![]() Let two circles with centres O and O’ intersect each other at points A and B. Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centers is 4 cm. NCERT Solutions for Class 9 Maths Exercise 10.4 Thus, OO’ is the perpendicular bisector of AB. ∴ To prove that OO’ is the perpendicular bisector of AB, Let OO’ and AB intersect each other at M. ∴ AB is the common chord of two circles and OO’ is the line segment joining their centres. We have two circles with centres O and O’, intersecting at A and B. If two circles intersect at two points, prove that their centres lie on the perpendicular bisector of the common chord. Thus, ‘O’ is the required centre of the given drcle. Step IV: Draw the perpendicular bisector, RS of BC such that it intersects PQ at O. Step III : Draw the perpendicular bisector, PQ of AB. Step I : Take any three points on the given circle. Thus, two circles can have at the most two points in common. Let us draw different pairs of circles as shown below: ![]() How many points does each pair have in common? What is the maximum number of common points? NCERT Solutions for Class 9 Maths Exercise 10.3 Given: Two congruent circles with centres O & O’ and radii r which have chords AB and CD respectively such that ∠AOB = ∠CO’D. Prove that, if chords of congruent circles subtend equal angles at their centres, then the chords are equal. Given: Two congruent circles with centres O and O’ and radii r, which have chords AB and CD respectively such that AB = CD. Prove that equal chords of congruent circles subtend equal angles at their centres Recall that two circles are congruent, if they have the same radii. ![]() NCERT Solutions for Class 9 Maths Exercise 10.2 (v) Sector is the region between the chord and its corresponding arc. (iv) A chord, which is twice as long as its radius is a diameter of the circle. (iii) If a circle is divided into three equal arcs each is a major arc. (ii) A circle has only finite number of equal chords. (i) Line segment joining the centre to any point on the circle is a radius of the circle. (vi) A circle divides the plane, on which it lies, in _ parts. (v) Segment of a circle is the region between an arc and _ of the circle. (iv) An arc is a _ when its ends are the ends of a diameter. (iii) The longest chord of a circle is a _ of the circle. (ii) A point, whose distance from the centre of a circle is greater than its radius lies in _ of the circle. (i) The centre of a circle lies in _ of the circle. NCERT Solutions for Class 9 Maths Exercise 10.1 Do read these contents before moving to solve the exercise of NCERT chapter 10. Physics Wallah prepared a detail notes and additional questions for class 9 maths with short notes of all maths formula of class 9 maths. Read chapter 10 theory make sure you have gone through the theory part of chapter 10 from NCERT textbook and you have learned the formula of the given chapter. Given below is step by step solutions of all questions given in NCERT textbook for chapter 10. ![]() We have prepared NCERT solutions for all exercise of chapter 10. ![]() NCERT solutions for class 9 maths chapter 10 Circles is prepared by academic team of Physics Wallah. NCERT Solutions for Class 9 Maths Chapter-10 Circles ![]()
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