NCERT Exemplar Class 9 Maths Chapter 10: Circles. NCERT Exemplar Solutions for Class 9 Maths Chapter 10 Circles prepare students for their Class 9 exams thoroughly.
Maths problems and solutions for the Class 9 pdf are provided here which are similar to the questions being asked in the previous year’s board.
Contents
- 1 NCERT Exemplar Class 9 Maths Chapter 10: Circles
- 1.1 Main Concepts and Results
- 1.2 Multiple Choice Questions (Solved Examples)
- 1.3 Multiple Choice Questions (Exercise)
- 1.4 Short Answer Questions with Reasoning (Solved Examples)
- 1.5 Short Answer Questions with Reasoning (Exercise)
- 1.6 Short Answer Type Questions (Solved Examples)
- 1.7 Short Answer Type Questions (Exercise)
- 1.8 Long Answer Type Questions (Solved Examples)
- 1.9 Long Answer Type Questions (Exercise)
- 1.10 Answers
- 1.11 Multiple Choice Questions (Exercise)
- 1.12 Short Answer Questions with Reasoning (Exercise)
- 1.13 Short Answer Type Questions (Exercise)
- 1.14 Long Answer Type Questions (Exercise)
NCERT Exemplar Class 9 Maths Chapter 10: Circles
Class 9: Maths Chapter 10 solutions. Complete Class 9 Maths Chapter 10 Notes.
Main Concepts and Results
Circle, radius, diameter, chord, segment, cyclic quadrilateral.
- Equal chords of a circle (or of congruent circles) subtend equal angles at the centre,
- If the angles subtended by the chords of a circle (or of congruent circles) at the centre (or centres) are equal, then the chords are equal,
- The perpendicular drawn from the centre of the circle to a chord bisects the chord,
- The line drawn through the centre of a circle bisecting a chord is perpendicular to the chord,
- There is one and only one circle passing through three given non-collinear points,
- Equal chords of a circle (or of congruent circles) are equidistant from the centre (or centres),
- Chords equidistant from the centre of a circle are equal in length,
- If two chords of a circle are equal, then their corresponding arcs are congruent and conversely, if two arcs are congruent, then their corresponding chords are equal,
- Congruent arcs of a circle subtend equal angles at the centre,
- The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle,
- Angles in the same segment of a circle are equal,
- If a line segment joining two points subtends equal angles at two other points lying on the same side of the line containing the line segment, then the four points are concyclic,
- The sum of either pair of opposite angles of a cyclic quadrilateral is 180 degree.
- If the sum of a pair of opposite angles of a quadrilateral is 180 degree, the quadrilateral is
cyclic.