NCERT Solutions for Class 9 Maths Chapter 9 Exercise 9.2 Circles updated for new academic session 2023-2024. Students can get here Class 9 Maths Ex. 9.2 in Hindi and English Medium based on rationalised syllabus and new NCERT textbooks for CBSE 2023-24.

Class: 9 | Mathematics |

Chapter: 9 | Exercise: 9.2 |

Chapter Name: | Circles |

Content Type: | PDF, Videos and Text format |

Session: | CBSE 2023-24 |

Medium: | Hindi and English Medium |

### Theorems for Exercise 9.2 Solutions

Before venturing into next chapter we should know that we need to learn theorems from NCERT solutions Maths for class 9th states that chords of equal length of a given circle or of a congruent circles are equidistant from the center (or centers). This is a simple theorem and you can verify by actually drawing a circle and drawing two chords of same lengths.

#### Use of theorems in Exercise 9.2

Theorem says, Chords which are equidistant from the center are equal in length. This is just the converse theorem 6. It is not a difficult theorem but slightly more in difficulty level compared to theorem 6.

Now based on these two theorems exercise 9.2 contains 6 questions. Out of which the first 3 are seemingly easy and the last three needs little practice and application as well.

##### Theorem make Exercise 9.2 simpler

The above theorems are based on some simple observations. For example – if you want to draw a shortest line from a particular point to a straight line, then you should draw a perpendicular from that point that straight line.

Practically speaking suppose you are crossing a road and there is a vehicle coming from one side. Then it is better to let the vehicle go by.

###### Importance of theorems in Geometry

But if you stuck in between then the shortest to route cross will be the perpendicular distance will be one end to another. Thus we see that geometry have practice application in life.

It is suggested that students revise the old theorems as much as possible because to prove the new theorems i.e., the theorems under consideration we should be familiar with the theorems learnt in the past.