Facebook on Friday admitted hackers broke into nearly 50 million users' accounts by stealing their "access tokens" or digital keys.
Zuckerberg was asked questions related to how Facebook was planning to tackle on the opioid crisis, data protection, targeted ad system and curbing of terrorist and malicious activities.
Analytica has been accused of harvesting personal information of over millions of Facebook users illegally to influence polls in several countries.
Facebook's chief technology officer Mike Schroepfer made the announcement in a statement announcing the implementation of new privacy tools for users of the huge social network.
Barack Obama made extensive use of the social network in 2008 and stepped up "micro-targeting" in his 2012 re-election effort.
Law Minister Ravi Shankar Prasad had alleged that the Congress was using the services of the London-based political data analytics firm CA.
The BJP questioned links between the Congress and Cambridge Analytica, a data mining firm accused of harvesting personal information from Facebook illegally to influence polls in many countries.
Personality prediction app developer at centre of Facebook data breach says he is being made scapegoat
CA has denied using Facebook data for the Trump campaign and said it had in any case been deleted.
Strong action will be taken if social media sites like Facebook sway electoral process: Union Minister Ravi Shankar Prasad
Prasad said any attempt by social media sites, including Facebook, to influence India's electoral process through undesirable means will not be tolerated.
Reports suggest that even though the account is deleted, the social media giant and apps affiliated with it may still have access to personal data.
EU Justice Commissioner Vera Jourova, who has called the breach "horrifying", was meanwhile to seek clarification from the social media giant during a visit to the United States this week.
Calls for investigations came on both sides of the Atlantic after Facebook responded to the explosive reports of misuse of its data by suspending the account of Cambridge Analytica.