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MHT CET202210 Aug 2022Evening ShiftMathematicsStraight LinesActual

If A (5,1, p), B (1, q, p) and C (1,-2,3) are vertices of the triangle and G (r,- 4 3 , 1 3 ) is its centroid, then the values of p, q, r are respectively

Options

  1. A-1,3, 7 3
  2. B1,3, 7 3
  3. C1,-3, 7 3
  4. D-1,-3, 7 3

Correct answer

D. -1,-3, 7 3

Step-by-step solution

aligned & (r, -4 3 , 1 3 ) ( 5+1+1 3 , 1+q-2 3 , p+p+3 3 ) & r= 7 3 , -4 3 = q-1 3 , 1 3 = 2 p+3 3 & p=-1, q=-3, r= 7 3 aligned

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