Step 1: Understanding apomixis.
Apomixis is a form of asexual reproduction in plants where seeds are produced without fertilization. This results in progeny that are genetically identical to the parent, eliminating segregation of traits.
Step 2: Analyzing the options.
(A) apomictic: Correct — Apomictic seeds result in progeny without genetic segregation.
(B) dicotyledonous hybrid: Incorrect — Dicotyledonous hybrids undergo segregation of traits in the progeny.
(C) monocotyledonous hybrid: Incorrect — Like dicotyledonous hybrids, monocotyledonous hybrids also experience genetic segregation in the progeny.
(D) polyembryonic: Incorrect — Polyembryonic seeds result in multiple embryos, but they still undergo genetic segregation.
Step 3: Conclusion.
The correct answer is (A) apomictic, as apomictic seeds do not undergo genetic segregation.