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Question

A triangle ABC is given by A(2, 5), B(-1, -1), C(3, 1). The equation of median drawn on BC from A, is:
  1. 2X + Y - 9 = 0
  2. 5X - Y - 5 = 0
  3. 3X + Y = - 9
  4. None of these


Solution

The correct option is B 5X - Y - 5 = 0
Median will be the line through A and mid - point of BC i.e., (1, 0).
Hence, equation of the line through (2, 5) and (1, 0) will be
Y5=(05)(12)×(X2) or 5XY5=0

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