What city is located at 13$^\circ$N, 78$^\circ$E?

Geographical coordinates are a system used to identify precise locations on the Earth's surface. This system uses two numbers: latitude and longitude. Latitude measures the distance north or south of the equator, while longitude measures the distance east or west of the prime meridian, which passes through Greenwich, England.

In the context of Karnataka, the state is located in the southern part of India and is known for its diverse geography, including coastal regions, hills, and plains. The city of Bangalore, also known as Bengaluru, is the capital of Karnataka and is one of the largest and most populous cities in India. It is a major economic and cultural center, known for its contributions to the IT industry and its rich history.

The coordinates for Bangalore are 13°N, 78°E. This means that Bangalore is located 13 degrees north of the equator and 78 degrees east of the prime meridian. These coordinates are unique to Bangalore and distinguish it from other cities in India and around the world.

Understanding the geographical coordinates of cities is important for various reasons, including navigation, urban planning, and geographical studies. For students preparing for competitive examinations, particularly those related to geography and general knowledge, it is essential to be familiar with the coordinates of major cities in India, including Bangalore.

In this question, the coordinates 13°N, 78°E are provided, and the task is to identify the city that corresponds to these coordinates. By comparing the given coordinates with the known coordinates of the cities listed in the options, it is clear that Bangalore is the correct answer. The other cities listed—New Delhi, Chennai, and Hyderabad—have different coordinates, making them incorrect choices.

This question tests the student's knowledge of geographical coordinates and their ability to match these coordinates with the correct city. It is a moderate-level question that requires a good understanding of the geographical layout of India and the specific coordinates of major cities.