Choose the correct option regarding the triangle △XYZ.
A
P is the circumcentre of the triangle.
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B
P is the centroid of the triangle.
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C
Q is the circumcentre of the triangle.
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D
Q is the centroid of the triangle.
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Solution
The correct option is C Q is the circumcentre of the triangle. The centroid of a triangle is the point where the three medians coincide.
In the given triangle, the medians pass from the vertices.
∴ The point of intersection, i.e., P is the centroid.
The point of intersection of the perpendicular bisectors of the three sides is called circumcentre, i.e., the point Q.