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If an angle between the line,  and the plane, x−2y−kz=3 is cos−1  then a value of k is:

(a)

 

(b)

 

(c)

 

(d)

 



Question ID - 57295 | SaraNextGen Top Answer

If an angle between the line,  and the plane, x−2y−kz=3 is cos−1  then a value of k is:

(a)

 

(b)

 

(c)

 

(d)

 

1 Answer
127 votes
Answer Key / Explanation : (c) -

 DR's of line are 2, 1, −2

normal vector of plane is  – 2  – k

sin  =

sin  =                 …(1)

cos  =                        …(2)

(1)2 + (2)2 = 1 ⇒ k2 =

127 votes


127