NCERT Exemplar Class 9 Maths Unit 10 Circles

Candidates can download NCERT Exemplar Class 9 Maths Unit 10 from this page. The exemplar has been provided by the National Council of Educational Research & Training (NCERT) and the candidates can check it from below for free of cost. It contains objective, very short answer type, short answer type, and long answer type questions. Along with it, the answer for each question has also been provided. From the NCERT Exemplar Class 9 Maths Unit 10, candidates can understand the level and type of questions that are asked in the exam.

NCERT Exemplar Class 9 Maths Unit 10 Circles

NCERT Class 9 Maths Unit 10 is for Circles. The type of questions that will be asked from NCERT Class 9 Maths Unit 10 are displayed in the below provided NCERT Exemplar Class 9 Maths Unit 10. With the help of it, candidates can prepare well for the examination.

Also Check: NCERT Solutions for Class 9 Maths

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.

Multiple Choice Questions (Solved Examples)

Multiple Choice Questions (Exercise)

Short Answer Questions with Reasoning (Solved Examples)

Short Answer Questions with Reasoning (Exercise)

Short Answer Type Questions (Solved Examples)

Short Answer Type Questions (Exercise)

Long Answer Type Questions (Solved Examples)

Long Answer Type Questions (Exercise)

Answers

Multiple Choice Questions (Exercise)

Short Answer Questions with Reasoning (Exercise)

Short Answer Type Questions (Exercise)

Long Answer Type Questions (Exercise)

Maths Science