hi Suraj,
With the ULN2003A the 100 ohm resistors are not required on the inputs.
Consider if all the 7 segments are ON, at say 15mA each thats ~100mA, in saturation the gain of Q2 will be around 10, so a Base current of 10mA is required.
The 4k7 base resistor will allow only ~2.3mA so Q2 will not be in saturation, use a 1K5 base resistor, also its good practice to connect a resistor from Base to Emitter of Q2, this provides a leakage current path.
There should also be segment resistors to limit the LED current, one for each segment, say 100R. On the output pins of the ULN
When you say a 9V LED , I dont follow ???
E.