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Question

If the line, x32=y+21=z+43 lies in the plane, lx+my-z = 9, then l2+m2 is equal to 


  1. 18

  2. 26

  3. 2

  4. 5


Solution

The correct option is C

2


Since , the line x32=y+21=z+43 lies in the plane lx+myz=9, therefore we have 2lm3=0  [ normal will be perpendicular to the line ]
    2lm=5.....(i)and         3l2m+4=9 [ point (3,2,4) lies on the plane ]
     3l2m=5         (ii)
On solving Eqs. (i) and (ii), we get
l=1 and m=1
 l2+m2=2

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