Step 1: Understanding the Concept
A monohybrid cross deals with the inheritance of only one character.
Step 2: Parents used
Both parents must be pure (homozygous) and must differ in one pair of contrasting characters, for example pure tall and pure dwarf pea plants.
Step 3: Compare the options
Impure parents, similar characters, or a parent crossed with its own offspring do not match this definition.
Final Answer:
A monohybrid cross is a cross between two pure parents differing in a single pair of contrasting characters.
\[ \boxed{\text{(A) }\text{two pure parents differing in single pair of contrasting characters}} \]