I've already addressed this link How does SSL/TLS work? before I posted my question but I couldn't find there what I'm asking here so it's not a duplicate question.
GeoTrust is a certification authority which issues digitally signed certificates to registered domains. Every year they issue millions of certificates for registered domains. But on issuing a certificate for a domain, does CA also provide private key to that domain for whom the CA certificate is being issued and digitally signed? Do the public and private key for a particular domain match with other domains?
If CA keeps private key as secret while signing the certificate then how servers decrypt symmetric key because public key is used for encryption and private key for decryption and that private key has already been used to digitally sign the CA certificate(Am I wrong?).
In my question I've taken GeoTrust as CA and Google as domain for just an example because I know there are other CAs like VeriSign, Symantec etc.