All the above mentioned answers are correct but I was still unable to comprehend the type of feedback happened at a particular op-amp. Then, i got through this pdf--> http://cas.ee.ic.ac.uk/people/dario/files/E22/L3-feedback%20amplifiers.pdf
What LvW has mentioned above is accurately correct. In this pdf, the same things are explained. An example for each particular topology has been explained here. It has helped me.. Hope u too find it useful !
If i can summarize what i have learnt, it would be like...
In op-amp , we generally use either i) inverting mode or ii) non-inverting mode
i) In inverting mode, the input and feedback are given to same input node. Here the output voltage is taken (Hence, shunt feedback) and at input the current is sum of input and feedback currents (Hence, shunt connection). Therefore, it is a Current-Controlled-Voltage-Source topology.
ii) In non-inverting mode, the input is given at one node and the output is fed back at another node. Even here, just like before, the output voltage is taken (shunt feedback), but at input the voltage is fed back by the resistor(generally referred as R1) to another node, eventually decreasing the net input voltage (series connection). Therefore, it is a Voltage-Controlled-Voltage-Source topology.
With these two, the remaining two topologies are generally realised by BJT and FETs.
In a BJT, if we implement EMITTER DEGENERATION, ( adding a resistor at the emitter end of a BJT ), then it becomes a Voltage-Controlled-Current-Source topolgy. Since, the emitter current is generally almost equals to Collector Current, the output current is sampled at the emitter resistance which feeds back to input as Voltage drop (One can find it, by writing KVL for input loop).
And similarly for FET is explained there for the remaining Current Controlled Current Source.
Excuse me if something is wrong with my answer, since it is my first answer.
And i would really love if someone can help me with some more examples on these topologies. Thanks.