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KVPY2016MathematicsTrigonometric Equations

X= x R: ( x)= ( x) . The number of elements in X is -

Options

  1. A0
  2. B2
  3. C4
  4. Dnot finite

Correct answer

A. 0

Step-by-step solution

( x)= ( x) ( 2 x )= ( x) x=n +(-1)^ n ( 2 + x ), n I x x=n +(-1)^ n 2 , n I As LHS [- 2 , 2 ] , and it does not satisfies RHS So No solution possible

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