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AP EAMCET2012MathematicsThree Dimensional Geometry

If x -coordinate of a point P on the line joining the points Q(2,2,1) and R(5,1,-2) is 4 , then the z -coordinate of P is

Options

  1. A-2
  2. B-1
  3. C1
  4. D2

Correct answer

B. -1

Step-by-step solution

Let P divide Q(2,2,1) and R(5,1,-2) in the ratio of m: 1 . P ( 5 m+2 m+1 , m+2 m+1 , -2 m+1 m+1 ) But it is given 5 m+2 m+1 =4 . aligned & 5 m+2=4 m+4 & m=2 & Coordinate of z= -2 2+1 2+1 = -3 3 =-1 aligned

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