Hello @kartik,
To directly login to a remote mysql console, use the below command:
mysql -u {username} -p'{password}' \
    -h {remote server ip or name} -P {port} \
    -D {DB name}
For example
mysql -u root -p'root' \
        -h 127.0.0.1 -P 3306 \
        -D local
no space after -p 
It will take you to the mysql console directly by switching to the mentioned database.
Hope it helps!!
Thank you!!