Step 1: Understanding lysosomes.
Lysosomes are membrane-bound organelles that contain enzymes responsible for digesting cellular waste and debris. They are single membrane-bound and originate from the Golgi apparatus.
Step 2: Analyzing the options.
(A) single membrane bound, Golgi apparatus: Correct — Lysosomes are single membrane-bound organelles that originate from the Golgi apparatus, where they are formed and then sent to their destination.
(B) double membrane bound, Golgi apparatus: Incorrect — Lysosomes are single membrane-bound, not double membrane-bound.
(C) double membrane bound, endoplasmic reticulum: Incorrect — Lysosomes are not double membrane-bound and do not originate from the endoplasmic reticulum.
(D) single membrane bound, nucleus: Incorrect — Lysosomes do not originate from the nucleus, but from the Golgi apparatus.
Step 3: Conclusion.
The correct answer is (A) single membrane bound, Golgi apparatus, as lysosomes are single membrane-bound and originate from the Golgi apparatus.