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MHT CET20192 May 2019Morning ShiftMathematicsThree Dimensional GeometryActual

If G 3 , - 5 , r is centroid of triangle A B C where, A 7 , - 8 , 1 , B p , q , 5 and C q + 1 , 5 p , 0 are vertices of a triangle then values of p , q , r are respectively ________

Options

  1. A6 , 5 , 4
  2. B- 4 , 5 , 4
  3. C- 3 , 4 , 3
  4. D- 2 , 3 , 2

Correct answer

D. - 2 , 3 , 2

Step-by-step solution

Given A 7 , - 8,1 , B p , q , 5 ,C q + 1 , 5 p , 0 And centroid, of ∆ A B C is G 3 , - 5 , r then, p + q + 8 = 9 ⇒ p + q = 1 … (1) and 5 p + q - 8 = - 15 ⇒ 5 p + q = - 7 … (2) and 1 + 5 = 3 r ⇒ r = 2 Solving equation (1) and (2) we get p = – 2 and q = 3

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