question_answer

x\[y-x+3=0\]is the equation of normal at \[\left( 3+\frac{3}{\sqrt{2}},\frac{3}{\sqrt{2}} \right)\] to which of the following circles                        [Roorkee 1990]

A)            \[{{\left( x-3-\frac{3}{\sqrt{2}} \right)}^{2}}+{{\left( y-\frac{\sqrt{3}}{2} \right)}^{2}}=9\]

B)            \[{{\left( x-3-\frac{3}{\sqrt{2}} \right)}^{2}}+{{y}^{2}}=6\]

C)            \[{{(x-3)}^{2}}+{{y}^{2}}=9\]

D)            \[{{(x-3)}^{2}}+{{(y-3)}^{2}}=9\]