13.2.2 - Distance Formula
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Practice Questions
Test your understanding with targeted questions
Calculate the distance between the points (3, 4) and (7, 1).
💡 Hint: Use the Distance Formula.
If A is (2, 2) and B is (5, 5), can you find the distance between A and B?
💡 Hint: What do the coordinates tell you about the distance?
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the time complexity of the brute-force method to find the closest pair of points?
💡 Hint: Think about how many pairs you would check.
Statement: The Distance Formula assumes points have the same coordinates to start. True or False?
💡 Hint: What does the formula require for its application?
1 more question available
Challenge Problems
Push your limits with advanced challenges
Consider a set of points: (1, 3), (2, 9), (3, 6), (5, 1), and (7, 8). Apply the divide and conquer method to find the closest pair, detailing your steps.
💡 Hint: Remember to only focus on points near the boundary; many distances might not apply.
Given ten random points in a 2D-plane, devise a strategy using the concepts from this section to find the closest pair in the least amount of time.
💡 Hint: Efficiency in reducing the search space is crucial.
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