The correct answer is (a) Kathak.
Kathak is a classical Indian dance form that originated in the northern Indian state of Uttar Pradesh. It is a highly stylized dance form that is characterized by its intricate footwork, complex rhythms, and expressive facial expressions. Kathak is often performed to the accompaniment of music, such as the tabla and the sitar.
The other options are incorrect because they are not associated with Uttar Pradesh.
(b) Bharatnatyam is a classical Indian dance form that originated in the southern Indian state of Tamil Nadu. It is a graceful and elegant dance form that is characterized by its intricate footwork, complex hand gestures, and expressive facial expressions. Bharatnatyam is often performed to the accompaniment of music, such as the mridangam and the veena.
(c) Odisi is a classical Indian dance form that originated in the eastern Indian state of Odisha. It is a vigorous and energetic dance form that is characterized by its intricate footwork, complex hand gestures, and expressive facial expressions. Odisi is often performed to the accompaniment of music, such as the mridangam and the sarangi.
(d) Kuchipudi is a classical Indian dance form that originated in the southern Indian state of Andhra Pradesh. It is a dramatic and expressive dance form that is characterized by its intricate footwork, complex hand gestures, and expressive facial expressions. Kuchipudi is often performed to the accompaniment of music, such as the mridangam and the veena.