Ayushree
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Is there a similar generalisation for a point on the x-axis?

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Yes, a similar rule applies: the y-coordinate of any point on the x-axis is always 0. These points follow the general form (x, 0), indicating they have no vertical displacement.

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  1. Just as points on the y-axis have an x-coordinate of zero, any point located on the horizontal x-axis will always have a y-coordinate of exactly 0. This occurs because the point is sitting directly on the horizontal line and has not moved up or down. Consequently, the coordinates for any point on the x-axis are always written in the general form (x, 0), where x is the horizontal distance.

     

    For Detailed Solutions:

    Visit NCERT Solutions for Class 9 Ganita Manjari Chapter 1 Orienting Yourself: The Use of Coordinates Question Answer:

    https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-1/

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