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JEE Main20244 Apr 2024Morning ShiftMathematicsThree Dimensional GeometryActual

Let the point, on the line passing through the points P(1,-2,3) and Q(5,-4,7) , farther from the origin and at distance of 9 units from the point P , be ( , , ) . Then ^2+ ^2+ ^2 is equal to :

Options

  1. A165
  2. B160
  3. C155
  4. D150

Correct answer

C. 155

Step-by-step solution

P Q line aligned & x-1 4 = y+2 -2 = z-3 4 & pt (4 t+1,-2 t-2,4 t+3) & distance ^2=16 t^2+4 t^2+16 t^2=81 & t= 3 2 & pt (7,-5,9) & ^2+ ^2+ ^2=155 aligned option (1)

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