There are hell lot of ways to buy bitcoin in India. Coinswitch Kuber is a great place to do so. But you have to keep in mind that it requires full kyc to buy from Coinswitch. You can also buy loads of altcoins from there as well.

If you are not much comfortable using Indian exchanges, use localbitcoins which is a company from Finland. There also you will have to do kyc but at least the chaces are less that your kyc info will land to Indian income tax department. Similarly you can use Bisq as well.