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Question

The area of the triangle formed by the coordinate axes and tangent to the curve y=logex at (1,0) is
  1. 1
  2. 2
  3. 12
  4. 32


Solution

The correct option is C 12
Given,
y=logexy=1x
Putting (1,0)
y=1
Equation of the tangent:
y0x1=1y=x1 


Hence, the area of the triangle formed by the coordinate axis and tangent to the curve y=logex at (1,0) is 
12×1×1=12 sq. units

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