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NEST2023MathematicsApplication of Derivatives

For a, b R , with a 0 , let N(a, b) denote the number of elements in the set x R x+a x=b . Then

Options

  1. AN(a, b)=1 for all a, b .
  2. Bthere does not exist any a such that N(a, b)=1 for all b .
  3. CN(a, b) is finite for all a, b .
  4. Dthere exist a, b such that N(a, b) is infinite.

Correct answer

C. N(a, b) is finite for all a, b .

Step-by-step solution

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