No, we cannot conclude that CD = 2AB. According to the chapter, the longer chord is closer to the centre. Chord length depends on radius and distance from the centre, not directly on distance alone.
In a circle, if the distance of chord AB from the centre is twice the distance of another chord CD from the centre, then can we conclude that CD = 2 AB? Give reasons for your answer.
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No, we cannot conclude that CD = 2AB. The distance of chord AB from the centre being twice the distance of chord CD does not mean that CD is twice AB. According to Theorem 8, the longer chord is closer to the centre, but the relationship between chord length and distance is not directly proportional. Chord length also depends on the radius of the circle. Therefore, the given distances alone are not sufficient to establish CD = 2AB.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 5 I’m Up and Down and Round and Round (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-5/