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13/09/2025

πŸ“˜βœ¨ CENTROID OF A TRIANGLE – EASY TRICK! βœ¨πŸ“˜

Every triangle has a special balancing point called the Centroid (G). 🎯
It’s where all three medians (lines from vertex to midpoint of opposite side) meet!

πŸ‘‰ The best part? You don’t need to draw – you can calculate directly from the vertices.

🧠 Concept:

If a triangle has vertices A(x₁, y₁), B(xβ‚‚, yβ‚‚), and C(x₃, y₃), then the Centroid is simply the average of all x’s and all y’s.

πŸ“ Example:

For triangle A(2, 4), B(6, 8), C(4, 10):

Average of x’s = (2 + 6 + 4) Γ· 3 = 12 Γ· 3 = 4

Average of y’s = (4 + 8 + 10) Γ· 3 = 22 Γ· 3 β‰ˆ 7.33

βœ… So, Centroid G = (4, 7.33)

πŸ’‘ Trick to remember:
πŸ‘‰ Just take the mean of all the x-coordinates and the mean of all the y-coordinates!

πŸ“ Fun Fact: The centroid divides each median in the ratio 2 : 1 (from vertex to midpoint).

At I CAN MATHS, we make geometry look logical, not scary 🧠⚑

πŸŽ₯ Watch carefully with example
πŸ” Save this reel for exam prep
πŸ“² Share with your friends
πŸ’¬ Comment β€œI CAN” if you understood centroid magic!

πŸ‘‰ πŸ“Ί Watch the full explanation on YouTube:
https://youtube.com/?si=qhC0m6W_9I-YRQZZ

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13/09/2025

πŸ“˜βœ¨ EXTERNAL DIVISION – LINE SEGMENT MADE SIMPLE! βœ¨πŸ“˜

We already know how to divide a line segment internally (point lies between A and B).
But what if the point lies outside the line segment? πŸ€”
That’s where External Division comes in! 🎯

🧠 Concept:

πŸ‘‰ Suppose a point P divides the line joining A(x₁, y₁) and B(xβ‚‚, yβ‚‚) externally in the ratio m : n.
That means P is not between A and B, but still maintains the same ratio of distances beyond the line! πŸ“

πŸ“ Example:

Find the point that divides A(2, 4) and B(8, 10) externally in the ratio 2 : 1.

1️⃣ Multiply A’s coordinates by 2 and B’s coordinates by –1 (because it’s external).

For x β†’ (2Γ—2) + (8×–1) = 4 – 8 = –4

For y β†’ (4Γ—2) + (10×–1) = 8 – 10 = –2

2️⃣ Add the results and divide by (m – n) = (2 – 1 = 1).

x = –4 Γ· 1 = –4

y = –2 Γ· 1 = –2

βœ… So, P = (–4, –2)

πŸ’‘ Trick:

Internal division β†’ add the weights (m + n)

External division β†’ subtract the weights (m – n)
That’s the only difference!

At I CAN MATHS, we break down tough geometry into easy memory hacks 🧠⚑

πŸŽ₯ Watch carefully with the worked example
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πŸ’¬ Comment β€œI CAN” if you got the difference between internal & external division!

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13/09/2025

πŸ“˜βœ¨ SECTION FORMULA – DIVIDING A LINE SEGMENT MADE EASY! βœ¨πŸ“˜

Want to find the coordinates of a point that divides a line segment into a given ratio? πŸ“πŸ“
That’s where the Section Formula comes in! 🎯

🧠 Concept:

Imagine a line joining two points A(x₁, y₁) and B(xβ‚‚, yβ‚‚).
Now, there’s a point P that divides AB in the ratio m : n.
πŸ‘‰ To find P, we simply take the weighted average of x’s and y’s!

πŸ“ Example:

Find the point that divides A(2, 4) and B(8, 10) in the ratio 1 : 2.

