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Tuesday, July 22, 2025

Coordinate Geometry Made Simple with Videos for cbse 10th students

 

Coordinate Geometry Videos That Truly Help You Master the CBSE Maths Syllabus and Beyond



Coordinate Geometry Formulas Every Student Must Know – Distance, Midpoint, Section

If you're revising for any major math exam or just looking for a quick way to refresh your understanding of coordinate geometry, this page has what you need. The embedded short video below presents the three most essential coordinate geometry formulas used across nearly all school mathematics exams worldwide: the Distance Formula, the Midpoint Formula, and the Section Formula.

These formulas are required knowledge in CBSE Class 10 and Class 11 Maths, ICSE and ISC Board geometry chapters, IGCSE 0580 and 0606 extended mathematics, Edexcel International A Level Maths, AQA GCSE Maths, WJEC, CIE, and IB Diploma Programme Maths for both AA and AI students. Whether you are preparing for school boards, IAL Unit 1 Pure Maths, NCEA Level 1, HSC Preliminary, or international standardized tests like SAT or ACT, these formulas are found regularly in past papers and sample questions.

This video is not a full lecture. It is a high-speed, to-the-point visual reference that shows you exactly how these formulas are written and applied in real problems. It is designed as a memory tool for fast revision. You can watch it on your phone, tablet, or computer anytime to recall the formulas right before a test or while solving problems from a worksheet or textbook.

In the Distance Formula, you calculate the length between two points using their coordinates. In the Midpoint Formula, you determine the coordinates of the point exactly halfway between two given points. The Section Formula is used to find the coordinates of a point that divides a line segment in a given ratio internally. These are often the basis for 2-mark and 3-mark questions in CBSE Term 2 exams, ICSE Semester 2 assessments, IB Paper 1, and many school-level test papers globally.

Every visual 



Mathematics, when broken down into visual components, speaks a language everyone can understand. Coordinate geometry is one of those rare branches that merges numbers and diagrams into one. It is not just a chapter from a textbook. It is a language used by surveyors, designers, scientists, economists, architects, and even game developers. In the classroom, especially in the CBSE curriculum, coordinate geometry holds strong importance and contributes not only to board examinations but also to several competitive exams across countries. The real challenge many students face, however, is in translating formulas into intuition. This is where visual learning through high quality videos on coordinate geometry becomes a game changer.

The visual power of videos offers something textbooks often lack. They provide motion. They break down each topic step by step and allow for learning at a pace that suits the student. But not all videos are made equal. What is often needed is a resource that mirrors the kinds of problems that appear in real exams, following the patterns and strategies seen across CBSE board exams, ICSE assessments, state-level school exams, international school systems, and even foundation courses preparing students for university entrance. This makes the choice of videos extremely important. It can mean the difference between merely watching and truly learning.

In the global context, coordinate geometry forms a part of high school curriculum in nearly every country. In India, the CBSE Class 10 syllabus includes key subtopics such as distance between two points, section formula, and area of triangle. Other curricula from countries such as Singapore, South Africa, Nigeria, the UK, Australia, and the United States also include coordinate geometry as part of their foundational topics in algebra and geometry. In each of these systems, the concepts are similar but the format of questioning can vary. This gives an edge to video content that covers not only theoretical understanding but also applies each concept to different question patterns.

It becomes important, then, to create video content that explains not only how but also why. Why does the midpoint formula work the way it does? Why does the area of a triangle rely on half the product of coordinates in a certain order? And most importantly, how can students apply this to solve real examination questions that resemble those from actual past papers across different boards?

The ideal video on coordinate geometry begins not with definitions but with scenarios. A student learns better when the content is related to what they already understand. Take a video that starts with a map. Two points are given, representing two schools. The distance between them can be calculated. This simple problem introduces the concept of using the distance formula. A few minutes later, the same video applies this to a CBSE Class 10 board question that appeared in previous years. The explanation is seamless. The learner connects the real world to the exam world. They also understand how coordinate geometry is more than a theoretical concept. It becomes a tool.

Videos that include solved examples from actual question papers are another important requirement. Students in different regions of the world are often surprised to find that coordinate geometry questions are not unique to one board. In fact, a question from an old IGCSE paper may resemble one from a CBSE board question bank. By using videos that show real questions being solved in detail, students begin to recognize patterns. This boosts confidence and saves time during actual exams. Such videos go beyond learning. They provide strategic preparation.

