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Paper 2

ANALYTICAL GEOMETRY
Use a Cartesian co-ordinate system to derive and apply:
(a) the equation of a line through two given points
(b) the equation of a line through one point and parallel or perpendicular to a given line
(c) the inclination of a line.

Clarification

  • Assessment standards from Grade 10 will be assumed knowledge.
  • The concept of collinearity must be understood.
  • Prove properties of polygons using analytical methods.
    For example:
    Prove that the quadrilateral:
    A(–1 ; –2),
    B(–4 ; 2),
    C(1 ; 2) and
    D(4 ; –2)
    is a rhombus.

Use a two-dimensional Cartesian co-ordinate system to derive and apply:
(a) the equation of a circle (any centre);
(b) the equation of a tangent to a circle given a point on the circle.

Clarification

  • All assessment standards from Grade 10 and 11 will be assumed knowledge.
  • Learners are expected to know and be able to use as an axiom:
    "The tangent to a circle is perpendicular to the radius drawn to the point of contact."
  • Concepts such as:
    - Inscribed-centre
    - Circumscribed
    - Incentre
    - Orthocentre
    - Centroid
    will not be examined.