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JEE Main202528 Jan 2025Morning ShiftMathematicsThree Dimensional GeometryActual

If the image of the point (4,4,3) in the line x-1 2 = y-2 1 = z-1 3 is ( , , ) , then + + is equal to

Options

  1. A9
  2. B12
  3. C7
  4. D8

Correct answer

A. 9

Step-by-step solution

Let coordinate of R=(2 r+1, r+2,3 r+1) P R is perpendicular to given line. (2 r-3) 2+(r-2) 1+(3 r-2) 3=0 r=1 Coordinate of R=(3,3,4) ( , , )=(2,2,5) + + =9

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