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JEE Math Practice Question

The equation $${x^2} - 4x + [x] + 3 = x[x]$$, where $$[x]$$ denotes the greatest integer function, has :

  1. A.exactly two solutions in ($$-\infty,\infty$$)
  2. B.no solution
  3. C.a unique solution in ($$-\infty,\infty$$)
  4. D.a unique solution in ($$-\infty,1$$)

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