1️⃣ Multiply A’s x by 1, B’s x by 2 β†’ (2Γ—1, 8Γ—2) = (2, 16)
2️⃣ Add them β†’ 2 + 16 = 18
3️⃣ Divide by total ratio (1+2=3) β†’ 18 Γ· 3 = 6
So, x = 6 βœ…

4️⃣ Do the same for y β†’ (4Γ—1, 10Γ—2) = (4, 20) β†’ (4+20)=24 β†’ 24 Γ· 3 = 8
So, y = 8 βœ…

Hence, point P = (6, 8) 🎯

πŸ’‘ Tip: Multiply β†’ Add β†’ Divide β†’ That’s the trick!
It’s just like finding a balance point between two coordinates βš–οΈ

At I CAN MATHS, we turn tough-looking formulas into easy step-by-step tricks 🧠⚑

πŸŽ₯ Watch carefully with the worked example
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πŸ’¬ Comment β€œI CAN” if you mastered Section Formula!

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03/09/2025

πŸ“˜βœ¨ MIDPOINT OF A LINE SEGMENT – MADE SUPER SIMPLE! βœ¨πŸ“˜

Ever wondered how to find the exact middle point between two points on a graph? πŸ“πŸ“
That’s what the Midpoint is all about! 🎯

🧠 Step-by-Step (Concept Style):

1️⃣ Take two points β†’ A(x₁, y₁) and B(xβ‚‚, yβ‚‚)
2️⃣ To find the point in the middle, just average the x-values and average the y-values
3️⃣ That gives the coordinates of the midpoint βœ…

πŸ“ Example:

Points (2, 4) and (6, 8)

Average of x-values = (2 + 6) Γ· 2 = 4

Average of y-values = (4 + 8) Γ· 2 = 6
So, the midpoint is (4, 6) 🎯

πŸ’‘ Think of it like this β†’ the midpoint is simply the β€œhalfway mark” of both x and y directions.

At I CAN MATHS, we show you how to understand maths, not just memorise it! 🧠⚑

πŸŽ₯ Watch step by step with example
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πŸ’¬ Comment β€œI CAN” if you understood midpoint magic!

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01/09/2025

πŸ“˜βœ¨ DISTANCE BETWEEN TWO POINTS – MADE EASY (NO FORMULA)! βœ¨πŸ“˜

Want to know how far two points are apart in a graph? πŸ“πŸ“
Don’t worry, here’s the trick explained in the simplest way – no formula mugging required! πŸ’‘

🧠 Step-by-Step:

1️⃣ Look at the two points β†’ A(x₁, y₁) and B(xβ‚‚, yβ‚‚)
2️⃣ Find how much the x-values change (sideways difference)
3️⃣ Find how much the y-values change (up–down difference)
4️⃣ Make a right-angled triangle with these two differences
5️⃣ Use Pythagoras Theorem β†’ Distance is the slant (hypotenuse) βœ”οΈ

πŸ“ Example:

Points (1, 2) and (4, 6)

Sideways difference = 3

Up–down difference = 4

Right triangle sides = 3 and 4

Hypotenuse = 5 βœ…

So the distance between the two points is 5 units. 🎯

πŸ’‘ See? Just think of it as a right triangle inside the graph – the distance is always the slant side! πŸ“βœ¨

At I CAN MATHS, we teach concept clarity over formula mugging 🧠⚑

πŸŽ₯ Watch carefully with example
πŸ” Save this reel for revision
πŸ“² Share with your friends
πŸ’¬ Comment β€œI CAN” if you understood this trick!

31/08/2025

πŸ“˜βœ¨ SOLUTION OF LINEAR EQUATIONS – MADE SUPER EASY! βœ¨πŸ“˜

Linear Equations are the foundation of algebra πŸ”‘ – and solving them is easier than you think! πŸ’―

πŸ‘‰ A linear equation in one variable looks like:
ax + b = 0
βœ”οΈ Solution = x = –b / a

πŸ‘‰ For two variables (x & y):
ax + by + c = 0
You need at least two equations to solve. Methods:
1️⃣ Substitution Method – Replace one variable with its value
2️⃣ Elimination Method – Add/Subtract to eliminate one variable
3️⃣ Cross-Multiplication Method – Quick shortcut for exams

πŸ‘‰ For three variables (x, y, z):
You’ll need three equations to solve simultaneously – elimination is the go-to!

πŸ’‘ Real-life connection:
Linear equations aren’t just math – they’re used in business, physics, economics, and daily life for solving balance & relations! βš–οΈπŸ“Š

At I CAN MATHS, we don’t just solve equations…
πŸ‘‰ We make you see the logic behind them! 🧠✨

πŸŽ₯ Watch carefully step by step
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πŸ“² Share with your study group
πŸ’¬ Comment β€œI CAN” if equations feel easy now!

