过双曲线\(\dfrac{x^{2}}{a^{2}}-\dfrac{y^{2}}{b^{2}}=1(a>0,b>0)\)的左焦点\(F_{1}\)作\(x\)轴的垂线交双曲线于点\(P\)，\(F_{2}\)为双曲线的右焦点，已知以\(M(2,1)\)为中点的弦交双曲线的右支于\(A\)，\(B\)两点，当\(∠F_{1}PF_{2}=60°\)时，直线\(AB\)的方程为\((\quad)\)
A. \(2x-y-3=0\)
B. \(4x+y-9=0\) C. \(x-4y+2=0\) D. \(4x-y-7=0\)
