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Coordinate Geometry

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Topic overview

Lines, circles, parabolas, intersection and tangency

Key concepts

Discontinued; only retained for training on the final historical syllabus scope, and is not a current entrance examination.

Key points

  • ◆Follow the prerequisite knowledge requirements given by the examination body; new concepts may only be used when the question provides sufficient guidance.
  • ◆The examples on this site are training with a limited scope and do not represent full syllabus coverage or official difficulty.

Worked examples

Try each example yourself before checking the explanation.

1Basic examples within scope

The line y=mx+cy = mx + c is tangent to the circle x2+y2=r2x^2 + y^2 = r^2. Which must hold?

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