Not a single map projection represents the globe truly. Why?
No single map projection can represent the globe truly because a globe is not a developable surface. When a flat paper is placed over the globe, it will not coincide with it over a large surface without being distorted. The distortion increases with increase in distance from the tangential point.
Moreover, there are four major global properties to be preserved in a map: area, shape, direction, and distances. However, none of the projections can maintain all these properties simultaneously. When the network of parallels and meridians is transferred from the globe to a plane surface, the meridians and parallels transform from circles and semi-circles into intersecting straight lines or curved lines.
Explanation
The textbook context clearly explains that map projections cannot truly represent the globe for two main reasons. First, a globe is spherical (not a developable surface), and a flat paper cannot coincide with it without distortion. Second, the four global properties (area, shape, direction, and distances) cannot all be preserved simultaneously in any single projection. This is a fundamental concept in map projection theory from the NCERT Geography textbook.