The circumcentre of the triangle from by the lines `xy +2x +2y + 4 =0` and `x +y + 2 =0` , is `:`

Options

A. `(-1,1-)`
B. `(0,-1)`
C. `(1,1)`
D. `(-1,0)`

Answer

A

Explanation

The equation of the sides are the
`xy + 2x + 2y + 4 = 0 and x + y + 2=0`
or ` (x+2)(y+2) = 0 and x+y + 2 = 0`
or,`x+2=0, y + 2=0`

Clearly, `Delta ABC` is a right triangle right angled at C.
So, its circumcentre is the mid-point of hypotenuse AB . Hence
the coordinates of the circumcentre are (-1,-1).