For the conditions of the equilibrium of the body, i.e. the rigid body only the external forces defines the equilibrium. And the support reactions only cancels out the rotation part of the body.
(a) The first part of the statement is false and other part is true
(b) The first part of the statement is false and other part is false too
(c) The first part of the statement is true and other part is false
(d) The first part of the statement is true and other part is true too
The question was posed to me in unit test.
My enquiry is from Conditions for a Rigid-Body Equilibrium topic in portion Equilibrium of a Rigid Body of Engineering Mechanics