You have posted that:
“in my appointment letter one line was mentioned that i can not join any competetor for 24 months.”
It shall be appropriate to show the appointment letter to a competent and experienced labor consultant/ service lawyer specializing in such matters and proceed under expert advice.
A trained legal eye and trained legal mind that has examined all statements and clauses verbatim and the merits can render qualified advice.
Your lawyer can opine on demand of the company to sign other agreements at the time of exit.
It is believed that you have not signed any service agreement to serve for a period of………………………months and you have not separated before the expiry of any such period.
Employee can not be restrained to join any other employer after separation and non compete clause amounts to restraint of lawful profession.
]
An agreement, which restrains anyone from carrying on a lawful profession, trade or business, is void to that extent. Under section 27 of the Indian Contract Act, 1872 agreements in restraint of trade are void.
Indian courts have consistently refused to enforce post-termination non-compete clauses in employment contracts, viewing them as "restraint of trade" impermissible under Section 27 of the Indian Contract Act, 1872, and as void and against public policy because of their potential to deprive an individual of his or her fundamental right to earn a livelihood.
The ‘Non Disclosure’, ‘Confidential Information’ “Database’ may stand as an exception and, its validity, may be upheld in post employment period.
There are many threads on similar subjects which you may find interesting e.g:
https://www.lawyersclubindia.com/forum/Legal-issues-in-joining-client-company-85262.asp#.UffhMNKAqWM
In the meantime you may go thru the attachments.