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

Question

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 (A) median (B) centroid (C) incentre (D) angle bisector

Tardigrade Admin · Accepted Answer

(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.

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

median

centroid

incentre

angle bisector

(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 $2 : 1$ .

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

median

centroid

incentre

angle bisector

(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.

(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 $2 : 1$ .