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Easy

Question

The area bounded by the axes of reference and normal to y equals I o g subscript e end subscript x at the point left parenthesis 1 comma blank 0 right parenthesis is

  1. 1 s q units    
  2. 2 s q units    
  3. fraction numerator 1 over denominator 2 end fraction s q units    
  4. None of these    

The correct answer is: fraction numerator 1 over denominator 2 end fraction s q units


    See Fig 24.26.
    y equals I n x
    fraction numerator d y over denominator d x end fraction equals fraction numerator 1 over denominator x end fraction
    At x equals 1 comma
    slope of normal equals negative 1
    y equals negative 1 left parenthesis x minus 1 right parenthesis
    y plus x equals 1
    Area equals fraction numerator 1 over denominator 2 end fraction cross times 1 cross times 1 equals fraction numerator 1 over denominator 2 end fraction s q units

    Figure 24.26
    Hence, the correct answer is option (c).

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