Hi Gaurav,
I think you have’nt notice the ‘ground symbol’ in the circuit diagram.
Whenevr you find such a symbol it means that the potential at that particular point is zero. The potential at that point in the circuit becomes zero only when the Vee equals Vcc.
There was no such ground symbol in the previous case and hence we have assumed that one of the voltage is much larger than the other, but here the case is different.
Now the base is at zero potential and the emitter is at negative potential (lower potential compared to base), hence the emitter base junction is forward biased.