Practice Section Formula in 3D - 3 | 7. 3D Geometry | (IB) Class 10 Mathematics – Group 5, Geometry & Trigonometry
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What are the coordinates of point P that divides A(1, 2, 3) and B(4, 5, 6) in the ratio 1:2?

💡 Hint: Use the formula P = (mx2 + nx1)/(m+n) for each coordinate.

Question 2

Easy

Given A(0, 0, 0) and B(2, 2, 2), where point P divides the segment in the ratio 1:1, what are the coordinates of P?

💡 Hint: Both coordinates are the same since the ratio is equal.

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 does the Section Formula calculate?

  • Finds distance
  • Divides a line segment
  • Calculates area

💡 Hint: Think about how we find points between two coordinates.

Question 2

If a point P divides the line segment joining A(3, 2, 5) and B(5, 4, 7) in the ratio 1:2, is P closer to A or B?

  • True
  • False

💡 Hint: Evaluate the ratio given.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given two points A(2, 4, 6) and B(10, 14, 18), find point P dividing the segment in the ratio 2:3.

💡 Hint: Remember to add up m+n correctly.

Question 2

How can you find the section point P for A(0, 0, 0) and B(1, 3, 5) in the ratio of 1:1? Show all working steps.

💡 Hint: Simplify each calculation carefully; equal ratios make it straightforward.

Challenge and get performance evaluation