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Most Important Selected Qs for JEE AdvancedMathematicsTrigonometry

If [ x ] represents the greatest integer less than or equal to x , then which of the following statement is true

Options

  1. A[x]= [x] has no solution
  2. B[x]= [x] has infinitely many solutions
  3. C[x]= [x] possess unique solution
  4. D[x]= [x] for no value of x

Correct answer

B. [x]= [x] has infinitely many solutions

Step-by-step solution

Since, according to option ( A ) , we have aligned & [x]= [x] & [x]=n + ( 4 )= (n+ 1 4 ) aligned Which is not possible, as LHS I and R H S Q^ Hence, [x]= [x] has no solution However, [ x ]= [ x ] [ x ]= n , n I Which is possible when [x]=0 and n=0 0 x 1

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