Step 1: In asymmetric cryptography each user holds a key pair: a public key that anyone can see and a private key kept secret.
Step 2: For confidentiality, a sender encrypts with the receiver's public key, and only the matching private key can decrypt it. So the private key decrypts messages meant for its owner.
Step 3: For authentication, the owner signs a document with the private key, and others verify it with the public key. So the private key also creates digital signatures.
Step 4: Both roles, decryption and signing, belong to the private key. Encrypting for transmission uses the public key, so (B) is wrong. The answer is (C).