Another feature that defines useful coordinate geometry video content is the natural build-up of concepts. In many cases, learners who struggle with mathematics find it difficult not because the topic is hard but because it was taught too fast. A quality video will first show what a coordinate plane is. It will explain axes, origin, and plotting of points. It will then progress to real data. Perhaps a video shows a student plotting marks obtained in tests versus time. This practical approach builds foundation. From here, videos can introduce the use of formulas through relatable situations. This is where technology bridges the gap between concept and application.

It is also critical that video lessons provide voice explanations that are not robotic or overly dramatic. The tone must feel like a teacher calmly explaining in a real classroom. A student watching must not feel rushed or overwhelmed. Research from across various learning systems has shown that videos with a calm, clear, and consistent voice improve attention span, especially among learners between 12 and 17 years of age. When students from countries like Bangladesh, Kenya, UAE, or even Germany try to revise coordinate geometry, they often search for content that is not culture-specific. A strong video uses examples that any learner in any part of the world can understand without extra context.

For CBSE students, the board examination pattern has shown a consistent preference for application-based questions in recent years. Coordinate geometry is no longer limited to straightforward formula application. Questions are now framed around word problems, geometric proof, and even mixed concepts involving algebra. Videos that prepare learners for this level of integration are the ones that truly help students score well. They save the time it would take to solve through trial and error.

A helpful aspect that successful video creators often add is the inclusion of small checkpoints during the video. For instance, after explaining the section formula, the video may pause and give the learner a simple question to try. This interactivity keeps the learner engaged. A question from a real CBSE pre-board paper is even better. Students then see the real value in what they are learning. They know this exact style of question may appear in their exams.

Another effective approach seen in high-ranking educational videos is comparative problem solving. A good coordinate geometry video may take one question and show how it would be asked in CBSE, ICSE, and IGCSE. The video walks the learner through each variation. The student is not only learning to solve a problem. They are learning to adapt. This technique boosts understanding and prepares students for future studies in subjects like engineering, data science, geography, and economics.

It is also worth noting that top-performing videos in this category do not depend on flashy editing or background music. Instead, they stay focused on clean diagrams, uncluttered blackboard-style presentation, and consistent pacing. Videos that include graph papers on screen, proper use of coordinate axes, and labelled steps often receive better responses from viewers. These are the types of videos that CBSE teachers themselves recommend during revision time.

Students across the world search for specific queries like “how to find midpoint of a line joining two coordinates,” or “CBSE board question on area of triangle using coordinate geometry.” These searches tell us that learners are not just looking for concepts. They are looking for solutions. They want direct answers backed by stepwise reasoning. A good video on this topic provides just that without skipping steps or using shortcuts that are not accepted in board exams.

There is also high demand for bilingual content. Videos in English with clear subtitles or occasional Hindi explanation help cater to a broader audience. In some regions, students prefer explanations in Urdu, Tamil, or Bengali. In others, English alone is preferred. Creators who want to reach this wider audience design their content in a way that remains understandable regardless of language preferences. This makes the videos useful for students in both urban and rural areas across continents.

When preparing for exams, students and teachers also look for crash course style content. These are short, focused videos on coordinate geometry that revise everything in 20 minutes. Such videos gain popularity especially close to board exams, mock tests, and scholarship examinations. A video that highlights the most asked questions from the last ten years of CBSE and includes solution walkthroughs becomes invaluable. The most effective ones even begin by showing students how many marks coordinate geometry carries in the paper and how it connects to internal assessments and project work.

Lastly, successful videos on coordinate geometry often tie in practical questions students may face beyond exams. For example, how coordinate geometry applies in designing sports fields, maps, navigation apps, or even photo filters. This inspires students. They no longer see mathematics as just a subject but as a foundation to real-world problems they may one day solve themselves.

The global success of a video on coordinate geometry depends on many factors. It must be technically correct, but also educationally effective. It must be rooted in past question trends but also teach the topic in an intuitive way. It must be inclusive in tone, rich in content, and light on unnecessary distractions. Videos that follow these principles naturally rise to the top and remain relevant year after year. They continue to be watched not only by students but also by parents, teachers, and even learners returning to study after many years.

The journey of understanding coordinate geometry is not confined to one board or one country. It is a topic that connects learners around the world through numbers and logic. With the right video content, students everywhere can experience this chapter in a way that leaves a lasting understanding. And that is the true success of education in the digital age.

