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Learn Coordinates of a point

Welcome to CBSE Class 9 Mathematics! As you dive into the chapter on Coordinate Geometry, learning how to locate the coordinates of a point is much like learning how to read a digital map or use a GPS. Just as finding a specific physical address requires both a street name and a house number, pinpointing a specific location on a flat two-dimensional surface requires two specific reference numbers. Developed by the mathematician René Descartes, this system uses two mutually perpendicular lines to help us perfectly describe the exact position of any point on a plane, entirely eliminating the need for guesswork.

The core logic behind finding these coordinates relies on a Cartesian plane made of two intersecting number lines: the horizontal line called the x-axis and the vertical line called the y-axis. These two lines cross at a zero reference point known as the Origin (0,0). The exact position of any point is written inside parentheses as an ordered pair (x, y). The first value, known as the x-coordinate (or abscissa), measures the perpendicular distance of the point from the vertical y-axis. The second value, the y-coordinate (or ordinate), measures the perpendicular distance of the point from the horizontal x-axis. An easy way to avoid mistakes is to remember that, just like in the alphabet, "x always comes before y" in an ordered pair!

Coordinates of a Point on a Cartesian Plane Quadrant I (+, +) Quadrant II (-, +) Quadrant III (-, -) Quadrant IV (+, -) X X' Y Y' O (0,0) 1 2 3 4 -1 -2 1 2 3 4 -1 P (4, 3) Understanding P (4, 3) x-coordinate (Abscissa) = 4 → Perpendicular distance from the Y-axis (Red Line). y-coordinate (Ordinate) = 3 → Perpendicular distance from the X-axis (Green Line).

In the interactive visual diagram above, you can see a standard Cartesian plane illustrating exactly how the point P (4, 3) is plotted. The horizontal blue line with positive and negative numbers is the x-axis, and the vertical intersecting blue line is the y-axis. By following the red dashed line, you can visually observe that the point is exactly 4 units to the right of the y-axis, providing an abscissa of 4. Similarly, looking at the green dashed line, the point sits 3 units directly above the x-axis, providing an ordinate of 3. Combined, these distances map exactly to the ordered pair (4, 3) located in the First Quadrant. In your CBSE school examinations, you will frequently be asked to plot similar points, identify which of the four quadrants a point belongs to based on the positive or negative signs of its coordinates, or derive the coordinates from an already plotted graph.

Coordinate Geometry is one of the most highly scoring and visually intuitive chapters in Class 9, but getting fully comfortable with plotting axes, memorizing quadrant signs, and correctly identifying the abscissa and ordinate takes hands-on practice. If you find yourself struggling to grasp these foundational graphing concepts, getting the right academic guidance can make a tremendous difference. Explore UrbanPro to connect with highly experienced and verified CBSE Class 9 Mathematics tutors. Whether you prefer the flexibility of personalized online tuition or the focus of local offline classes, UrbanPro has top-rated educators ready to help you master Coordinate Geometry and confidently excel in your upcoming math exams.


Other Concepts in Coordinate Geometry


Other Concept Videos for Coordinates of a point

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Finding the Coordinates of a Point

CBSE - Class 9>Mathematics>Coordinate Geometry>Coordinates of a point


Finding the Coordinates of a Point video thumbnail

Finding the Coordinates of a Point

CBSE - Class 9>Mathematics>Coordinate Geometry>Coordinates of a point

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locationImg Katira Maharaja Hata, Arrah
4 yrs of Exp 30 students
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I've been teaching standard 9th students of schools from India and abroad. I primarily work with them to prepare for Olympiad, JEE foundation and school exams. I've been teaching students of class 8th -10th Science and mathematics for the past 4 years. So far, I have taught more than 100 students from India and abroad. I teach international students Mathematics, Physics and Chemistry. I teach almost all boards of India such as CBSE, ICSE and state boards. I also teach IGSCE and IB students. I've my own offline coaching institute where I am teaching students of CBSE and state boards who require help in Science and Mathematics. Fee displayed on my profile is for 1×1 classes. For group classes the fee is substantially reduced.

