Coordinate Geometry

Straight Lines, Conic Sections

Coordinate geometry turns shapes into equations. Once you can move confidently between a curve and its equation, straight lines, circles and the conic sections become a set of connected ideas rather than a list of formulas.

We focus on visualising each problem first — sketching the figure and marking what is known — and then choosing the most direct algebraic route, which saves time and avoids errors in long calculations.

Highlights

• Slope, forms of a line, distance and angle between lines
• Circles, parabolas, ellipses and hyperbolas
• Sketch-first problem solving
• Lines in three-dimensional space