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Theorem 10.1 : Equal chords of a circle subtend equal angles at the centre. Proof : You are given two equal chords AB and CD of a circle with centre O (see Fig.10.13).
Circles Theorem Class 9. In Class 9, students will come across the basics of circles. Here, we will learn different theorems based on the circle’s chord. The theorems will be based on these topics: Angle Subtended by a Chord at a Point. The perpendicular from the Centre to a Chord. Equal Chords and their Distances from the Centre.
You have studied in Class IX that a circle is a collection of all points in a plane which are at a constant distance (radius) from a fixed point (centre). You have also studied various terms related to a circle like chord, segment, sector, arc etc.
Theorem of equal angles subtended by different chords. - If the ang les subtended by the chords of a circle at the center are equal, then the chords are equal.
NCERT Book Class 9 Maths Chapter 9 Circles is here. You can read and download Class 9 Maths Chapter 9 PDF from this page of aglasem.com. Circles is one of the many lessons in NCERT Book Class 9 Maths in the new, updated version of 2023-24.
Theorem 1: straight line drawn from the centre of a circle to bisect a chord which is not a diameter, is at right angles to the chord. Given Data: circle with . The midpoint of AB is M. OM is joined. To Prove: AMO = BMO = 90. 0. Construction: Join AO and BO.
NCERT Solutions for Class 9 Maths Chapter 10 Circles are provided here in PDF format, which can be downloaded for free. The NCERT Solutions for the chapter Circles are included as per the latest update of the CBSE curriculum (2023-24) and have been designed by our expert teachers.
