Question

find the circumcentre of the triangle formed by the straight lines x+y=0, 2x+y+5=0 and x-y=2​

Answer 1

Answer:

Step-by-step explanation:

The given lines

x+y=0.....(1)

2x+y+5=0.....(2)

x-y-2=0.....(3)

solve equ (1)&(2),we get the vertix of A (-5,5)

solve equ (2)&(3),we get the vertix of B (-1,-3)

solve equ (3)&(1),we get the vertix of C (1,-1)

Let the circumcenter of S(x,y) is SA=SB=SC

solve SA=SB (using distance formula),we get

x-2y+5=0.....(4)

solve SA=SC,we get

x-y-2+4=0.....(5)

Solve equ (4)&(5),we get

X=-3 & y=1

Cercumcenter (S)=S(-3,1)