A-Level Maths Specification

AQA 7357

Section C: Coordinate geometry in the \((x,y)\) plane

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#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.

Straight lines

#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.

Circles

#C3

Understand and use the parametric equations of curves and conversion between Cartesian and parametric forms.

Parametric equations

#C4

Use parametric equations in modelling in a variety of contexts.

Parametric modelling