If $3 x+y-5=0$ is the equation of a chord of the circle $x^2+y^2-25=0$, then what are the coordinates of the midpoint of the chord?

• A

  $\left(\frac{3}{4}, \frac{1}{4}\right)$
• Correct answer
  B

  $\left(\frac{3}{2}, \frac{1}{2}\right)$
• C

  $\left(\frac{3}{4},-\frac{1}{4}\right)$
• D

  $\left(\frac{3}{2},-\frac{1}{2}\right)$

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