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AP EAMCET2006MathematicsThree Dimensional Geometry

If O A is equally inclined to O X, O Y and O Z and if A is 3 units from the origin, then A is :

Options

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

Correct answer

D. (1,1,1)

Step-by-step solution

Since O A is equally inclined to O X, O Y and O Z . Co-ordinates of A are (a, a, a) . Also O A= 3 (a-0)^2+(a-0)^2+(a-0)^2 = 3 3 a^2 = 3 a^2=1 a= 1 Co-ordinates of A are (1,1,1) or (-1,-1,-1) .

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