question_answer

Length  of the tangent from \[({{x}_{1}},{{y}_{1}})\]to the circle \[{{x}^{2}}+{{y}^{2}}+2gx+2fy+c=0\] is                                                [EAMCET 1980]

A)            \[{{(x_{1}^{2}+y_{1}^{2}+2g{{x}_{1}}+2f{{y}_{1}}+c)}^{1/2}}\]

B)            \[{{(x_{1}^{2}+y_{1}^{2})}^{1/2}}\]

C)            \[{{[{{({{x}_{1}}+g)}^{2}}+{{({{y}_{1}}+f)}^{2}}]}^{1/2}}\]

D)            None of these