Practice Distance Between Two Points - 2 | 6. Three Dimensional Geometry | ICSE 12 Mathematics
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Distance Between Two Points

2 - Distance Between Two Points

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Find the distance between points (1, 1, 1) and (4, 5, 6).

💡 Hint: Use the distance formula.

Question 2 Easy

Calculate the distance between (2, 2, 2) and (2, 2, 2).

💡 Hint: Same coordinates means no distance.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the formula to calculate the distance between two points in 3D?

a) √((x₂ - x₁)² + (y₂ - y₁)²)
b) √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)
c) (x₂ - x₁) + (y₂ - y₁) + (z₂ - z₁)

💡 Hint: Consider the dimensions you are working with.

Question 2

The distance between two identical points is ____.

True
False

💡 Hint: Think about the definition of distance.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Find the distance between A(1, 2, 3) and B(4, 6, 8) using the formula. Explain each step taken.

💡 Hint: Pay attention to each coordinate's difference.

Challenge 2 Hard

Two points P(−2, −2, 4) and Q(0, 0, −1) are given. Determine the distance and describe the calculation techniques utilized.

💡 Hint: Ensure correct value entry for each coordinate.

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