Step 1: The octet rule states that atoms tend to complete eight electrons in their valence shell to attain stability.
Step 2: In \(BF_3\), boron has only six electrons in its valence shell, hence it does not satisfy the octet rule.
Step 3: In \(BeCl_2\), beryllium has only four electrons in its valence shell, so the octet rule is not followed.
Step 4: In \(NO_2\), nitrogen has an odd number of electrons, making it impossible to complete an octet.
Step 5: The compounds in options (A), (C), and (D) follow the octet rule for their central atoms.