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20 yrs of Exp 20 students
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Teaching mathematics since last 20 years. Doing research on Vedic mathematics
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Teaching since last 20 years

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I gained extensive experience in delivering high-quality education following the CBSE/ICSE curriculum. My key responsibilities included: Classroom Teaching: Effectively taught Mathematics, Physics and Chemistry to students of classes IX, ensuring alignment with the CBSE/ ICSE syllabus and fostering a deep understanding of key concepts. Curriculum Planning: Designed and implemented lesson plans that adhered to the CBSE guidelines, ensuring comprehensive coverage of topics while keeping in mind the varying learning needs of students. Student Assessment: Created and administered tests, quizzes, and assignments in accordance with the CBSE exam pattern. Monitored student performance and provided constructive feedback to facilitate continuous improvement. Interactive Learning: Encouraged an interactive classroom environment, integrating various teaching aids such as multimedia presentations, hands-on activities, and group discussions to enhance student engagement and understanding. Preparation for Board Exams: Provided focused support for students appearing for their CBSE/ICSE board exams by conducting regular revision sessions, mock tests, and personalized guidance to help them excel. Parental Communication: Maintained regular communication with parents regarding student progress, attendance, and overall development. Organized parent-teacher meetings to ensure a collaborative approach to student growth. Co-curricular Involvement: Actively participated in school events, projects, and extracurricular activities, fostering holistic development among students. Professional Development: Engaged in continuous professional development through workshops and CBSE training programs to stay updated with the latest educational practices and policies.

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Avishake Chatterjee Class 9 Tuition trainer in Kolkata
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As a passionate mathematics teacher, I have always enjoyed imparting knowledge to others. I am a B.Tech graduate in Electronics and Communication. I have been teaching mathematics for over four years, and my love for the subject has grown stronger with time. I started teaching as a part-time tutor while pursuing my engineering degree and fell in love with the profession. After completing my degree, I worked with Byjus, one of the leading Edtech companies in India, as a mathematics teacher for two years. While I enjoyed my time at Byju's, I could do more as a teacher and wanted to explore new avenues. I joined Vedantu, an online learning platform, where I have been teaching mathematics for the last two years. I started my journey as a math teacher out of pure passion. Mathematics has always been my favourite subject, and I enjoyed solving problems and equations from a young age. As I grew older, I realised I had a natural talent for teaching, and I decided to pursue it as a career. Currently, I provide mathematics classes for students from sixth to twelfth for all boards, including ICSE, CBSE, and West Bengal. I teach offline and online classes, each lasting for one and a half hours. I use interactive tools such as Zoom, Pentab, and One Note to make my lessons engaging and interactive for my students. To help my students excel in mathematics, I provide them with reference books, notes, and in-built assignments to test their knowledge. I also conduct monthly tests to assess their progress and identify improvement areas. Teaching on UrbanPro has allowed me to interact with students from different parts of the country and help them realise their full potential in mathematics. I want to continue making a positive impact in the lives of my students and help them develop a love for mathematics, just like I did

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I teach Math and Science to 8th-12th standard students and have been teaching for more than 10 years. Batch of 2 Students: I conduct these small batches with a pair of students of the same class and the education board (I cover all popular boards CBSE, ICSE, IGCSE etc.). Works for those students/parents who are looking for individual attention for their kids but still want it to be a little affordable. *3 classes per week (So 12 a month) *Maths and Science (Also English Grammar and Literature) *Fee Rs. 4500/- per month/12 classes. Batch of 6 Students: I conduct these small batches with 5-6 students of the same class and the education board (I cover all popular boards CBSE, ICSE, IGCSE etc.). *4 classes per week (So 16 a month) *Maths and Science *Fee Rs. 4000/- per month/16 classes. I will start the classes immediately once the first kid enrolls. ------------------------------------------------------------------------------- Individual/Private/One-to-One classes: I conduct these one to one classes for those students willing to have one to one setup (I cover all popular boards CBSE, ICSE, IGCSE etc.). *3 classes per week (So 12 a month) *Maths and Science (Also English Grammar and Literature) *Fee Rs. 7000/- per month/12 classes. ------------------------------------------------------------------------------- I took classes and batches in different institutions.

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Other Subjects in CBSE - Class 9


FAQ

What is the meaning of Coordinates of a point?

It refers to a specific mathematical method or property in Coordinate Geometry used to solve problems involving Coordinates of a point.

Why is Coordinates of a point important for CBSE - Class 9 exams?

This concept is crucial for the exams as questions related to Coordinate Geometry and specifically Coordinates of a point are very common. It helps secure marks in the section effectively.

Is Coordinates of a point part of the latest NCERT syllabus?

Yes, Coordinates of a point is an integral part of the CBSE - Class 9 NCERT Mathematics syllabus. It is a key topic covered in the Coordinate Geometry chapter.

What are common mistakes students make with Coordinates of a point?

Students often miss the minute details or fundamental definitions of Coordinates of a point. Regular revision and practice are needed to master the nuances.

How should I approach learning Coordinates of a point?

Start by understanding the formulas and logic, then practice applying them to simple problems. Solve the examples given in the NCERT textbook before moving to exercise problems.

How can UrbanPro help me understand Coordinates of a point better?

UrbanPro connects you with experienced Mathematics tutors who can explain Coordinates of a point with simple examples. You also get access to doubt-clearing sessions and mock tests for better preparation.

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