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Let the equation x cosec x=p have a solution, where p is a positive real number. What should be the smallest value of p ?

Options

  1. A1 2
  2. B1
  3. C2
  4. DMinimum does not exist

Correct answer

C. 2

Step-by-step solution

aligned & 1 x x =p 2 x x= 2 P & 2 x= 2 P & since -1 1 and P 0 & 2 P 1 P 2 aligned So, smallest value of P is 2 .

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