Thursday, July 17, 2025

How to Formulate Linear Programming Problems in Applied Mathematics: CBSE Class 12 Fertilizer Cost Example

LPP Cost Minimization CBSE 12 | Math Model Solved Fast


When it comes to Applied Mathematics in Class 12, one of the most practical and widely used concepts is Linear Programming. It combines logic, algebra, and real-world decision-making. This blog post dives deep into one of the most essential board-level problems where a farmer must decide how to mix two types of fertilizers to minimize his cost while fulfilling soil requirements. If you’re preparing for your board exams, competitive tests, or just want a better understanding of how math is used in agriculture and economics, this is for you.

✅ Watch the full video below to follow along with the step-by-step solution and see how real exam questions are approached.




Understanding the Problem

In this classic board exam question from the CBSE Class 12 Applied Mathematics curriculum, a farmer needs at least 14 kg of nitrogen and 14 kg of phosphoric acid for his crop. There are two types of fertilizers available:

  • Fertilizer F₁ contains 10% nitrogen and 6% phosphoric acid and costs Rs.6 per kg.

  • Fertilizer F₂ contains 5% nitrogen and 10% phosphoric acid and costs Rs.5 per kg.

The objective is to minimize the total cost while meeting the nutrient requirements of the soil.

To solve this problem, we must formulate it as a linear programming problem (LPP). This is exactly the type of modeling question that appears frequently in the CBSE Class 12 Applied Mathematics board paper, particularly in the 2024 and 2025 editions. It also aligns with the expectations from ISC Applied Maths, IGCSE Extended Maths, IB Diploma HL and SL, Edexcel A Level Maths, and even entrance-oriented mathematics found in economics and business-related exams.

Minimize:
Z = 6x + 5y

Subject to:
2x + y ≥ 280
3x + 5y ≥ 700
x ≥ 0, y ≥ 0

Why This Problem Matters

This problem is not just academic. It is a direct representation of how mathematics supports cost-effective decision-making in industries like farming, manufacturing, and logistics. When framed properly, such problems lead to linear optimization models, which are used globally in business and operations research. Understanding how to formulate these problems accurately is essential for students aiming to work in economics, agriculture planning, data science, supply chain, and more

Tuesday, July 15, 2025

Simplify √63 − √175 + √28 Easily | Step-by-Step Solution That Works in All Exams

 vi

  • Solve √63 − √175 + √28 Without a Calculator | Clear Explanation






  • Simplify Square Roots Easily: Watch the Video Above

    In this lesson, we walk you through how to simplify the expression:

    Square root of 63 minus square root of 175 plus square root of 28

    This expression is broken down into simpler parts using clear steps, making it easy to understand and solve without confusion. By the end of the video, you will see how each square root is simplified using perfect square factors, and how similar terms are combined. The final answer is easy to reach once each step is explained with logic and clarity.


    Why This Video Is Useful for So Many Exam Boards

    Simplifying square roots is a key part of algebra and number work in many school and college-level exams around the world. This topic is important whether you are studying in a classroom, preparing for a board exam, or learning independently. The approach shown in this video fits into many official curricula and exams such as:

    • GCSE Mathematics: This is a standard part of the number section. You will find similar questions in AQA, Edexcel, OCR, and other UK exam boards.

    • IGCSE and Cambridge International: These exams expect students to simplify square roots and work with radical expressions without using a calculator.

    • International Baccalaureate (IB): Both the Applications and Interpretation and the Analysis and Approaches streams include this type of problem in their core skills.

    • Edexcel International GCSE: The skills shown in this video match the types of simplification questions given in both Foundation and Higher papers.

    • CBSE and ICSE Boards: Students in India often see these kinds of expressions in algebra or number system chapters. This video works as a clear support for Class 9 and Class 10 maths.

    • State Boards and NIOS: Students studying under state-level syllabi or the National Institute of Open Schooling can also benefit from the step-by-step solution style.

    • SAT and ACT Exams: These tests for university admission in many countries include questions on simplifying radicals and working with square roots in exact form.

    • CUET and Entrance Exams: In competitive university entrance tests, simplifying square roots helps solve larger algebra problems quickly.

    • WAEC, NECTA, and BECE: Learners in Africa taking regional and national exams will find this method very helpful.

    • Math Olympiads: Students preparing for national or international math competitions often need to solve similar problems to arrive at exact answers.


    Step-by-Step Breakdown from the Video

    To help you follow along, here is a simplified version of the steps from the video:

    1. Start with the original expression
      Square root of 63 minus square root of 175 plus square root of 28

    2. Break each number into perfect square factors

      • 63 is 9 times 7

      • 175 is 25 times 7

      • 28 is 4 times 7

    3. Take square roots of the perfect square parts

      • Square root of 63 becomes 3 times square root of 7

      • Square root of 175 becomes 5 times square root of 7

      • Square root of 28 becomes 2 times square root of 7

    4. Now combine the simplified terms

      • 3 times square root of 7

      • minus 5 times square root of 7

      • plus 2 times square root of 7

    5. Final calculation

      • 3 minus 5 plus 2 equals 0

      • So, the simplified result is 0


    Learn Visually and Practice Along

    You can pause the video at any time and work through the steps on your own. The visual format allows you to rewind and understand the explanation fully before moving to the next part. The language is simple and the method works the same way in all exam systems.

