Circles Class 10 Maths One Shot | NCERT Chapter 10 | CBSE | Complete chapter

Class 10 CBSE Maths NCERT Chapter 10 Circles

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Class 10 CBSE Maths NCERT Chapter 10 Circles

Timestamps:
0:00 Introduction
0:59 Circle
4:40 A Circle and a Line
6:17 Tangent to a Circle
10:20 Theorem 1.
11:57 Theorem 2.
14:16 Problem 1.
19:05 Problem 2.
28:32 Problem 3.
31:17 Problem 4.
33:45 Problem 5.
37:34 Problem 6.
43:09 Problem 7.
47:59 Problem 8.
53:21 Problem 9.
59:02 Problem 10.
1:03:45 Problem 11.

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[abdulrashidshaikh]

The video covers the concepts of circles in Class 10 Maths, including terminology such as radius, diameter, chords, and segments. It explains the relationships between tangent lines and circles, properties of angles, and theorems related to tangents. The session concludes with problem-solving exercises to reinforce understanding.


Highlights:
00:10 Understanding circles is crucial in geometry, as they consist of points equidistant from a center. This lesson covers essential terminologies and properties related to circles and their segments.
-The video introduces key terms associated with circles, such as diameter, chord, and segment. Each term is defined with clear examples to enhance understanding.
-Different types of line interactions with circles are discussed, including secants and tangents. The distinctions between these interactions help clarify their geometric properties.
-The concept of a tangent line is explained, emphasizing that it touches the circle at only one point. Understanding tangents is essential for grasping circle properties.
08:04 A tangent line to a circle intersects it at exactly one point, known as the point of contact. At this point, only one tangent can be drawn, which is perpendicular to the radius.
-The length of a tangent is defined as the distance from an external point to the point of contact on the circle. This concept becomes crucial when solving related problems.
-Only two tangents can be parallel in a circle, and this occurs when they touch opposite points on the circle. Understanding this helps in visualizing tangent properties.
-The first theorem states that a tangent to a circle is perpendicular to the radius at the point of contact. This principle is essential for proving various geometric problems.
16:09 Understanding the properties of tangent lines and circles is crucial in solving geometry problems. Properly interpreting the diagrams can significantly reduce errors in calculations.
-Identifying the correct points and where tangents touch the circle is essential for accurate problem-solving. Misinterpretation can lead to confusion and incorrect answers.
-The Pythagorean theorem plays a vital role in determining lengths in right triangles formed by radii and tangents. Correctly applying this theorem simplifies many geometry problems.
-Understanding the relationship between angles in isosceles triangles helps in proving various properties. Recognizing equal sides leads to conclusions about the angles involved.
24:15 The relationship between angles in geometric figures can be effectively proven using equations. Understanding the properties of triangles and angles is crucial for solving related problems accurately.
-The proof of angle relationships helps in establishing connections between different geometric elements. This understanding allows for better problem-solving strategies in geometry.
-The significance of right triangles in geometric proofs is highlighted as they provide essential relationships between angles. Recognizing these can simplify complex problems.
-Using algebraic identities can simplify calculations in geometric proofs. Applying these identities effectively can lead to quicker and clearer solutions.
32:20 The angles in a quadrilateral sum up to 360 degrees, enabling the determination of unknown angles when some are provided. The example demonstrates calculating an unknown angle when three angles are known.
-A quadrilateral's angle relationships are essential in geometry, where knowing some angles allows for the calculation of others. This concept is fundamental in solving geometric problems.
-The relationship between the radius and tangent lines is highlighted, emphasizing that they form right angles at the point of contact. This principle is crucial for proving various geometric properties.
-The proof of parallel tangents drawn from the endpoints of a diameter to a circle is discussed. Understanding this proof is vital for comprehending the properties of circles and tangents.
40:24 The concept of perpendicular lines is explored, emphasizing that for an angle to be 90 degrees, certain geometric conditions must be fulfilled. This logical approach helps in understanding the relationships between angles and circles effectively.
-Understanding perpendicularity requires that the line must pass through the center for the angles to maintain their relationship. This is crucial in proving geometric properties.
-Multiple concentric circles are discussed to illustrate the concept of tangent lines. This example reinforces how different geometric shapes interact with one another in a mathematical context.
-The proof utilizes basic trigonometric principles, indicating that triangles formed by these geometric figures often exhibit right angles. This highlights the interconnectedness of geometry and trigonometry.
48:28 The proof of angles in circles involves understanding the equality of tangents drawn from external points. This principle simplifies the process of establishing relationships between various angles and segments.
-The concept of a circumscribed circle around a quadrilateral is crucial for understanding tangent properties. Each side of the quadrilateral touches the circle at one point.
-The equality of lengths of tangents drawn from an external point is important in proving angle relationships. This equality helps in establishing congruence between triangles formed.
-The formation of right triangles using radii and tangents is a key aspect of the proof process. This geometric relationship aids in simplifying angle calculations.
56:35 The video discusses the proof that the sum of angles in a specific geometric configuration equals 180 degrees. It highlights the importance of understanding relationships between angles for solving various geometry problems.
-The importance of establishing relationships between angles is emphasized. Identifying equal angles allows for simplifying complex geometric proofs and calculations effectively.
-The process of solving different types of geometry questions is outlined. The video showcases how a few essential properties can be applied to various problems.
-A specific question regarding the properties of a parallelogram is introduced. Understanding the characteristics of opposite sides being equal is crucial for geometric proofs.
1:04:40 Supplementary angles are defined as two angles that add up to 180 degrees. The video demonstrates how to prove that certain angles in a quadrilateral meet this criterion.
-The proof involves understanding the properties of angles formed within a quadrilateral and their relationship to the center point. This is crucial for establishing angle relationships.
-The concept of congruence is explored, showing how angles in different triangles can be equal to each other. This contributes to the overall understanding of angle relationships.
-The sum of all angles around a point is 360 degrees, which provides a basis for calculating and proving the sum of supplementary angles in the quadrilateral.
1:15:01 Understanding math concepts is essential, but practice is equally crucial to strengthen your skills. Engaging with your textbooks and solving problems independently will enhance your mathematical proficiency.
-Utilizing platforms like Learn Hub can provide various resources such as videos, notes, and practice questions to aid your learning process effectively.
-Students preparing for exams like NEET or JEE can access complete courses for free, including detailed explanations and previous year questions.
-One-on-one personalized classes are available for students who seek additional help or clarification on specific topics to ensure a better understanding.

