Article 90 of Constitution of India "Vacation and resignation of, and removal from, the office of Deputy Chairman"
A member holding office as Deputy chairman of the Council
of States-
(a) shall vacate his office if he cease to be a member of
the Council;
(b) may at any time, by writing under his hand addressed to
the Chairman, resign his office; and
(c) may be removed from his office by a resolution of the Council passed by a majority of all the then members of the Council: Provided that no resolution for the purpose of clause © shall be moved unless at least fourteen days' notice has been given of the intention to move the resolution.
Article 91 of Constitution of India "Power of the Deputy chairman or other person to perform the duties of the office of, or to act as, Chairman"
(1) While the office of Chairman is vacant, or during any
period when the vice-President is acting as, or discharging
the functions of, President, the duties of the office shall
be performed by the Deputy chairman, or, if the office of
Deputy chairman is also vacant, by such member of the
council of States as the President may appoint for the
purpose.
(2) During the absence of the chairman from any sitting of
the council of States the Deputy chairman, or, if he is also
absent, such person as may be determined by the rules of
procedure of the council, or, if no such person is present,
such other person as may be determined by the council, shall
act as Chairman.