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

Practice: Section Formula

Lesson 3.6Coordinate Geometry

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8 questions

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6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Find the coordinates of point R that divides the segment from P(1, 2) to Q(3, 4) in the ratio 1:1.
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Use the internal division formula with m = n.
Question 2.
What is the point R if it divides the segment from P(0, 0) to Q(6, 8) in the ratio 3:1 internally?
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Substitute m and n into the internal section formula.
3Question 3.
What does the section formula calculate?
- Coordinates of points only
- Divides segments
- Coordinates of a dividing point
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Think about what the section formula does in relation to the points.
4Question 4.
True or False: The external division formula is used to calculate points when dividing segments internally.
- True
- False
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Review the definitions of internal and external division.
Question 5.
Given points P(-3, -2) and Q(4, 1) divides externally in the ratio 3:5, calculate R and explain the steps.
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Plug values carefully into the external division formula.
Question 6.
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.
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Internal formula considers the sum of ratios in the denominator.

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