[PersonalMent.]

Many Many Congratulations Ma'am For 3 Lakh Students Family. 🙏🏻😊🙏🏻😊🙏🏻

[Surajsingh-rrc]

Yes mam solve ho rhe hai ab, chapter bhi easy line lga hai Thank u so much mam.😊

[Ramkumar-owqy]

Mam the explanation was just superb🎉 thanks a lot for your hardwork for us

[sureshmehetre]

Very very nice, I have studied this in SSS 1976.

[imranomar]

Dear Mam your teaching style is very impressive keep it up Thanks

[rajinderkaur]

Thanku mam soo muchh crastal clear❤❤😊😊

[ratanbhattacharya]

Wonderful madam. Your explanations are best possible. It shows your hardwork.

[RP_YT_Gamer]

Mam agar hum centre se line ko pass Kara de to mam 3 points par intersect karegi na line as centre is also a point and the line will also cut the other two points ( other than centre) on the circle. 😅

[sureshmehetre]

Mdm, take root of LHS also, very nice, I have studied in SSS 1976

[sikanderpaswan]

Mam please trignometry chapter upload kar dena mam please 😢❤❤

[adorableyashika]

Please upload area related to circle chapter

[abdulrashidshaikh]

mam baki ke chs science ke aap kab upload kareingi

[reenayadav]

Please mam class 10th ki sst bhi padhao 😊 please

[NadiaIslam-nsge]

Mam please sst bhi padha djijye
Mam request he. Mam maths samjh me aata he to mam sst bhi padha djiye naa😢

[Yashi]

I can't believe sabhi subject mein topper h aap kash main bhi aap jaisi ban pau 😢

[reenayadav]

Please mam class 10th sst bhi padhao please mam reply me

[anuragsahu]

Mam plss make aa live video of force and laws for class 9th