Analytical Geometry is one of 9 topics in the Grade 10 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 distance formula for the distance between points A(x1,y1) and B(x2,y2).
Answer: sqrt((x2-x1)^2+(y2-y1)^2) — The distance formula is AB = sqrt((x2-x1)^2 + (y2-y1)^2), derived from the Theorem of Pythagoras.
Easy
2. Calculate the distance between A(1, 2) and B(4, 6).
3. Which theorem is the distance formula derived from?
The Theorem of Pythagoras
The Midpoint Theorem
The Angle Sum Theorem
The Sine Rule
Answer: The Theorem of Pythagoras — The distance formula uses a^2+b^2=c^2 (Pythagoras), where the horizontal and vertical differences form the two legs and the distance is the hypotenuse.
