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I'm Up and Down, and Round and Round — Revision Notes

CBSE · Class 9 · Mathematics

I'm Up and Down, and Round and Round revision notes for CBSE Class 9 Mathematics: 4 topics in quick points. Part of the CBSE Class 9 Mathematics syllabus.

90 questions84 flashcards5 concepts

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Key Topics to Revise

1

1. Basic ideas about a circle

  • A circle is the set of all points in a plane that are equidistant from a fixed point.
  • The fixed point is the centre of the circle.
  • The distance from the centre to any point on the circle is the radius.
2

2. Circles through two and three points

  • Infinitely many circles pass through two given points.
  • The centres of all circles through two points lie on the perpendicular bisector of the segment joining them.
  • There is a unique circle passing through three non-collinear points.
3

3. Chords and the angles they subtend

  • Equal chords subtend equal angles at the centre.
  • Chords that subtend equal angles at the centre are equal.
  • These two results are converse forms of each other.
4

4. Midpoint and perpendicular of a chord

  • The line joining the centre of a circle and the midpoint of a chord is perpendicular to the chord.
  • The perpendicular from the centre to a chord bisects the chord.
  • Chords of equal length are at equal distance from the centre.

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Full Notes

Key Concepts

A circle is the setA chord is a line segmentAn arc is a connected portionA circle has complete rotational symmetryThere is exactly one circle passing

Frequently Asked Questions

What are the important topics in I'm Up and Down, and Round and Round for CBSE Class 9 Mathematics?
Key topics in I'm Up and Down, and Round and Round include Basic ideas about a circle, Circles through two and three points, Chords and the angles they subtend, Midpoint and perpendicular of a chord. Study these first, then practise questions on each for Class 9 exams.
How should I revise I'm Up and Down, and Round and Round for Class 9 exams?
Learn the core ideas first, then work through the 90 practice questions on I'm Up and Down, and Round and Round. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All CBSE Class 9 Mathematics Revision Notes

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