# NCERT Class 9 Mathematics Chapter 5 I’m Up and Down, and Round and Round Solutions: In-Text and Exercise Questions Explained | SwaVid

This document provides real questions from the NCERT Class 9 Mathematics textbook "Ganita Manjari", specifically from Chapter 5, titled "I’m Up and Down...

Canonical: https://swavid.com/maths/class/9/chapter/i-m-up-and-down-and-round-and-round/ncert-solutions

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# I’m Up and Down, and Round and Round

## Find the gaps before this chapter finds them for you.

## Related chapters

Chapter 5 · Class 9 Mathematics

This document provides real questions from the NCERT Class 9 Mathematics textbook "Ganita Manjari", specifically from Chapter 5, titled "I’m Up and Down, and Round and Round", along with step-by-step worked solutions. The questions are transcribed as closely as possible from available information, and solutions are designed for Class 9 students.

Your study route

In-text Questions

Answer: Infinitely many circles can pass through two distinct points on a plane.

The center of each such circle lies on the perpendicular bisector of the line segment joining the two points.

Exercise Questions

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Source

- Consider two distinct points, A and B, on a plane.
- Any circle passing through A and B must have its center equidistant from A and B.
- The locus of all points equidistant from two distinct points A and B is the perpendicular bisector of the line segment AB.
- Since there are infinitely many points on the perpendicular bisector of AB, each of these points can serve as the center of a unique circle passing through A and B.
- Therefore, infinitely many circles can pass through two given points on a plane.
- NCERT Class 9 Mathematics textbook: Ganita Manjari : Chapter 5: I’m Up and Down, and Round and Round

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