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Question

The plane 2x3y+6z11=0 makes an angle sin1(α) with the x-axis. Then the value of α is

(a) 17                      (b) 27(c) 37                       (d) 67 


Solution

Let the acute angle made by the  plane with the x-axis is α and can  be calculated as 
sinα=coefficient of  x(coefficient of  x)2+(coefficient of  y)2+(coefficient of  z)2
=2(22+(3)2+62)= 27
α=sin127
α=27
Ans : (b)
 

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