The correct answer is Both 1 nor 2.

• The flow of water through well-defined channels is known as ‘drainage’ and the network of such channels is called a ‘drainage system’.
• Discordant drainage
  • A pattern of drainage that bears no relation to the structure of the underlying rock.
  • It can be Superimposed or Antecedent drainage.
• Superimposed Drainage System
  • The drainage pattern developed on rock strata that have been removed by erosion is known as superimposition. 
  • Superimposed Drainage cut deeper through the existing landform and maintain the same path. Hence, Statement 2 is correct.
  • The Superimposed drainage is also known as Epigenetic or Superinduced Drainage.
  • Examples: The Damodar, the Subarnarekha, the Chambal, the Banas, and the rivers flowing at the Rewa Plateau, rivers of the eastern USA and southern France.
• Antecedent Drainage System
  • The drainage pattern was already present before a period of uplift and folding.
  • During an uplift, the rivers were able to cut down at the same rate and so maintain their courses. Hence, Statement 1 is correct.
  • This process is called antecedence and the drainage system thus developed is called antecedent drainage.
  • The Himalayan rivers have antecedent origin i.e. these rivers existed even before the Himalayan ranges were uplifted.
  • Example: The Indus, Satluj, Alaknanda, Gandak, Kosi, Brahmaputra all have an antecedent origin.
  • They run transverse to the mountain ranges cutting deep V-shaped, steep-sided valleys, deep gorges, etc.