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MHT CET202124 Sep 2021Morning ShiftMathematicsStraight LinesActual

If G( g ), H( h ) and P( p ) are respectively centroid, orthocenter and circumcentre of a triangle and x p +y h +z g = 0 , then x, y, z are respectively.

Options

  1. A1,1,-2
  2. B1,3,-4
  3. C2,1,-3
  4. D2,3,-5

Correct answer

C. 2,1,-3

Step-by-step solution

We know that centroid divides a line joining orthocenter to circumcentre in the ratio 2: 1 . aligned & g = h +2 p 1+2 2 p + h =-3 g & x =2, y =1, z =-3 as per data given. aligned

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