CBSE Class 11 Geography Chapter 4: Map Projections NCERT Solutions

Reviewed by NCERT Help Editorial Team · Updated on 29 Jul 2026

NCERT Solutions PDF Class 11 PDF

CBSE Class 11 Geography Chapter 4, Map Projections, introduces the crucial concept of transforming the Earth's spherical surface onto a flat map. This chapter explores the inherent challenges and compromises involved, as no single map projection can accurately preserve all properties like area, shape, direction, and distance simultaneously. Students will gain an understanding of the fundamental principles behind various projection types, including Cylindrical, Conical, and Gnomonic projections, and learn about their specific applications and the types of distortions they introduce. The NCERT Solutions provide clear explanations for these concepts, helping students grasp the 'global property' and identify different projections based on their unique characteristics. These solutions aim to build a strong foundation for understanding cartography and effectively preparing for examinations by offering comprehensive answers to all exercise questions.

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Quick info

Board	CBSE
Class	Class 11
Subject	Geography
Session	2026
Language	English
Type	NCERT Solutions
Chapter	4. Map Projections

Chapter summary

Chapter 4 on Map Projections in Class 11 Geography NCERT Solutions explains the necessity and challenges of depicting the Earth's spherical surface on a flat map. It covers the core elements and global properties (area, shape, direction, distance) of map projections, highlighting the inherent distortions. The solutions address various projection types and their suitability, helping students understand why perfect representation is impossible and how different projections prioritize certain properties over others.

Learning outcomes

Understand the concept and necessity of map projections.
Identify the key elements of map projections.
Explain the global properties of map projections: area, shape, direction, and distance.
Recognize the limitations of map projections and why true representation is impossible.
Differentiate between developable and non-developable surfaces in the context of map projections.
Analyze the characteristics and suitability of different map projection types.

Topics covered

Paper topics

Map Projections
Elements of Map Projections
Global Properties (Area, Shape, Direction, Distance)
Limitations of Map Projections
Developable Surfaces
Non-developable Surfaces
Mercator Projection
Simple Cylindrical Projection
Conical Projection
Gnomonic Projection
Cylindrical Equal Area Projection
Polar Zenithal Projection

Important topics

Understanding the impossibility of a perfect map projection
Properties of map projections (Area, Shape, Direction, Distance)
Characteristics and uses of Mercator Projection
Differentiating between developable and non-developable surfaces
Identifying projection types based on distortions

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Questions and Solutions

Question 1

Choose the right answer from the four alternatives given below: A map projection least suitable for the world map:

Mercator
Simple Cylindrical
Conical
All the above

Solution: The correct option is (c) Conical. Conical projections are generally best suited for mapping mid-latitude regions. While they can be adapted for a world map, they often introduce significant distortions, especially in polar areas, making them less suitable than projections like Mercator or certain cylindrical types for a global overview.

Question 2

A map projection that is neither the equal area nor the correct shape and even the directions are also incorrect:

Simple Conical
Polar zenithal
Mercator
Cylindrical

Solution: The correct option is (c) Mercator. While the Mercator projection is known for preserving correct shape and direction locally, it significantly distorts areas, especially towards the poles. Therefore, it is neither an equal-area projection nor does it maintain correct directions globally, and can be considered incorrect in terms of area representation on a world scale.

Question 3

A map projection having correct direction and correct shape but area greatly exaggerated polewards is:

Cylindrical Equal Area
Mercator
Conical
All the above

Solution: The correct option is (b) Mercator. The Mercator projection is a conformal projection, meaning it preserves shapes and angles locally, and therefore directions are correct. However, this accuracy comes at the expense of area, which becomes increasingly exaggerated as one moves from the equator towards the poles.

Question 4

When the source of light is placed at the centre of the globe, the resultant projection is called:

Orthographic
Stereographic
Gnomonic
All the above

Solution: The correct option is (c) Gnomonic. In a Gnomonic projection, the light source is assumed to be at the center of the Earth (the globe). This projection can show great circles as straight lines, but it suffers from rapidly increasing distortion of area and shape away from the center point.

Question 5

Describe the elements of map projection.

Solution: The key elements of a map projection include:

Reduced Earth: Representing the spherical Earth on a smaller, flat surface.
Parallels of Latitude: Lines indicating distance north or south of the equator, which are projected onto the flat surface.
Meridians of Longitude: Lines indicating distance east or west of the Prime Meridian, also projected onto the flat surface.
Gross Property: This refers to the fundamental characteristics the projection aims to preserve, such as area, shape, direction, or distance.

