Recently I have read a post which states that it is not right to fast on 10th of Muharram because on that day the army of yazid have fasted as a mark of their victory. Also some say those who fast on this day will see hell close to them and my sis had told me that she has read a post which states that Imam Khamenei also state it as something wrongful. So is it true or not?

https://www.youtube.com/watch?v=mqey9Plc6vQ&feature=share

We do not fast on Ashura rather we abstain from food and drink till after Asr salat without the intention of fasting. This is recommended.