Question

circumcentre of triangle formed by line xy+2x+2y+4=0 aand x+y+2=0 is​

Answer 1

Answer:

The circumcentre of a triangle formed by the lines xy + 2x + 2y + 4 = 0 and x + y + 2 = 0, is. Now, these three line equations make a right angle triangle. Hence, the circumcentre of a triangle will be the midpoint of the hypotenuse. Therefore, the circumcentre of a triangle = (-1, -1).

Answer 2

Step-by-step explanation:

The given equations are xy + 2x + 2y + 4 = 0 and x + y + 2 = 0.

By equating and rewriting a first given equation we can find the value of x= -2 and y=-2

Now, we can form and plot three lines on

the given graph,

X= -2, y=-2, x+y+2=0

Now, we can see that the given triangle is a right triangle.

Hence, the circumcentre of the triangle is the midpoint of the hypotenuse.

That is (-1, -1).