Nice q :Find Triangle Area

Calculus Level pending

A point A ( x , y ) A (x,y) lies on the curve x y = 1 xy = 1 . Tangents are drawn to the curve at point A A which intersects the coordinate axes at C C and D D . What is the area of triangle Δ O C D \Delta OCD ?

Note : O O denotes the origin.


The answer is 2.

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