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Question

The area (in sq. units) of the triangle formed by the coordinate axes and the line x(tanθ)+y(cotθ)=4 where θ(0,π2), is 


Solution

Given line is x(tanθ)+y(cotθ)=4
x4cotθ+y4tanθ=1

So, the area formed by the line and the coordinate axes
=12×|4cotθ×4tanθ|=8

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