Question 6

What do you mean by global property?

Solution: Global property in the context of map projections refers to the fundamental characteristics of the Earth's surface that a projection attempts to represent accurately on a flat map. The four major global properties are:

Area: The relative size of regions.
Shape: The form of geographical features.
Direction: The bearing between points.
Distance: The length between points.

It is important to note that no single map projection can perfectly preserve all these properties simultaneously.

Question 7

Not a single map projection represents the globe truly. Why?

Solution: It is impossible for any single map projection to represent the globe truly because of the fundamental geometric difference between a sphere and a flat surface. When projecting the Earth's curved surface onto a flat plane, distortions are inevitable. While a projection might accurately preserve one or more properties like area, shape, direction, or distance, it will invariably distort others. For instance, the Mercator projection accurately shows shape and direction but greatly exaggerates areas near the poles. Conversely, an equal-area projection preserves area but distorts shape and direction. Therefore, no projection can maintain all these properties simultaneously without compromise.

Question 8

How is the area kept equal in cylindrical equal area projection?

Solution: In a cylindrical equal area projection, the area of any region on the map is kept proportional to its actual area on the Earth's surface. This is achieved by projecting the globe onto a cylinder that touches it along the equator. Both the parallels of latitude and meridians of longitude are represented as straight lines that intersect at right angles. However, to maintain equal area, the parallels of latitude are spaced further apart as they move away from the equator towards the poles. This results in the poles being represented as lines equal in length to the equator, leading to a significant distortion in the shape of areas, particularly at higher latitudes, where they appear stretched vertically.

Question 9

Differentiate between developable and non-developable surfaces.

Solution: The distinction between developable and non-developable surfaces is crucial in understanding map projections:

Developable Surfaces: These are surfaces that can be flattened into a plane without stretching, shrinking, or tearing. Examples include a cylinder and a cone. Map projections that use these surfaces (like Cylindrical or Conical projections) can be created by conceptually wrapping the surface around the globe and projecting the grid of latitude and longitude onto it.

Non-developable Surfaces: These are surfaces that cannot be flattened into a plane without introducing distortions like stretching, shrinking, or creasing. The surface of a sphere (the Earth) is a prime example of a non-developable surface. Any attempt to represent it on a flat map will inherently involve some form of distortion in area, shape, direction, or distance.

Common mistakes

Confusing the properties of different map projections (e.g., area vs. shape preservation).
Incorrectly identifying projection types based on their described distortions.
Not understanding the fundamental reason why a perfect map projection is impossible.
Misinterpreting the concept of 'developable' and 'non-developable' surfaces.

Revision tips

Focus on understanding the trade-offs between preserving area, shape, direction, and distance in different projections.
Memorize the key characteristics of common projections like Mercator, Cylindrical, and Conical.
Practice identifying which projection is least suitable for a world map or best suited for specific regions.
Review the definitions of 'global property' and 'developable surfaces' for short-answer questions.

Practice MCQs

Q1. Which type of map projection is generally considered least suitable for representing the entire world on a single map due to significant distortions?

Q2. A map projection that compromises on correct area, shape, and direction is:

Q3. Which map projection is characterized by correct direction and shape, but with areas greatly exaggerated towards the poles?

Q4. When the light source is imagined at the center of the Earth (globe), the resulting map projection is known as:

Q5. What is a primary 'global property' that map projections aim to represent accurately?

Frequently asked questions

What is a map projection and why is it needed?

A map projection is a systematic method of transferring the grid of the Earth's spherical surface onto a flat plane. It is needed because a sphere cannot be perfectly represented on a flat surface without distortion.

What are the main 'global properties' that map projections try to preserve?

The four main global properties are the correctness of area, shape, direction, and distances between points.

Why can't a single map projection represent the globe truly?

It's impossible because preserving one property (like area or shape) often leads to distortions in others (like direction or distance). A flat surface cannot perfectly replicate the curvature of a sphere.

What is the difference between developable and non-developable surfaces in map projections?

Developable surfaces, like a cylinder or cone, can be flattened without shrinking or tearing, allowing a grid of latitude and longitude to be projected onto them. Non-developable surfaces, like a sphere itself, cannot be flattened without distortion.

Which map projection is known for preserving shape and direction but exaggerates area at the poles?

The Mercator projection is known for these characteristics. It's useful for navigation but not for accurately showing the relative sizes of countries near the poles.

How can these NCERT solutions help in exam preparation?

These solutions provide clear, rewritten answers to all exercise questions, explaining concepts like projection properties and types in detail, which aids in understanding and memorization for exams.

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