Answer:
Option A,B,D
Explanation:
Let us take V_{P}=0 .Then potentials acrosds R_{1}, R_{2} and R_{3} are as shown in figure(ii)
In the same figure.

i1 +i2 =i3
\therefore \frac{V_{1}-V_{0}}{R_{1}}+\frac{0-V_{0}}{R_{2}}=\frac{V_{0}-(-V_{2})}{R_{3}}
Solving this equation we get,
V_{0}=\frac{\frac{V_{1}}{R_{1}}+0-\frac{V_{2}}{R_{2}}}{\frac{1}{R_{1}}+\frac{1}{R_{2}}+\frac{1}{R_{3}}}
Current througfh R2 will be zero if
V_{0}=0\Rightarrow\frac{V_{1}}{V_{2}}=\frac{R_{1}}{R_{2}}
In options (a),(b), and (d) this reaction is satisfied