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MHT CET202124 Sep 2021Evening ShiftMathematicsStraight LinesActual

If G (3,-5, r ) is the centroid of ABC , where A (7,-8,1) , B (p, q, 5), C (q+1,5 p, 0) are vertices of the triangle A B C , then the values of p, q, r are respectively

Options

  1. A-2,3,2
  2. B-4,5,4
  3. C6,5,4
  4. D2,-2,3

Correct answer

A. -2,3,2

Step-by-step solution

A (7,-8,1) ; B ( p , q , 5) and C ( q +1,5 p , 0) are vertices of ABC having centroid G (3,-5, r ) 3= 7+p+q+1 3 ,-5= -8+q+5 p 3 , r= 1+5+0 3 r =2 Solving (1) and (2), we get p=-2, q=3

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