Taxi Cab Geometry | IOQM 2021 Problem 27 | Math Olympiad

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IOQM 2021 Problem 27 discussion and solution

A bug travels in the coordinate plane moving only along the lines that are parallel to the 𝑥 axis or 𝑦 axis. Let 𝐴=(−3,2) and 𝐵= (3,−2). Consider all possible paths of the bug from 𝐴 to 𝐵 of length at most 14 . How many points with integer coordinates lie on at least one of these paths?

Problem useful for I.S.I B.Stat B.Math Entrance, CMI Entrance and Math Olympiad
  1. Cheenta Academy for Olympiad & Research
  2. Indian Statistical Institute
  3. Chennai Mathematical Institute
  4. Math Olympiad
  5. RMO
  6. IMO
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Комментарии
Автор

sir can you please suggest me a book for solving quality problems from co ordinate geometry...by the way thanks for these sessions for ioqm..

srinjoysom
Автор

answer to the question:
we cannot reach the crossed dots because to reach their we have to do more than 2 negative displacement which will make the distance travelled greater than 14...

sarvesh_soni