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Mathematics X (Sindh Board) · Unit 25: Chords of a Circle

15-Minute MCQ Quiz

Unit 25 · Chords of a Circle

15 randomly selected questions from a bank of 60 · one attempt · 15 minutes on the clock.

Topics covered

  • Circle terminology — chord, diameter, radius, arc, sector, segment, central angle, concentric/congruent circles, and cyclic quadrilaterals
  • Theorem 25.1 — one and only one circle can pass through three non-collinear points, with the circumcentre and real-life applications
  • Theorem 25.2 — a line from the centre bisecting a chord (not a diameter) is perpendicular to it
  • Theorem 25.3 — the perpendicular from the centre of a circle to a chord bisects it, with its corollaries
  • Theorem 25.4 — congruent chords of a circle are equidistant from the centre
  • Theorem 25.5 — chords equidistant from the centre are congruent (the converse of Theorem 25.4)
  • Applying Pythagoras' theorem to find chord lengths, radii, and distances between chords
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