Practice Section Formula - 8.7 | 8. Coordinate Geometry | ICSE 9 Mathematics
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Section Formula

8.7 - Section Formula

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What are the coordinates of point P if A(1,1), B(5,5) and P divides AB in the ratio 1:1?

💡 Hint: Using equal ratios means P is the midpoint.

Question 2 Easy

Find coordinates of P given A(0,0), B(2,2) and the ratio is 1:2.

💡 Hint: Remember to use the formula with m=1 and n=2.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the section formula calculate?

Coordinates of midpoint
Coordinates of point dividing line segment
Length of line segment

💡 Hint: Think about what type of problem the formula is used for.

Question 2

True or False: The section formula can be used for points in a three-dimensional space.

True
False

💡 Hint: Recall the dimensions the formula is applicable to.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given A(7,8) and B(-2,-1), find coordinates of point P that divides AB in a ratio of 4:1.

💡 Hint: Use the section formula carefully with m = 4 and n = 1.

Challenge 2 Hard

If points A(0,-3) and B(5,2) are divided by P in a ratio of 2:5, calculate P.

💡 Hint: Apply the section formula to discover the divided coordinates.

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