Find the best tutors and institutes for Class 10 Tuition
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
Top Tutor
SCB Nagar, Kothagudem
20 yrs of
Exp
31 students
1966 hrs of classes completed
450
per hour
Online Classes
22 Years Experience in Schools IN ICSE/CBSE/IGCSE IN DIFFERENT STATE BOARDS
Sir is very friendly teacher he will support us more he is the best teacher of the year his teaching skills are really good.
Top Tutor
Talwandi Sector-B, Kota
10 yrs of
Exp
1 student
685 hrs of classes completed
1450
per hour
Online Classes
Tutor's home
My teaching exp.11 year in most reputed coaching in india. Mentor of jee top rank air-12 yatis agrawal, 19, 28 many more in top 100 in jee adavnced. Many of students got 100%tile in jee mains along with 100% marks in board exams. I also provide complete relevent study material like worksheet, practice sheet , dpps , assignment etc. Daily quizz based on assignment. Periodically test papers topic wise, minor and major as per shedule. I have helped thousands of students overcome their fear of maths.
Top Tutor
MSR nagar mathikere, Bangalore
20 yrs of
Exp
21 students
5390 hrs of classes completed
499
per hour
Online Classes
I enjoy teaching and making things easier and fun for the children. Didn't send my kids for any tuitions. Today the elder child is a CSE graduate , working for Amazon & the other is in her 3rd year MBBS !
I have been studying Maths and Science under her guidance since 8th grade. She explains every concept in a simple and clear way, making even difficult topics easy to understand. Her teaching style is patient and supportive, and she always makes sure all doubts are cleared. She focuses on strengthening basics and gives regular practice, which has really helped me improve. Because of her guidance, my confidence in both subjects has increased a lot. I am truly grateful for her dedication and support
Top Tutor
Vesu, Surat
20 yrs of
Exp
18 students
1235 hrs of classes completed
500
per hour
Online Classes
I have experience teaching Mathematics to Grade 10 students with a focus on strengthening fundamental concepts and preparing them for board examinations. I teach important topics such as Real Numbers, Polynomials, Pair of Linear Equations in Two Variables, Quadratic Equations, Arithmetic Progressions, Trigonometry, Coordinate Geometry, Statistics, and Probability. My teaching approach involves explaining concepts clearly, solving problems step by step, and giving regular practice from NCERT and previous years’ board exam papers. I also conduct tests, revision classes, and doubt-clearing sessions to track students’ progress. My goal is to make mathematics simple and interesting while helping students build confidence and achieve good results in their Grade 10 board exams.
Sharma sir is awesome with his maths skills. Seriously, awesome person with intellectual mindset. My daughter took few 1:1 session with him for her maths and was satisfied. Wish there is 10 star rating.
Top Tutor
Chinsurah R S, Hooghly
15 yrs of
Exp
7 students
987 hrs of classes completed
350
per hour
Online Classes
Tutor's home
I've taught at least 150 students of this Class till date ....online/offline together.
Find more Tutor for Circles in your City
- Bangalore Mathematics Tutors
- Delhi Mathematics Tutors
- Chennai Mathematics Tutors
- Gurgaon Mathematics Tutors
- Noida Mathematics Tutors
- Hyderabad Mathematics Tutors
- Mumbai Mathematics Tutors
- Chandigarh Mathematics Tutors
- Pune Mathematics Tutors
- Ghaziabad Mathematics Tutors
- Jaipur Mathematics Tutors
- Surat Mathematics Tutors
