If a line L passing through the point $\mathrm{A}(-2,4)$ makes an angle of $60^{\circ}$ with the positive direction of X -axis in anti-clockwise direction and $\mathrm{B}(p, q)$ lying in the $3^{\text {rd }}$ quadrant is a point on L at the distance of 6 units from the point A, then $\sqrt{p^2+q^2-8 q}=$

• Correct answer
  A

  6
• B

  7
• C

  8
• D

  9

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