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Question

Line r=a+λb will not meet the plane rn=q, if-

A
bn=0,an=q
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B
bn0,anq
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C
bn=0,anq
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D
bn0,an=q
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Solution

The correct option is C bn=0,anq
Given line is r=a+λb
Substitute it in plane equation r.n=q
We get (a+λb).n=q
a.n+λ(b.n)=q
If b.n=0 and a.nq then the line will not meet the plane
Therefore the correct option is C

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