The distinction between Kuchipudi and Bharatanatyam primarily lies in their unique features and stylistic elements. Kuchipudi incorporates spoken dialogues and emotive storytelling as integral components, which adds a theatrical aspect to the performance, while Bharatanatyam focuses primarily on expressive dance and intricate footwork without the inclusion of dialogue. Therefore, statement 1 is correct, as it accurately describes a fundamental aspect that distinguishes Kuchipudi from Bharatanatyam. Conversely, statement 2 is incorrect; the practice of dancing on a brass plate is associated with Kuchipudi, not Bharatanatyam, highlighting a further differentiation within these classical dance forms. This understanding is essential for cultural studies and enhances appreciation for India's diverse dance heritage, which is relevant for UPSC aspirants studying Indian arts and culture.