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Edexcel IGCSE Math A Higher 4.6.HA intersecting chord properties

Edexcel IGCSE Math A Higher 4.6.HA intersecting chord properties
Edexcel IGCSE Math A syllabusMath A 4MA1First assessment 2018

Practise intersecting-chord questions by multiplying the two parts of each chord, forming an equation and solving for the unknown.

How this is tested

  • Form an equation from products of intersecting chord segments inside a circle.
  • Solve for unknown lengths such as x or y after applying the chord product rule.
  • Use the circle diagram to connect chord lengths with angle information when required.

Question 23

Diagram NOT accurately drawn

Diagram NOT accurately drawn

PTR and QTS are chords of a circle.
PT=(3y−5)cmQT=(y+3)cmRT=4x cmST=(x+2)cmP T=(3 y-5) \mathrm{cm} \quad Q T=(y+3) \mathrm{cm} \quad R T=4 x \mathrm{~cm} \quad S T=(x+2) \mathrm{cm}
Find an expression for y in terms of x