Step 1: Condition for forward and reverse bias.
A diode is forward biased when anode is at higher potential than cathode and reverse biased otherwise.
Step 2: Analysis of diagram (a).
In diagram (a), anode is at $-4\,V$ and cathode is at $-3\,V$.
Since anode is at lower potential, the diode is reverse biased.
Step 3: Analysis of diagram (b).
In diagram (b), anode is at $0\,V$ and cathode is at $-2\,V$.
Since anode is at higher potential, the diode is forward biased.
Step 4: Conclusion.
Diagram (a) is reverse biased and diagram (b) is forward biased.