Practice Section Formula (3.6) - Coordinate Geometry - ICSE 11 Maths
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Section Formula

Practice - Section Formula

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Find the coordinates of point R that divides the segment from P(1, 2) to Q(3, 4) in the ratio 1:1.

💡 Hint: Use the internal division formula with m = n.

Question 2 Easy

What is the point R if it divides the segment from P(0, 0) to Q(6, 8) in the ratio 3:1 internally?

💡 Hint: Substitute m and n into the internal section formula.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the section formula calculate?

Coordinates of points only
Divides segments
Coordinates of a dividing point

💡 Hint: Think about what the section formula does in relation to the points.

Question 2

True or False: The external division formula is used to calculate points when dividing segments internally.

True
False

💡 Hint: Review the definitions of internal and external division.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given points P(-3, -2) and Q(4, 1) divides externally in the ratio 3:5, calculate R and explain the steps.

💡 Hint: Plug values carefully into the external division formula.

Challenge 2 Hard

If you have points A(2, 4) and B(10, 6) and R divides AB internally in the ratio 4:1. Find coordinates for R.

💡 Hint: Internal formula considers the sum of ratios in the denominator.

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