Settlement

Presumably you are a Hindu, if so, the second marriage is void during subsistace of marriage where you are separated but not divorced.  The partner (not wife) has no legal right to claim alimony, however, children born out of such relation have equal right as of the wife and children born out of your marriage. 

Now it is bargaining power of partners to pay or not to pay any amount, which cannot be claimed as a matter of right.

You have willfully done wrong. Now, you want to take advantage of your own own wrongdoing to the detriment of your partner. 

It is well settled in law as well equity that the wrong-doer cannot seek any advanatge of his wrondoing.

There is a variety of queries posted by author, which makes them as fabricated queries as observed from his profile, some of them are:

posted a new topic in forum Settlement

replied to a topic in forum Pre marriage agreement 

replied to a topic in forum In-laws stopping me travel abroad 

replied to a topic in forum False case after 2yrs of decree 

replied to a topic in forum False case after 2yrs of decree 

replied to a topic in forum Mutual divorce and alimony payment 

replied to a topic in forum My sister is pregnant with her boyfriend despite her divorce case is pending in the court 

replied to a topic in forum Obtaining caste certificate 

replied to a topic in forum Affidavit for gold seeking in middle of divorse case 

replied to a topic in forum False rape allegations 

More 

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The settlement between you and the second wife is a private affair.

Your second marriage admittedly is null and void, however you may have to pay maintenance to her and the child.