Paragraph: Consider the parabola $y=x^2+7 x+2$ and the straight line $y=3 x-3$.
Question: What is the shortest distance from the above point on the parabola to the line?

• A

  $\frac{\sqrt{10}}{2}$
• B

  $\frac{\sqrt{10}}{5}$
• Correct answer
  C

  $\frac{1}{\sqrt{10}}$
• D

  $\frac{\sqrt{5}}{4}$

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