NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 9: Symmetry and Practical Geometry - True or False Questions

Question 60

Think of a ray as a straight path that starts at one point and goes on forever in one direction.

1. A line (or ray) has infinitely many points on it.
2. At any one point on the ray, there is exactly one line that meets the ray at a right angle.

   ( perp )

3. So, if you pick point (P_1) on the ray, you can draw one perpendicular there.

   ( ext{line } ell_1 perp ext{(ray’s line) at } P_1 )

4. Pick a different point (P_2) on the same ray. You can draw another (different) perpendicular there.

   ( ext{line } ell_2 perp ext{(ray’s line) at } P_2 )

5. Because there are infinitely many points (P) on the ray, you can make a new perpendicular at each of those points.

Conclusion: There are infinitely many perpendicular lines to a given ray—one through each point on the ray.