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Technical Mathematics · Grade 10 CAPS

Analytical Geometry

Analytical Geometry is one of 9 topics in the Grade 10 Technical Mathematics CAPS syllabus, covered across 3 lessons on Study Vault. Below are real practice questions from this topic with full worked answers.

Sample practice questions

Easy

1. The distance formula for two points is really an application of which theorem?

Answer: Pythagoras' theorem — The distance formula applies Pythagoras' theorem to the horizontal and vertical separation between two points.
Easy

2. Find the distance between and .

Answer: 5 — d = sqrt((4-1)^2+(6-2)^2) = sqrt(9+16) = sqrt(25) = 5.
Medium

3. Find the distance between and .

Answer: 5 — d = sqrt((1-(-2))^2+(-1-3)^2) = sqrt(3^2+(-4)^2) = sqrt(9+16) = sqrt(25) = 5.
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