If the point $\mathrm{P}\left(x_1, y_1\right)$ lying on the curve $y=x^2-x+1$ is the closest point to the line $y=x-3$ then the perpendicular distance from P to the line $3 x+4 y-2=0$ is

• A

  $\frac{16}{5}$
• B

  4
• Correct answer
  C

  1
• D

  $\frac{7}{5}$

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