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AP EAMCET202421 May 2024Evening ShiftMathematicsThree Dimensional GeometryActual

If the plane x-y+z+4=0 divides the line joining the points P (2,3,-1) and Q (1,4,-2) in the ratio l: m , then l+m is

Options

  1. A1
  2. B3
  3. C-1
  4. D4

Correct answer

B. 3

Step-by-step solution

Perpendicular distance of point P(2,3,-1) from x-y+z+4=0 is l= | array c 2-3-1+4 3 array |= 2 3 Perpendicular distance of the point (1,4,-2) from plane aligned & m= | 1-4-2+4 3 |= 1 3 & l m = 2 / 3 1 / 3 = 2 1 l+m=2+1=3 . aligned

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