    If you are learning from home or reviewing before an exam, this video is ideal for quick revision. It also supports blended learning environments where video content is used during lessons or assignments.


    Who Should Watch This

    This video will help:

    • School students preparing for maths papers in national or international exams

    • University applicants practicing for SAT, ACT, or other math-based entrance tests

    • Tutors and teachers looking for clear explanations to use in lessons

    • Parents helping their children with revision and daily homework

    • Independent learners who want to strengthen their algebra 

    Thursday, July 3, 2025

    Class 10 Maths Chapter 3 Solved Board Questions and Sample Paper Solutions for CBSE and Global Exams



    CBSE CLASS 10 MATHS 

    A few of the Videos in the playlist 


    If the system of linear equations 2x+3y=7 2ax+(a+b)y=28 has infinite number of solutions, find a and b



    Solve [2/(√x)] + [3/(√y)] = 2 [4/(√x)] - [ 9/(√y)] = (-1) where x an y are positive


    The sum of a two digit number and the number obtained by reversing the digits is 66. If the digits of the number differ by 2, find the number. How many such numbers are there?


    If 217x+131y=913 and 131x+217y=827 then solve the equations for the values of x and y

    Rehana went to a bank to withdraw ₹2000. She asked the cashier to give her ₹50 and ₹100 notes only. Rehana got 25 notes only. Find how many notes of ₹50 and ₹100 notes did she receive



    CBSE CLASS 10 MATHS 


    Mastering Class 10 Maths Chapter 3 Board Questions and Sample Paper Solutions for Worldwide Success

    Mathematics can feel overwhelming to many students, especially when they face topics that require both logic and careful calculation. Chapter 3 of Class 10 CBSE Maths, which focuses on linear equations in two variables, is one of those chapters that demands not just memorization but a clear understanding of concepts. This chapter appears repeatedly in major school examinations, including CBSE board exams, and is also widely covered in international curricula such as IGCSE, IB MYP, ICSE, GCSE, and other advanced school systems that prepare students for global academic success.

    In this blog post, we explore a dedicated video playlist that brings together real board questions and sample roblems from Chapter 3. Each video breaks down the problems into simple steps, explaining the logic clearly and helping students understand what examiners expect in written answers. The playlist is not limited to Indian students. Its clarity and structure benefit learners worldwide who are looking for a reliable way to study and improve their performance in linear equations.

    This post will show you how the playlist offers more than solutions. It provides a step by step learning experience that builds a strong foundation for students appearing for different school boards and entrance exams across the world. Whether you are studying under CBSE or preparing for SAT Math, Edexcel, or any international school-level mathematics assessment, this resource can support your learning and raise your confidence.


    Why Chapter 3 Deserves Special Focus

    Linear equations in two variables is a topic that forms a bridge between arithmetic and algebra. It gives students their first real experience of working with two unknowns, applying logic to solve real life problems, and exploring mathematical relationships in a structured format. That is why this chapter holds importance not only in the CBSE curriculum but also in international education systems.

    From calculating prices of different items to solving train problems, and from analyzing distance and time to interpreting finance-based questions, this chapter teaches practical skills. In international board exams, this topic is presented in a variety of forms. Whether through word problems, graphs, or substitution based equations, students are expected to apply both logic and method. The video playlist we are discussing includes exactly these types of problems. It trains the student to go beyond memorizing formulas and teaches them how to use math as a tool for thinking.


    How This Playlist Helps Students Succeed

    The playlist is built to mirror real examination formats. It includes problems that have appeared in actual CBSE board exams and also covers examples that are modeled after sample papers. These questions follow the marking scheme and difficulty levels usually found in board patterns. They are the kind of problems that teachers set in preboards, mock tests, and midyear assessments.

    The videos do not simply show answers. They walk students through the reasoning behind each step. When a student watches these explanations, they do not just learn how to solve that one question. They learn how to approach similar problems on their own. The playlist encourages a deeper understanding of topics like finding unique solutions, identifying when systems have no solution, and interpreting the meaning of intersecting lines.

