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(E-Book) Class X Mathematics: Chapter - 9 (Circle)

Chapter 9


  • Circle is a closed figure of points which are at a constant distance from a fixed points, centre and constant distance is called radius.
  • Two circles are congruent if and only if they have equal radii.
  • Equal chords of a circle subtend equal angles at the centre and conversely.
  • Two arcs of a circle are congruent if their corresponding chords are equal and conversely.
  • The perpendicular drawn from the centre of a circle to a chord bisects the chord.
  • The line drawn through the centre of a circle to bisect a chord is perpendicular to the chord.

Theorem 1. There is one and only one circle passing through three non-collinear points...............