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Question

The centroid and the orthocentre are coincident for which one of the following triangles?

A
Scalene triangle
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B
Isosceles triangle
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C
Equilateral triangle
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D
Right angled triangle
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Solution

The correct option is B Equilateral triangle
Centroid is point of intersection of medians of a triangle.
Orthocenter is point of intersection of three altitudes of a triangle.
For an equilateral triangle, the centroid and the orthocentre all lie at the same point and hence are concurrent.

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