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JEE Math Practice Question

Let f be any function defined on R and let it satisfy the condition : $$|f(x) - f(y)|\, \le \,|{(x - y)^2}|,\forall (x,y) \in R$$ If f(0) = 1, then :

  1. A.f(x) can take any value in R
  2. B.$$f(x) < 0,\forall x \in R$$
  3. C.$$f(x) > 0,\forall x \in R$$
  4. D.$$f(x) = 0,\forall x \in R$$

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