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AP EAMCET2007MathematicsFunctions

If Q denotes the set of all rational numbers and f ( p q )= p^2-q^2 for any p q Q , then observe the following statements. I. f ( p q ) is real for each p q Q II. f ( p q ) is a complex number for each p q Q . Which of the following is correct?

Options

  1. ABoth I and II are true
  2. BI is true, II is false
  3. CI is false, II is true
  4. DBoth I and II are false

Correct answer

C. I is false, II is true

Step-by-step solution

Given, f ( p q )= p^2-q^2 , for p q Q If p < q , then f ( p q ) is not real.

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