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  4. The locus of a point which is twice as far from each vertex of a triangle as it is from the mid-point of the opposite side is a/an/the

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Q. The locus of a point which is twice as far from each vertex of a triangle as it is from the mid-point of the opposite side is a/an/the

Geometry

Solution:

(i) Recall the concept of medians in a triangle.
(ii) The point of concurrence of medians is the centroid.
(iii) Centroid divides each median in the ratio $2: 1$.