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Question

The plane 3x12y+4z=5 makes an angle sin1γ with z-axis. The value of γ is equal to 
  1. 1213 
  2. 513
  3. 45 
  4. 35 


Solution

The correct option is B 513
Let the angle between the plane and z-axis is θ.
Then the angle between the plane and z-axis is given by
cos(π2θ)=532+(12)2+42
sinθ=513
θ=sin1513=sin1γ
γ=513

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