I would suggest a cyclocross or a comfort road bike with the capacity for larger 700c tires. A bike that can take a 35c or larger tire will be nice if you want to run fenders.
Most important factor is that road bikes with drop handlebars will be more comfortable during longer rides, of 90 minutes or more. The drop style bar provides multiple hand positions ...
We often read here that where cyclists may ride in Delhi road surfaces are very rough. If that is indeed the case, take a road bike only if it can mount wide tyres. At least 28 mm wide, better 35 mm. If the road bike cannot, take the hybrid. Don't forget to consider the cost of such tyres in your decision.
Pot holes and sharp edged debris otherwise cause ...
There are pros and cons to each type of bike:
Road bike advantages (imo):
Less rolling resistance/easier to maintain higher top speed
Easier maintenance in some cases (less paniers, fenders etc. That can get in the way of things
Hybrid bike advantages:
Pre installed fenders (you won't get dirty when riding)
More mounting points ...