If the junction diodes $D_1$ and $D_2$ in the given circuit are ideal, then the forward biased resistance and reverse biased resistance is infinity:
In the circuit, $D_1$ and $D_2$ are in parallel with resistors $R$.
For ideal diodes: forward resistance = 0, reverse resistance = infinity.
If $D_1$ is forward biased (anode at higher potential), it conducts, and $D_2$ is reverse biased (does not conduct).
The voltage across $D_1$ (and parallel branch) is $E$.
Current through $D_1$ branch: Since $D_1$ has zero resistance, the resistor $R$ in series with $D_1$ carries the current.
Total current: $I = \frac{EV}{R} = \frac{E}{R}$ (since $D_2$ branch does not conduct).
Thus, the current is $\frac{E}{R}$.
The answer matches option (4).