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AP EAMCET202420 May 2024Evening ShiftMathematicsStraight LinesActual

If O (0,0,0), A (3,0,0), B (0,4,0) form a triangle then the incentre of triangle OAB is

Options

  1. A(0,1,0)
  2. B(0,1,1)
  3. C(1,0,1)
  4. D(1,1,0)

Correct answer

D. (1,1,0)

Step-by-step solution

O =0, a =3 i , b =4 j aligned & h = | AB | O +| OB | a +| OA | a | AB |+| OB |+| OA | & h = 12 i +12 j 5+4+3 = i + j Incentre =(1,1,0) aligned

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