If the equation $x^2-3 a x+a^2-2 a-\mathrm{K}=0$ has different real roots for every rational number $a$, then K lies in the interval

• A

  $0 < K < \frac{4}{5}$
• B

  $-\infty < \mathrm{K} < \frac{4}{5}$
• Correct answer
  C

  $\frac{4}{5} < K < \infty$
• D

  $-\infty < K < \infty$

Hence, the correct answer is option: 'C'.