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Robot 1 starts from (3, 0) and traces a path by repeatedly moving 5 units to the right and then 5 units upward. Robot 2 starts from (7, 0) and repeatedly moves 5 units to the right and then 3 units downwards. Will the paths traced by these two robots intersect and if so, where?

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Robot 1 follows the line y = (4/3)x, while Robot 2 follows y = 2(x − 10). Equating them gives 2x − 20 = (4/3)x, which solves to x = 30 and y = 40. Their paths intersect at (30, 40).

Ganita Manjari Part 2 Class 9 Maths chapter 13 question answer

Class 9 Maths Ganita Manjari Part 2 chapter 13 Two Variables, One Line solutions

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1 Answer

  1. The paths will not intersect. Robot 1 starts at (3, 0) and moves upward into the first quadrant, having y = x − 3 > 0 for all x > 3. Robot 2 starts further right at (7, 0) and moves downward, having y = −(3/5)(x − 7) ≤ 0 for all x ≥ 7. Because Robot 1 is always strictly positive where Robot 2 travels, the two traced paths never meet.

     

    For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 13 Two Variables, One Line Question Answer (2026-27)

    https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-13/

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