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Multiplication,,,and division...
...........Output is Vo = -Rf/R1 ( Vi)
which means that Output is equal to Rf/Ri times the input......means multiplied the input....also can termed as it divides the input by a factor Ri/Rf....so also the same circuit is termed as divisor...........
Another airthematic operation performed by OPAMP is Comparator......that is to compare the given Voltage with a reference voltage....
.........Vin is applied at positive terminal...and Vref at negative....so when ever Vin < Vref then we get V0 = -Vsat {Saturation voltage)
as Vin > Vref ,,,,,,,,,,we get Vo = +Vsat..
So when the output graph make transition...then at that point the two voltage is compared....i mean you atleast get the knowledge that Vin is more than or Less than Vref....
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Hello dear.......OPAMP....is not in the course of IIT-JEE,,,it is much more advanced topic
And this is the course of third semester....in subject "Analog Device and Circuit"
But you have asked the question so i am submitting the answer....
Following airthematic operation is performed by OPAMP.......
1) Addition
2)Subtraction
3)Multilication.............and when it is used the opam is named as Multiplier...
4.Division.
5)Differentiation............i mean output is in differentiation form of input....
6)Integerator ....Output is in Integration form of input...i mean if u give sin as input...the graph will be cos form
Now submitting the circuit........
Addition.............
The triangular notation is used to define an OPAMP in circuit........
Now how it acts as adder...........
Now considering.......R1=R2=R3=Rf
we have Vo = -(V1+V2+V3)
We are getting - sign,,,,,,because input is given on inverting terminal,,,i.e negative terminal of OPAMP.
The point X is taken at potential zero,,,,,,because it is in virtual short state with respect to positive terminal...Hence both will get same potential.....as positive is grounded so we get Vx = 0,,,,and this is put in the equation.........
2)Subtracter:::
The above figure is for the case when we have to use one OPAMP.........and the below case is by using Two OPAMP .....