Here fm discriminator and quadrature detection both taking place and in which section?
And what is the function of inductance and capacitance in this circuit?

 

The inductors L1 L2 along with the associated capacitors form a Tank Circuit for tuning the receiver. More information will be available from the forum if you disclose the IC number.

The fm discriminator and quadrature detection details will be available in the IC Datasheet.

 

IC no is CXA1619BS. Using this the fm receiver circuit look like as given above.

 

did you read datasheet:
http://pdf.datasheetcatalog.com/datasheets/208/199184_DS.pdf

 

Are you trying to using cxa1619bs to do a project?

 

yes using in fm receiver .