If you mean to ask how safe it is to buy mutual funds online, then the answer is it is extremely safe.
This is because most of your brokers and mutual fund houses have been in the industry for eons and they have become brokers and asset management companies after having proven their worth to industry watchdog- Securities and Exchange Board of India (Sebi) and Association of Mutual Funds of India (AMFI)
Both these watchdogs keep a close eye on the developments in the industry so you can be rest assured from the mutual fund houses point of view.
Coming to the technological front, cyber space is filled with pros and cons and one of the con is the scope for fraud. Yes, it is true that too many financial frauds are being facilitated by internet, but with some general caution, you can ensure you don’t fall prey to scamsters. These can be changing your card pins, net banking passwords from time to time, not clicking on suspicious links, etc.