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Question

what is meant by concyclic points and circumcircle

what is concentric circle

what is orthocentre

what is centroid

what is circumcentre

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Solution

A set of points is said to concyclic, if they lie on the same circle.

Circles having same centre but different radii are called concentric circle.

The circumcircle is the circle circumscribing the triangle i.e, the circle passing through the vertices of the triangle. The circumcentre is the point of intersection of perpendicular bisectors of the sides of the triangle. It is the centre of the circumcircle.

The centroid is the point of intersection of the medians of the triangle. It divides the medians in the ratio 2 : 1.

The orthocentre is the point of intersection of the altitudes of the triangle.


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