Concept:
A monopoly market is characterized by a single seller and no close substitutes for the product. Cross-elasticity of demand measures the responsiveness of the quantity demanded for one good to a change in the price of another good.
Step 1: Evaluate Assertion (A).
By definition, a monopoly exists when one firm is the sole producer of a product for which there are no close substitutes. Thus, that firm controls the entire supply. (A) is correct.
Step 2: Evaluate Reason (R).
In a pure monopoly, there are no close substitutes. This means the cross-elasticity of demand between the monopolist's product and any other product is zero (or very close to it), not negative. A negative cross-elasticity implies the goods are complements. (R) is incorrect.
Step 3: Conclusion.
Assertion (A) is true, but Reason (R) is false.