Analytical Geometry notes

This section is the Grade 11 recap that Grade 12 Paper 2 still uses on every analytical geometry question: the distance of a line segment, the midpoint of a line segment, and the gradient of a line…

This section writes the equation of a straight line. Grade 12 Paper 2 asks you to determine that equation, usually in the form $y=mx+c$. You already have the gradient $m=\dfrac{y_2-y_1}{x_2-x_1}$ from the recap…

This section finds the inclination of a straight line: the angle $\theta$ the line makes with the **positive $x$-axis. Grade 12 Paper 2 asks you to determine** $\theta$ from the gradient $m$, or $m$ from $\theta$. You already…

This section writes the equation of a circle and the tangent at a point of contact. Grade 12 Paper 2 asks you to determine the centre and radius, or the equation of the tangent. You already have…