Final answer:
Asymmetric encryption and Public key encryption require private keys to be shared.
Step-by-step explanation:
Asymmetric encryption and Public key encryption are the two types of encryption that require private keys to be shared.
In asymmetric encryption, each participant has a pair of keys: a public key and a private key. The public key is used to encrypt the message, and the private key is used to decrypt it. The private key must be kept secret and shared with trusted parties.
In public key encryption, a user has a pair of keys: a public key and a private key. The public key can be freely distributed, while the private key must be kept secret. The sender encrypts the message using the recipient's public key, which can only be decrypted by the recipient's private key.