The condition which is not a barrier method of birth control is the birth control patch. It also controls the birth rate but it is not a barrier.
What do you mean by Birth control?
Birth control may be defined as a method of preventing the fusion of male gametes with egg (ova). Several techniques are used for this activity.
A birth control patch is also used to prevent the chances of pregnancy, but it is generally applied on the skin to release hormones such as Testosterone and Estrogen. While condoms, sponges, and spermicides are barriers.
Therefore, the condition which is not a barrier method of birth control is the birth control patch.
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