NCERT Solutions for Class 9 Maths Exercise 10.4 Circles updated for new academic session 2022-2023. Students can get here Class 9 Maths Exercise 10.4 in Hindi and English Medium free to use without any login or password. You can download solutions in PDF or Video format to use it offline.
NCERT Solutions for Class 9 Maths Exercise 10.4
Theorems for Exercise 10.4 Solutions
Before venturing into exercise 10.4 we should know that we need to learn theorem 10.6, and 10.7. Theorem 10.6 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 10.4
Theorem 10.7 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 10.4 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 10.4 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.