inheritance and rights of an illegitimate child in indian law

In India suppose a muslim man gets a child out of a hindu woman and the woman is already married to a hindu man , what rights does the child and the mother have on the father , if the father is muslim and mother married hindu woman which law will apply, does islamic law comes into action which states that such a child is illegitimate and has no right on the father or will the case will be ruled by hindu law as the mother is hindu, what if the mother goes to court , in your opinion what will be the outcome of this case