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Question

The value of θ for which the area of the triangle formed by the line xsinθ+ycosθ=4 and the coordinate axis is minimum is
  1. π4
  2. π2
  3. π3
  4. π6


Solution

The correct option is A π4

Area of the OAB
=12×4sinθ×4cosθ=16sin2θ
Area of the triangle will be minimum when 
sin2θ=12θ=π2θ=π4

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