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NCERT Solutions for Class 9 Maths PDF Download (Updated for ) NCERT Solutions For Class 9 Maths Chapter Circles. Here, OM ? AB and ON ? CD. is drawn and OB and OD are joined. We know that AB bisects BM as the perpendicular from the centre bisects chord. Since AB = 5 so, BM = AB/2. Similarly, ND = CD/2 = 11/2. Now, let ON be x. So, OM = 6? x. onsider ?MO, OB. 2 = OM. 2 + MB. 2. Or, onsider ?NOD, OD. 2 = ON 2 + ND 2. Or. NCERT Class 9 Maths Solutions For Chapter Circles (Page No: ) Exercise: 1. Fill in the blanks: (i) The centre of a circle lies in _____ of the circle. (exterior/ interior) (ii) A point, whose distance from the centre of a circle is greater than its radius lies in _____ of the circle. (exterior/ interior) (iii) The longest chord of a circle is a _____ of the circle. Oct 16, �� Circles - Visit Chapter-wise Courses for Preparation: ?myboat294 boatplans Links:Maths CBSE Class 9: myboat294 boatplans CBSE Class Author: Vedantu Class 9 &
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See our User Agreement and Privacy Policy. See our Privacy Policy and User Agreement for details. Published on Apr 10, SlideShare Explore Search You. Submit Search. Home Explore. Successfully reported this slideshow. We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. You can change your ad preferences anytime. Circles class 9.

Upcoming SlideShare. Like this presentation? Why not share! Embed Size px. Start on. Show related SlideShares at end. WordPress Shortcode. Published in: Education. Full Name Comment goes here. Are you sure you want to Yes No. College of Science, Aurangabad. Show More. If two equal chords of a circle intersect within the circle, prove that the segments of one chord are equal to corresponding segments of the other chord.

Join OE. If two equal chords of a circle intersect within the circle, prove that the line joining the Byjus Class 9 Maths Rs Aggarwal Ltd point of intersection to the centre makes equal angles with the chords. Solution: Given : Two circles with the common centre O. Three girls Reshma, Salma and Mandip are playing a game by standing on a circle of radius 5m drawn in a park. If the distance between Reshma and Salma and between Salma and Mandip is 6 m each, what is the distance between Reshma and Mandip?

A circular park of radius 20 m is situated in a colony. Three boys Ankur, Syed and David are sitting at equal distance on its boundary each having a toy telephone in his hands to talk each other. Find the length of the string of each phone. Let the length of each side of the equilateral triangle be 2x. A chord of a circle is equal to the radius of the circle, find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc.

Solution: We have a circle having a chord AB equal to radius of the circle. Solution: The angle subtended by an arc of a circle at its centre is twice the angle subtended by the same arc at a point pn the circumference. In figure, A, B and C are four points on a circle. ABCD is a cyclic quadrilateral whose diagonals intersect at a point E.

Solution: Since angles in the same segment of a circle are equal. If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it is a rectangle. If the non � parallel sides of a trapezium are equal, prove that it is cyclic. Two circles intersect at two points B and C. Solution: Since, angles in the same segment of a circle are equal.

If circles are drawn taking two Byjus Maths Class 9 Question Paper Ltd sides of a triangle as diameters, prove that the point of intersection of these circles lie on the third side. They intersect at a point D, other than A. Let us join A and D. Thus, D lies on BC.

Case � I: If both the triangles are in the same semi-circle. Join BD. DC is a chord. Case � II : If both the triangles are not in the same semi-circle. Prove that a cyclic parallelogram is a rectangle. Since, ABCD is a cyclic quadrilateral. Thus, ABCD is a rectangle. Prove that the line of centres of two intersecting circles subtends equal angles at the two points of intersection. Two chords AB and CD of lengths 5 cm and 11 cm, respectively of a circle are parallel to each other and are on opposite sides of its centre.

If the distance between AB and CD is 6 cm, find the radius of the circle. Solution: We have a circle with centre O. Let r cm be the radius of the circle. The lengths of two parallel chords of a circle are 6 cm and 8 cm.

If the smaller chord is at distance 4 cm from the centre, what is the distance of the other chord from the centre? Parallel chords AB and CD are such that the smaller chord is 4 cm away from the centre.

Let the vertex of an angle ABC be located outside a circle and let the sides of the angle intersect equal chords AD and CE with the circle.

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