Generating RSA PrivateKey and PublicKey programmaticallly

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Hi all,

I want to generate public and private key pair programmatically.

However, I have some basic questions.

The key generated using RSA_generate_key_ex  is actually a key pair ,
having both private and public key.
NOw, if I want to extract the public and private keys separately from this
and want to store it in different privatekey.pem and publickey.pem file,
how can I do that programmatically.

Also, when openssl genrsa commandline generates the privatekey.pem, does it
has only private key or also publickey

Thanks & Regards,
Nayna Jain
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