Geometry & Mensuration

AdvancedMaths revision

Coordinate Geometry (Advanced)

Use analytic geometry for line relationships, loci and coordinate proofs.

Open calculator

Focus points

✓Work with perpendicular and parallel lines.

✓Derive loci from distance conditions.

✓Prove geometric properties with coordinates.

orin

Orin

The Wise Owl

Guides study flow, revision planning, and calmer focus sessions.

Practice set

Question lineup

Try each question first, reveal a hint when you need one, then check the worked answer. Mark them done as you go — finish the set to claim your chips.

8 revision questions

Question 1FluencyCore

Original practice · Free Online Revision

Skill · perpendicular line

Find the line perpendicular to y=2x−3 through (4,1).

Question 2FluencyCore

Original practice · Free Online Revision

Skill · distance

Find the distance from A(−2,5) to B(4,−3).

Question 3FluencyCore

Original practice · Free Online Revision

Skill · perpendicular bisector

Find the equation of the perpendicular bisector of A(−2,1), B(4,5).

Question 4FluencyCore

Original practice · Free Online Revision

Skill · section formula

Find the point dividing A(1,2) to B(10,8) internally in ratio AP:PB=2:1.

Question 5ReasoningCore

Original practice · Free Online Revision

Skill · coordinate proof

Show that points A(0,0), B(6,2), C(4,8), D(−2,6) form a parallelogram.

Question 6FluencyCore

Original practice · Free Online Revision

Skill · circle equation

Find the equation of the circle with centre (3,−2) and radius 5.

Question 7FluencyCore

Original practice · Free Online Revision

Skill · line-circle intersection

Find intersections of x²+y²=25 with y=3.

Question 8ChallengeStretch

Original practice · Free Online Revision

Skill · locus

Find the locus of points equidistant from A(−2,0) and B(4,0).