C. (-1,-1)D. (-1,-2)

Answer» Correct Answer - A
The given equation xy+2x+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 `triangleABC` is right angled triangle with right angle at C.
Hence centre of the circumcircle is the mid point of AB whose coordinates are (-1,-1).


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