No, I couldn't find about any direct fiber [1] between India and US. But somehow while tracerout'ing, the very next hop after my ISP is a Los Angeles based IP. Another thing to note is that there are three direct fiber connecting India and Singapore but it is not being used by my ISP (BSNL).
My Azure IP shows up in Seattle, yet the connection goes to Amsterdam. What you're seeing is where the owner of the IP is located; that is not necessarily the same as the server.
[1] http://www.submarinecablemap.com/