Electrolytes are of two types: Strong electrolytes and Weak electrolytes
Strong electrolytes: These are substances which dissociate almost completely in solution and hence conduct electricity to a large extent.
Example of  Strong electrolytes: Strong acids (HNO3, H2SO4 etc, strong bases (NaOH, KOH) etc and salts (KCl, NaCl) etc.

Weak electrolytes:These are substances which undergo only slight dissociation  in solution and hence conduct electricity to a small extent.
Example of  Weak electrolytes: Weak acids(CH3COOH, H2CO3, HCN etc) and weak bases (NH4OH, Ca(OH)2 etc. 
Strong electrolytes vs Weak electrolytes
Strong Electrolytes vs  Weak Electrolytes

Strong electrolytes
Weak electrolytes
1. Completely dissociated at moderate concentrations
Not completely dissociated at moderate concentrations 
2. Conductance increases with dilution but the increase is only slight.
Conductance increases rapidly with dilution especially near infinite dilution
3. There are strong interionic attraction at moderate concentrations.
Interionic attractions are not strong even at higher concentrations
4. The λm vs √c plot is linear at low concentrations.
Variations of molar conductance with concentration
The λm vs √c plot is not linear even at low concentrations.

Here Lm is λm 

Variations of molar conductance with concentration 

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