Concept:
Indian classical music is broadly divided into two major traditions:
• Hindustani Music -- North Indian classical music
• Carnatic Music -- South Indian classical music
These two systems developed distinct styles, techniques, and traditions over time.
Step 1: Understand the North Indian stream of music.
The classical music tradition followed in North India is known as:
\[
\text{Hindustani Music}
\]
It developed under the influence of:
• Ancient Indian musical traditions
• Persian and Mughal cultural influences
• Regional musical styles
Step 2: Understand the other options.
The remaining options are not correct for the North Indian classical system:
• Banarasi refers to the cultural style associated with Varanasi.
• Maharashtri relates to Maharashtra region.
• Carnatic refers to the South Indian classical music tradition.
Step 3: Identify the correct option.
Since the North Indian stream of music is called Hindustani music, the correct answer is:
\[
\boxed{\text{Hindustani}}
\]
Hence:
\[
\boxed{\mathrm{(C)}}
\]