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AP EAMCET202317 May 2023Morning ShiftMathematicsThree Dimensional GeometryActual

If the extremities of a diagonal of a square are (1,-2,3) and (2,-3,5) , then the length of its side is

Options

  1. A6
  2. B3
  3. C5
  4. D7

Correct answer

B. 3

Step-by-step solution

Let a be the length of the square. Let B (1,-2,3) and D (2,-3,5) aligned & B D= (1-2)^2+(-2+3)^2+(3-5)^2 & B D= 1+1+4 = 6 & In A B D: A B^2+A D^2=B D^2 & a^2+a^2=6 & 2 a^2=6 a^2=3 & a= 3 aligned

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