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AP EAMCET20228 Jul 2022Morning ShiftMathematicsVector AlgebraActual

A (2,1,2), B (1,0,0), C(1+ 3 , 3 ,- 6 ) are vertices of a triangle. If the length of the median drawn through A is 9-2 3 +2 6 then =

Options

  1. A4
  2. B3
  3. C2
  4. D1

Correct answer

A. 4

Step-by-step solution

D [ 2+ 3 2 , 3 2 , - 6 2 ] aligned & AD = [2- (2+ 3 ) 2 ]^2+ (1- 3 2 )^2+ (2+ 6 2 )^2 & AD = 1 2 2(2- 3 )^2+(4+ 6 )^2 aligned aligned & AD = 1 2 2(7-4 3 )+22+8 6 & = 1 2 2 9-2 3 +2 6 & = 9-2 3 +2 6 & =1 aligned

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