Let D be the centroid of the triangle with vertices 3 , - 1 , 1 , 3 and 2 , 4 . Let P be the point of…

Let D be the centroid of the triangle with vertices 3,-1 , 1,3 and 2,4 . Let P be the point of intersection of the lines x+3y-1=10 and 3x-y+1=0 . Then, the line passing through the points D and P also passes through the point:
  1. -9,-6
  2. 9,7
  3. 7,6
  4. -9,-7

Solution

Centroid x1+x2+x33,y1+y2+y33

D2,2
Point of intersection P-15,25
Equation of line DP 8x-11y+6=0.

Hence, -9,-6 satisfy above equation.

Asked in: JEE Main 2020 (09 Jan Shift 1)

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