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QJEEM19Ma4ee4: JEE Main 2019 Mathematics - Class 11 JEEM19Ma4ee4 Solution: A triangle has a vertex at (1, 2) and the mid points of the two …

A triangle has a vertex at (1, 2) and the mid points of the two sides through it are (–1, 1) and (2, 3). Then the centroid of this triangle is :

Multiple Choice Options

  • A (13,2)\left( {{1 \over 3},2} \right)
  • B (13,53)\left( {{1 \over 3},{5 \over 3}} \right)
  • C (1,73)\left( {1,{7 \over 3}} \right)
  • D (13,1)\left( {{1 \over 3},1} \right)

Step-by-Step Verified Solution

JEE Main 2019 (Online) 12th April Evening Slot Mathematics - Properties of Triangle Question 22 English Explanation
Centroid = (1+3−33,2+0+43)=(13,2)\left( {{{1 + 3 - 3} \over 3},{{2 + 0 + 4} \over 3}} \right) = \left( {{1 \over 3},2} \right)

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