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MHT CET202019 Oct 2020Evening ShiftMathematicsVector AlgebraActual

The point P lies on the line A B , where A (2,4,5) and B (1,2,3) . If z co-ordinate of point P is 3, the its y co-ordinate is

Options

  1. A2
  2. B-2
  3. C-3
  4. D3

Correct answer

A. 2

Step-by-step solution

(C) Equation of line passing through A and B is x-2 1-2 = y-4 2-4 = z-5 3-5 =k ...(say) x-2 -1 = y-4 -2 = z-5 -2 =k Hence coordinates of any point onthis line are (-k+2,-2 k+4,-2 k+5) As per condition given, we have -2 k+5=3 k=1 Hence y coordinate =-2+4=2

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