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Mathematics · Grade 11 CAPS

Analytical Geometry

Analytical Geometry is one of 10 topics in the Grade 11 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. Write down the point-gradient form of the equation of a line, using gradient m and point (x1,y1).

Answer: y-y1=m(x-x1) — The point-gradient form is y - y1 = m(x - x1).
Medium

2. Find the equation (in the form y=mx+c) of the line with gradient 3 passing through (2, 5).

Answer: y=3x-1 — y - 5 = 3(x-2), so y - 5 = 3x - 6, giving y = 3x - 1.
Medium

3. Calculate the gradient of the line through A(1, 4) and B(3, 10).

Answer: 3 — m = (10-4)/(3-1) = 6/2 = 3.
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