Heavy police deployment had been made at both the places.
Police used lathicharge to disperse protesting ABVP activists outside his house in Chandigarh and rounded two of them.
The ABVP activists were marching towards the residence of Bansal when police used mild force to disperse them, officials said.
About 10 protesters reached Bansal's residence on Ashoka Road in the national capital around 5 PM and shouted slogans asking him to step down.
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Bansal was not at home when the protest took place.
ABVP protesters were prevented from going upto the gate of Bansal's residence. Delhi police were prepared for a protest with water canons and other equipment.
The protesters were taken into custody and frisked away in a bus by the police.