Practice Section Formula - 3.6 | 3. Coordinate Geometry | ICSE Class 11 Maths
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3.6 - Section Formula

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

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.

πŸ’‘ 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?

πŸ’‘ Hint: Substitute m and n into the internal section formula.

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?

  • Coordinates of points only
  • Divides segments
  • Coordinates of a dividing point

πŸ’‘ 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

πŸ’‘ Hint: Review the definitions of internal and external division.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

πŸ’‘ Hint: Plug values carefully into the external division formula.

Question 2

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.

πŸ’‘ Hint: Internal formula considers the sum of ratios in the denominator.

Challenge and get performance evaluation