Madhyamik 2026 Theorem & Construction || Madhyamik 2026 Maths Suggestions

Madhyamik 2026 Maths: Theorem & Construction - Comprehensive Notes

1. Summary

This video by A2R Classes provides crucial suggestions for the Madhyamik 2026 Maths exam, focusing on theorems and constructions within geometry. The video promises a guaranteed 10 marks (5 from theorems and 5 from constructions) by covering key chapters, specific theorems, and construction types. The presenter emphasizes the importance of understanding the concepts rather than rote memorization and provides resources for further learning.

2. Key Takeaways

* **10 Marks Guaranteed:** The video focuses on geometry theorems and constructions, promising 10 marks in the exam.

* **Focus Areas:** Specific chapters and theorems are highlighted as crucial for the 2026 exam.

* **Understanding over Memorization:** The presenter emphasizes the importance of understanding the concepts, not just memorizing the theorems.

* **Resources Provided:** The channel offers video explanations of the key theorems.

* **Key Chapters for Theorems:** Chapters 3, 7, 10, 15, 18, and 22.

* **Key Chapters for Constructions:** Chapters 11.1 and 17.

3. Detailed Notes

**I. Introduction (0:00:00 - 0:00:44)**

* The video focuses on important theorems and constructions for the Madhyamik 2026 Maths exam.

* Promises 10 marks from geometry. (5 from theorem, 5 from constructions)

* Provides tips and suggestions to score well.

**II. Construction Chapters (0:00:05 - 0:00:22)**

* Total of 4 chapters for constructions (11.1, 11.2, 17 and 21)

* For Madhyamik 2025: Chapter 11.2 was important

**III. The Importance of Theorems and Construction in Geometry (0:00:27 - 0:00:48)**

* Focus on Geometry theorems and constructions

* Promises 10 marks.

**IV. Scoring Strategy: Theorems (0:00:53 - 0:01:29)**

* 5 marks from most important theorems.

* Provides 6 Chapters

* Chapter 3

* Chapter 7

* Chapter 10

* Chapter 15

* Chapter 18

* Chapter 22

**V. Theorem Analysis (0:01:45 - 0:02:59)**

* For Madhyamik 2025: Chapters 10 and 22 were most important.

* This video provides four most important theorems, which will help to get high marks.

**VI. Key Theorems for 2026 (0:03:00 - 0:05:40)**

* **Theorem 32:** (Chapter 3, Page 59): *The perpendicular drawn to a chord, which is not a diameter, from the center of the circle, bisects the chord.* (0:03:00 - 0:03:17)

* **Theorem 33:** (Chapter 3, Page 60): *If any straight line passing through the center of a circle bisects any chord (not a diameter), then the straight line will be perpendicular to that chord.* (0:03:17 - 0:03:42)

* **Theorem 34:** (Chapter 7, Page 123): *The angle at the center of a circle by an arc is double the angle formed by the same arc at any point on the circle.* (0:03:52 - 0:04:10)

* **Theorem 35:** (Chapter 7): *Angles in the same segment of a circle are equal.* (0:04:16 - 0:04:27)

* **Theorem 40:** (Chapter 15, Page 208): *The tangent to a circle at any point on it is perpendicular to the radius through the point of contact.* (0:04:36 - 0:04:52)

* **Theorem 41:** (Chapter 15): *If two tangents are drawn to a circle from a point outside it, then the line segments joining the points of contact and the exterior point are equal, and they sustain equal angles at the centre.* (0:04:56 - 0:05:37)

**VII. Additional Theorems (0:05:53 - 0:07:33)**

* **Theorem 42:** *If two circles touch each other, then the point of contact will lie on the line segment joining the two centres.* (0:05:53 - 0:06:16)

* **Theorem 48:** (Chapter 18): *In any right-angled triangle, if a perpendicular is drawn from the right-angled point on the hypotenuse, then the two triangles on both sides of this perpendicular are similar, and each of them is similar to the original triangle.* (0:06:47 - 0:07:10)

* **Theorem 50:** (Chapter 22): Pythagoras Theorem Converse (Not as important) (0:07:13 - 0:07:33)

**VIII. The Four Most Important Theorems (0:07:33 - 0:08:24)**

* **Theorem 34**

* **Theorem 48**

* **Theorem 32**

* **Theorem 41**

* These four theorems are the most important and are most likely to appear in the exam.

**IX. Advice on Understanding (0:08:42 - 0:09:09)**

* The importance of understanding and not just memorizing.

* Recommend to search YouTube for explanation video using search terms like "Theorem 34 by A2R Classes".

**X. Construction: Chapter Breakdown (0:10:09 - 0:10:39)**

* Focus is on Chapters 11.1 (Construction of Circumcircle) and Chapter 17.

* Chapter 11.2 (In-circle) already appeared in 2025, which makes Chapter 11.1 is important for 2026.

**XI. Construction: Chapter 11.1 Analysis (0:10:48 - 0:11:00)**

* For circumcircle, the questions related to question numbers two, three, and four are important.

* Construction of circumcircle is easy, easy to get full marks.

**XII. Construction: Chapter 11.1 - How to Draw (0:11:51 - 0:12:49)**

* Emphasize on the importance of how to draw a triangle first.

* Then construct the circumcircle.

* How to draw a triangle given measurements.

* Mentions different triangles - equilateral, isosceles, right-angled.

**XIII. Construction: Chapter 17 (0:13:54 - 0:14:14)**

* Construction of tangents to a circle will come, which is worth 5 marks.

* Question number 11 will have two questions. One will be from construction, the other is tangent from this chapter.

**XIV. Conclusion and Key Advice (0:14:14 - 0:16:08)**

* Master Chapter 11.1 and Chapter 17.

* To master, watch the explained videos.

* Recommends to do questions from number 11.1 and Chapter 17, and the theorem questions.

* If any issues/doubts, go search on YouTube.

* Promises 10 marks by doing what is mentioned in the video.