Multiple choice

In ?ABC, M is the mid point of BC. Length of AM is 9. N is a point on AM such that MN = 1. Distance of N from the centroid of ?ABC is equal to :

  1. 3

  2. 6

  3. 5

  4. 2

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

In a triangle, the centroid divides the median in ratio 2:1 (from vertex). AM is a median of length 9. The centroid is at distance (2/3) × 9 = 6 from A. Point N is on AM with MN = 1, so N is at distance 9 - 1 = 8 from A. Distance from N to centroid = 8 - 6 = 2.

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