question_answer

Find the locus of point, so that the join of \[\left( -\,5,1 \right)\] and (3, 2) subtends a right angle at the moving point.

A)  \[{{x}^{2}}+{{y}^{2}}+3x-2y-13=0\]

B)  \[{{x}^{2}}+{{y}^{2}}+2x-3y-13=0\]

C)  \[{{x}^{2}}+{{y}^{2}}-2x+3y+13=0\]

D)  \[{{x}^{2}}+{{y}^{2}}-3x+2y+13=0\]

E)  None of these