Find the coordinates of the circumcentre of the triangle whose sides lie along the lines x = 0, y = 0 and 3x + 2y = 12.
Hint. Circumcentre of a right triangle is the mid-point of its hypotenuse.
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x.........(1)
y.........(2)
Equation = 3x+2y=12
When x is (0) = 3(0)+2y=12
2y=12
y=6
When y is (0) = 3x+2(0)=12
3x=12
x=4
Now take out mid point with help of x and y
x=x1+x2/2
=0+4/2
=4/2
=2
y=y1+y2/2
=0+6/2
=6/2
=3
Therefore the coordinates are(2,3)
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