Practice Mapping to Ordered Pairs - 17.6.2 | 17. Module No#08 | Discrete Mathematics - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the midpoint of the points (2, 4) and (4, 6)?

💡 Hint: Use the midpoint formula: ((x1 + x2)/2, (y1 + y2)/2).

Question 2

Easy

How many even/odd combinations exist when evaluating coordinates?

💡 Hint: Consider parity for x and y coordinates.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What principle is used to guarantee that among 5 points, at least two share the same category?

  • Pigeonhole Principle
  • Midpoint theorem
  • Integer mapping

💡 Hint: Think of categorizing items.

Question 2

True or False: The midpoint of (1,3) and (3,5) is an integer.

  • True
  • False

💡 Hint: Calculate it to verify.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given 5 different integers in the range of 1 to 10, show how you can always find two that sum up to 11.

💡 Hint: Chart out the pairs and check how they fit.

Question 2

Constructively prove that with any selection of 6 integers from 1 to 12, at least two integers will share the same parity.

💡 Hint: Think about how many students can fit into the same two chairs.

Challenge and get performance evaluation