    For students who learn better visually, this format is especially helpful. Each step is shown clearly, and common mistakes are discussed so learners can avoid them. The tone of explanation is calm and encouraging, making it ideal for learners who may feel anxious about mathematics.


    Real Questions, Real Practice, Real Results

    This playlist includes questions that are not imaginary. They are taken from past papers and practice sets used by schools and coaching centers. These are the same kinds of questions that students will see in their final board examinations. That means every minute spent watching these videos directly supports the exam preparation process.

    Unlike generic tutorials, this resource focuses on what matters most. It covers core types of problems from Chapter 3, including both numerical and word problems. It includes questions that ask students to draw graphs, solve equations using elimination or substitution, and even identify when two lines represent the same equation.

    In global terms, the type of content offered here also prepares students for math units that appear in programs like Cambridge IGCSE, International Baccalaureate Middle Years Program, American Common Core Algebra, Australian Year 10 Mathematics, and Singapore O level Mathematics.


    Easy to Understand for Every Type of Learner

    One of the biggest advantages of this playlist is that it makes learning easier for all types of students. Some students understand quickly when they read textbook examples, but many others need guided explanations. This playlist serves as a helpful companion for both types of learners.

    Those who are just beginning their exam preparation can use it to learn the methods from scratch. Those who are almost done with the syllabus can use it for quick revision. It is also a great support for students who have missed classes or did not understand the topic when it was first taught. Even for students preparing for improvement exams or attempting to move from average scores to top marks, this playlist provides what they need.

    Teachers can also use the videos to reinforce classroom lessons or assign them as part of homework. Parents looking to support their children during board preparation will find that these videos explain everything clearly, without rushing through steps or assuming prior understanding.


    Works for Both National and International Exams

    Even though the playlist is centered on the CBSE syllabus, the way the content is explained makes it useful for students across the globe. That is because the core topic — solving systems of linear equations — is common in high school math around the world.

    Whether a student is preparing for SAT Subject Tests, Edexcel international GCSE, Advanced Placement math units, or Cambridge checkpoint assessments, they will find these concepts familiar. The terminology may vary slightly from country to country, but the logic, formulas, and problem solving strategies are essentially the same.

    This is why the playlist has value not just for Indian students but for any student studying mathematics in English at the Grade 9 or Grade 10 level. It helps them understand not just how to do the math, but why each step works.


    Flexible Learning on Your Own Time

    Students today have different learning schedules. Some study early in the morning, others late at night. Some have tutors, others study alone. This playlist is designed for flexible learning. Students can pause, rewind, or replay any part of the video. They can solve problems along with the explanation or take notes for later.

    Because the videos are part of a single playlist, learners can move through the chapter in a structured way. They can focus on one question type at a time or mix and match topics depending on what they want to revise. This freedom makes learning math much less stressful.

    It also helps students build good habits. When they regularly practice with clear explanations, their problem solving becomes faster and more accurate. They learn how to avoid careless mistakes, how to organize their working clearly, and how to write solutions that examiners find easy to mark.


    No More Guesswork, Only Clear Strategy

    One of the reasons students lose marks in board exams is not because they do not know the answer, but because they do not present their solution properly. This playlist shows exactly how to write step by step solutions that follow board marking schemes. It also teaches students how to recognize what the question is really asking and how to apply the right method.

    Whether the question involves framing equations from a word problem, using elimination to remove a variable, or checking for conditions of no solution or infinite solutions, these videos train students to approach each type with confidence.

    This kind of focused preparation is what gives students an edge in the final exam. It removes the guesswork and replaces it with method.


    Start Watching and See the Change

    Every student wants to improve. Every teacher wants their students to succeed. Every parent wants their child to feel confident. This playlist supports all of these goals. It takes a difficult topic and turns it into a subject that students can master with practice and understanding.

    You do not need expensive coaching or thick guidebooks. All you need is the right resource, used in the right way. This playlist is that resource. It was created to serve not just as a solution guide, but as a study tool for success in mathematics exams all around the world.

    Start watching today and make it a part of your daily study. With consistent use, you will find that your speed, accuracy, and confidence improve. The marks will follow

    Tuesday, July 1, 2025

    Find the Value of p for Infinitely Many Solutions | Class 10 Linear Equations CBSE ICSE IGCSE Math Trick

     Find the value of p for which the following system of linear equations has infinitely many solutions: x+(p+1)y = 5; (p + 1)x+9y= 8p-1





    a₁x + b₁y = c₁  
    a₂x + b₂y = c₂

    a₁/a₂ = b₁/b₂ = c₁/c₂

    is the required condition