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Q2(ii):
Fill in the blanks : (ii) A line intersecting a circle in two points is called a __________.
Solution :
Given: A circle and a line that intersects the circle at two distinct points.
To Find: The specific mathematical term used to describe such a line.
Step 1: Analyzing the definition of a line intersecting a circle
In geometry, the relationship between a line and a circle is categorized based on the number of points of intersection:
1. If a line does not touch the circle at all, it is called a non-intersecting line.
2. If a line touches the circle at exactly one point, it is called a tangent.
3. If a line intersects the circle at two distinct points, it is called a secant.
Step 2: Applying the definition
The problem states that the line intersects the circle in two points. By the standard definition in Euclidean geometry, a line that cuts through a circle at two points is defined as a secant line.
Step 3: Conclusion
Since the line passes through the interior of the circle and intersects the circumference at two distinct points, the term that satisfies the condition is "secant".
Final Answer: A line intersecting a circle in two points is called a secant.
More Questions from Class 10 Mathematics Circles EXERCISE 10.1
- Q1: How many tangents can a circle have?
- Q2(i): Fill in the blanks : (i) A tangent to a circle intersects it in __________ point (s).
- Q2(iii): Fill in the blanks : (iii) A circle can have __________ parallel tangents at the most.
- Q2(iv): Fill in the blanks : (iv) The common point of a tangent to a circle and the circle is called __________.
- Q3: A tangent $PQ$ at a point $P$ of a circle of radius $5$ cm meets a line through the centre $O$ at a point $Q$ so that $OQ = 12$ cm. Length $PQ$ is :
- Q4: Draw a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle.
CBSE Solutions for Class 10 Mathematics Circles
Chapters in CBSE - Class 10 Mathematics
Top Tutors who teach Circles
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Kazipet, Warangal
2 yrs of
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50 hrs of classes completed
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Ayodhya Nagar, Vijayawada
5 yrs of
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1 student
718 hrs of classes completed
470
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I am an experienced educator with 8 years of teaching and training expertise, specializing in all subjects for students from Class 1 to 8 across various academic boards. Additionally, I offer professional Microsoft Excel training (basic to advanced), designed to equip learners with practical skills for academic and professional use. I hold a B.Tech in Information Technology, which has strengthened my analytical and technical foundation, enabling me to integrate practical and modern methods into my teaching. Over the past 8 years, I have worked with students from diverse backgrounds and learning levels, ensuring that every learner gets individual attention and a personalized learning experience. I strongly believe in active communication with both students and parents, addressing concerns and adapting methods to suit each child’s unique pace and goals. One of my proudest achievements is the academic success of my students—for instance, 8 out of 10 students recently scored 95+ in Mathematics under my guidance. I was also recognized as a Star Tutor for 6 consecutive months at Filo EdTech, based on session quality, student feedback, and consistent results, which reflects my dedication to quality education. I conduct only online classes for flexible and convenient learning. My teaching approach is structured yet interactive, ensuring clarity and engagement through the following steps: Concept Explanation: Breaking down topics into simple, easy-to-understand concepts. Interactive Sessions: Encouraging students to ask questions and clarify doubts during class. Practice Work: Providing assignments and exercises for reinforcement. Progress Tracking: Offering regular feedback and performance assessments. For Microsoft Excel training, I follow a practical-based approach, using real-life examples and hands-on exercises, so learners can immediately apply their knowledge. I make use of PowerPoint presentations, digital whiteboards, and provide notes when required to ensure an effective and engaging learning experience.
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Mahipalpur, Delhi
14 yrs of
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As an experienced teacher for nine years, I have been teaching to make students interested in the subjects of Maths. My attitude is to help children improve in studies in the best possible way.
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Nerul Sector 20, Thane
10 yrs of
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62 students
2970 hrs of classes completed
1200
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Basaveshwara Nagar, Bangalore
12 yrs of
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800
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With over 15 years of dedicated teaching experience, I am an accomplished and qualified educator specializing in Spoken English, Math, Science, Social Science, and Kannada Language. My expertise extends across various educational boards, including CBSE, ICSE, and state boards. Passionate about unraveling the mysteries of mathematical problems and chemical equations. I have garnered recognition with the prestigious Best Teacher Award for orchestrating state-level Science exams. Having contributed my skills to the esteemed MaxMuller Public School in Bangalore, I am committed to fostering a nurturing and inspiring learning environment. Join me on this educational journey where knowledge meets enthusiasm!
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