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Question

The angle between the lines xblank c o s blank alpha plus y blank s i n blank alpha blank equals p subscript 1 end subscript and x cos plus y blank s i n blank beta equals p subscript 2 end subscript where alpha greater than beta is

  1. alpha plus beta    
  2. alpha minus beta    
  3. alpha beta    
  4. 2 alpha minus beta    

The correct answer is: alpha minus beta


    We should find the angle between two straight lines
    xcosα+ysinα=p1
    slope=m1=sinαcosα=cotα
    And xcosβ+ysinβ=p2
    slope=m2=sinβcosβ=cotβ
    Therefore, 
    tanθ=tan(αβ)
    θ=αβ

    Hence θ=αβ

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