is there is any Chinese visa office in Chennai or in Tamil nadu?

You need to go to the CVASC office in New Delhi. If you don't plan to stay for a long time in China, I suggest you apply for an L type entry permit with the following documents: a valid passport, a photocopy of the passport, a properly filled application form glued with your recently taken color bare-headed photo, an invitation letter from your daughter, a personal statement, and your work certificate or bank statement of the latest six months.