#C1
Understand and use the equation of a straight line, including the forms \(y − y_1 = m(x − x_1)\) and \(ax + by + c = 0\); gradient conditions for two straight lines to be parallel or perpendicular.
Be able to use straight line models in a variety of contexts.
#C2
Understand and use the coordinate geometry of the circle including using the equation of a circle in the form \((x − a)^2 + (y − b)^2 = r^2\); completing the square to find the centre and radius of a circle; use of the following properties:
• the angle in a semicircle is a right angle
• the perpendicular from the centre to a chord bisects the chord
• the radius of a circle at a given point on its circumference is perpendicular to the tangent to the circle at that point.
#C3
Understand and use the parametric equations of curves and conversion between Cartesian and parametric forms.