Identifying series and parallel connections

[gracy]

A wire is a equivalent to a zero valued resistance

Wires will always be there in a circuit,then this means all the circuits short circuited.Of course not,what am I missing?

 

[gracy]

I now understand how tha answer came out to be $\frac{3C}{4}$
But I am still facing difficulty in comprehending the following

A wire is a equivalent to a zero valued resistance. The parallel pair on the right was shorted by the wire going over/around it.

 

[gneill]

Wires will always be there in a circuit,then won't this all the circuits are short circuited?Of course not,what am I missing?

Go back to the discussion of what a "short circuit" means. It means a bypass (either intentional or accidental) of a normal circuit path. Wires (paths) that are supposed to be there to interconnect components are just doing what they were meant to do.

In the circuit under discussion two of the capacitors are bypassed by a wire. Whether this was intentional (i.e. a "trick" for you to discover) or an accident (the author of the problem made a mistake) cannot be known for sure, but because it is not a proper situation to have for a practical circuit (why would one design a circuit with parts that do nothing?) we call that path a short circuit: the subcircuit comprising the two capacitors is shorted. Current will not flow in that subcircuit due to the bypass.