The value of k such that x-4 /1 = y-2/1 = z-k / 2 lies in the plane 2x-4y+z=7 is

Answers (1)

Solution:   Given  ,

             L_1: fracx-41=fracy-21=fracz-k2 hspace0.5cmP: 2x-4y+z=7

   The point   (4,2,k)  through  which it passes must also  lie on the 

  Given plane , 

Hence ,     2	imes4-4	imes 2+k=7Rightarrow k=7.

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