If a resistance R2 is connected in parallel with the resistance R in the circuit shown, then possible value of current through R and the possible value of R2 will be

(1) $\frac{I}{3},\text{\hspace{0.17em}}R$

(2) $I,\text{\hspace{0.17em}}2R$

(3) $\frac{I}{3},\text{\hspace{0.17em}}R$

(4) $\frac{I}{2},\text{\hspace{0.17em}}R$

(4) According to the figure, $\left(I-{I}_{1}\right){R}_{2}={I}_{1}R$

Only two values satisfying the above relation are $\frac{I}{2}$ and R

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