Q21 of 149 Page 14

Find the circumcentre of the triangle whose vertices are (-2, -3), (- 1, 0), (7, - 6).

Vertices of triangle are A(-2, -3), B(- 1, 0), C(7, - 6)


Let the coordinates of P are (x, y)


PA = PB =PC


PA = PB



On squaring both sides, we get




…………(1)


PA = PC



On squaring both sides, we get




…………(2)


On solving equations (1) & (2), We get


X = 3 and y = -3


Therefore coordinates are (3, -3)


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