Additional information
Thank all experts for the replies.
I saw it when I was having my lunch. It was also far away.
The back of the bird is brown in color just like a common buzzard. I am not good at sizing a flying raptor at a far distance but its size seemed to fall between a common buzzard to a peregrine falcon. It circled around for a few seconds and glided beyond my eye sight. When it was circling, it maked some short bursts of flapping with a frequency just like a common kestrel. Thanks all of you.