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AP EAMCET2011MathematicsThree Dimensional Geometry

The ratio in which the line joining (2,-4,3) and (-4,5,-6) is divided by the plane 3 x+2 y+z-4=0 is

Options

  1. A2 : 1
  2. B4 : 3
  3. C-1 : 4
  4. D2 : 3

Correct answer

C. -1 : 4

Step-by-step solution

Let the ratio is : 1 . Equation of plane By section formula, coordinates of P= ( -4 +2 +1 , 5 -4 +1 , -6 +3 +1 ) which lies on the plane 3 ( -4 +2 +1 )+2 ( 5 -4 +1 )+ ( -6 +3 +1 )=4 array lc & -12 +6+10 -8-6 +3=4 +4 & -8 +1=4 +4 & 12 =-3 =-1 / 4 & : 1=-1: 4 array

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