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AP EAMCET202419 May 2024Evening ShiftMathematicsStraight LinesActual

If A(1,2,0), B(2,0,1), C(-3,0,2) are the vertices of A B C , then the length of the internal bisector of BAC is

Options

  1. A3 6
  2. B2 14 3
  3. C6 14
  4. D2 6 3

Correct answer

B. 2 14 3

Step-by-step solution

Since, A B= 6 , B C= 26 C A= 24 A D is angle bisector B A C aligned & So, A B B D = A C C D 6 B D = 24 C D C D B D = 2 1 & D ( 4-3 3 , 0, 2+2 3 )= ( 1 3 , 0, 4 3 ) & Now, A D= (1- 1 3 )^2+(2-0)^2+ (0- 4 3 )^2 = 2 14 3 aligned

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