← Additional Mathematics syllabus

SingaporeAdditional Mathematics

Coordinate Geometry and Circles

3 dot points across 3 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do we find the gradient, length and midpoint of a line segment and write the equation of a straight line?

Find the gradient, length and midpoint of a line segment, and find the equation of a straight line through given points
A focused answer to the N(A)-Level Additional Mathematics outcome on the straight line. Find the gradient, length and midpoint of a segment, and write the equation of a line through given points.
8 min answer →

How do the gradients of parallel and perpendicular lines relate, and how do we use this to find their equations?

Use the gradient conditions for parallel and perpendicular lines to find equations of lines and solve geometry problems
A focused answer to the N(A)-Level Additional Mathematics outcome on parallel and perpendicular lines. Equal gradients for parallel lines, the product of gradients equals negative one for perpendicular lines, and how to find their equations.
8 min answer →

How do we write the equation of a circle and find its centre and radius?

Write the equation of a circle given the centre and radius, and find the centre and radius from a general equation by completing the square
A focused answer to the N(A)-Level Additional Mathematics outcome on circles. The standard form of a circle equation, finding the centre and radius, and converting from the general expanded form by completing the square.
8 min answer →