The equation of the circle described on the chord $\;3x+y+5=0\;$ of the circle $\;x^{2}+y^{2}=16\;$ as diameter is :

Question

$(a)\;x^{2}+y^{2}+3x+y-11=0\qquad(b)\;x^{2}+y^{2}+3x+y+1=0\qquad(c)\;x^{2}+y^{2}+3x+y-2=0\qquad(d)\;x^{2}+y^{2}+3x+y-22=0$