Why is Indian rupee is stable against the USD even though most other currencies weakening? The Indian Rupee (INR) seems fairly stable against the USD (1 USD = 62-64 INR) in the recent times even though most other currencies have weakened against USD, some by 20-30%. Apparently, INR is responsive to most other currencies these days except the USA. Is it related to the strength of the Indian economy, or that INR has already fallen to its lowest point well before other currencies?
That is because India maintains strong economic relations with the United States. In addition, India might be looking at maintaining a fixed currency with the US. In exchange, India would have to give up Monetary Autonomy, or Free Flow of Capital. 

As far as I know, India does not restrict the flow of capital to and from the country, so I assume that most policies are more government related when it comes to the US (although the new bilateral agreement is to work to reduce that). Overall, India's strong economic relations with the United States and a tied trade allows them to maintain growth. 

In fact, recently with numerous trade agreements, I wouldn't say India has reached it's lowest point (that would be a few years ago), but is rather trying to secure a very high peak for the next 5-10 years.