Nuclear hormone receptors are transcription factors that control gene expression by directly binding to DNA and recruiting additional proteins called coactivators and corepressors. Despite being transcription factors, they are often called receptors because they bind hormones.

Yes.

Explanation:

Yes, Nuclear hormone receptors is also responsible for binding hormones due to presence of Ligands. Ligands bind to and activate nuclear receptors such as lipophilic substances such as endogenous hormones, vitamins A and D, and xenobiotic endocrine disruptors. The first role of Nuclear hormone receptors are the control of gene expression by directly binding to DNA and its second role is binding of hormones.

b.