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Question

The plane rn=q will contain the line r=a+λb, if-

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

The correct option is C bn=0,an=q
Normal of the plane rn=q is n and direction ratio of the line r=a+λb is b
Since, line lies in the plane, normal and direction ratios should be perpendicular.
Therefore, bn=0
Also position vector a should lie on plane rn=q
Therefore, an=q
Ans: C

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