These Indian scammers are insidious, but most of them are not skilled hackers. If you let someone from India take over your computer, a malware scan is in order, but odds are that you do not have a new virus. There are exceptions, one of the most common being that the scammer got frustrated with your reluctance to give him or her a credit card or bank routing number and went ahead and deleted some of your personal files as an act of vandalism. Less likely (because it requires skill) would be to run some malware on your computer. The latter scenario is possible but not probable.
The primary goal of Indian scammers is to impress you with their ability to take over your computer and move the mouse around, showing you what are completely normal activities and logs (e.g., MSCONFIG, Event Viewer, CMD-TREE) and to falsely characterize them as indicating that your computer is infected or otherwise malfunctioning. It is like the scams that used to happen at oil change places, where they show naive car owners a very dirty air filter, making a case that the car owner's air filter needs replacement.
You know the saying "fool me once, shame on me...", well forget that, no shame on you. And don't let others shame you for allowing yourself to fall victim to this. Sadly, the world we live in includes this kind of victimization.