Practice Distance Between Two Points - 2 | Chapter 6: Three Dimensional Geometry | ICSE Class 12 Mathematics
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Academics
Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Professional Courses
Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skillsβ€”perfect for learners of all ages.

games

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

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

πŸ’‘ Hint: Use the distance formula.

Question 2

Easy

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

πŸ’‘ Hint: Same coordinates means no distance.

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

  • a) √((xβ‚‚ - x₁)Β² + (yβ‚‚ - y₁)Β²)
  • b) √((xβ‚‚ - x₁)Β² + (yβ‚‚ - y₁)Β² + (zβ‚‚ - z₁)Β²)
  • c) (xβ‚‚ - x₁) + (yβ‚‚ - y₁) + (zβ‚‚ - z₁)

πŸ’‘ Hint: Consider the dimensions you are working with.

Question 2

The distance between two identical points is ____.

  • True
  • False

πŸ’‘ Hint: Think about the definition of distance.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

πŸ’‘ Hint: Pay attention to each coordinate's difference.

Question 2

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

πŸ’‘ Hint: Ensure correct value entry for each coordinate.

Challenge and get performance evaluation