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Planes in 3D

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Question

If the plane 4(x1)+k(y2)+8(z5)=0 contains the line x12=y24=z53, then  k is

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Solution

If a plane contains the line, then its normal and line are perpendicular 
  4(2)+k(4)+8(3)=0
(i.e.,al+bm+cn=0)
  8+4k+24=0k=8


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