29/08/2025

πŸ“˜βœ¨ FACTORISATION METHOD – TYPE 1 (QUADRATICS) MADE EASY! βœ¨πŸ“˜

Quadratic equations don’t have to be scary! 😰 Let’s solve them step by step without memorizing formulas.

🧠 Type 1: Simple Quadratic

Form: Something like:
xΒ² + 5x + 6 = 0

How to Solve:
1️⃣ Look at the last number (6). Find two numbers that multiply to 6.
2️⃣ Check which of these two numbers add up to the middle number (5).
3️⃣ Once you find them (2 and 3), write the factors as:
(x + 2)(x + 3) = 0
4️⃣ Solve each factor:
x + 2 = 0 β†’ x = –2
x + 3 = 0 β†’ x = –3

πŸ’‘ Tip: Just think of multiplication and addition, nothing else!

Works perfectly when the coefficient of xΒ² is 1.

No formulas needed, just logic & observation. βœ…

At I CAN MATHS, we teach easy tricks that make tough problems simple! 🧠⚑

πŸŽ₯ Watch step by step
πŸ” Save this reel for revision
πŸ“² Share with your friends
πŸ’¬ Comment β€œI CAN” if you solved it easily!

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28/08/2025

πŸ“˜βœ¨ SOLUTION OF QUADRATIC EQUATIONS – COMPLETE GUIDE! βœ¨πŸ“˜

Quadratic Equations look tough? 😰 Don’t worry – here are the smart ways to solve them πŸ”₯

πŸ‘‰ A quadratic equation is in the form:
axΒ² + bx + c = 0

βœ… 4 Powerful Methods:

1️⃣ Factorization Method – Split the middle term & factorize
2️⃣ Completing the Square Method – Make it a perfect square, then solve

🎯 Nature of Roots (using Discriminant D = bΒ² – 4ac):

πŸ’‘ Exam Tip: Use factorization when numbers are simple,
and the formula method when the equation looks tricky! ⚑

At I CAN MATHS, we make quadratics feel like simple puzzles, not problems. πŸ§ πŸ’―

πŸŽ₯ Watch carefully step by step
πŸ” Save this reel for quick revision
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πŸ’¬ Comment β€œI CAN” if quadratics feel easy now!

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27/08/2025

πŸ“˜βœ¨ QUADRATIC EQUATION – FORMULA METHOD MADE SIMPLE! βœ¨πŸ“˜

Stuck with solving quadratics? πŸ€” Don’t worry – the Formula Method is your best friend in exams! πŸ’―

πŸ’‘ This method is foolproof – works for any quadratic, no matter how tough!

At I CAN MATHS, we don’t just solve problems, we give you the confidence to crack exams. 🧠πŸ”₯

πŸŽ₯ Watch carefully till the end
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πŸ’¬ Comment β€œI CAN” if you nailed the formula!

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26/08/2025

πŸ“˜βœ¨ DETERMINE THE QUADRATIC EQUATION – IN SECONDS! βœ¨πŸ“˜

Want to create a quadratic without solving long steps? Here’s the master shortcut every topper uses! πŸ”₯

🧠 Core Idea

If the roots are Ξ± and Ξ², then the equation is:
xΒ² – (Ξ± + Ξ²)x + (Ξ±Ξ²) = 0

πŸ› οΈ Use These 3 Quick Cases

Given two roots (Ξ±, Ξ²):
➀ Equation: xΒ² – (Ξ±+Ξ²)x + (Ξ±Ξ²) = 0
Example: roots 2 and 3 β‡’ xΒ² – 5x + 6 = 0

Given Sum (S) & Product (P):
➀ Equation: xΒ² – Sx + P = 0
Example: S = 7, P = 10 β‡’ xΒ² – 7x + 10 = 0

Conjugate / Surd pair given:
If one root is a + √b, the other is a – √b
➀ Equation: xΒ² – 2ax + (aΒ² – b) = 0
Example: 2 Β± √3 β‡’ xΒ² – 4x + 1 = 0

βš–οΈ Leading Coefficient Tip

Want it with a leading a β‰  1? Multiply all terms by a:
axΒ² – a(S)x + a(P) = 0

🎯 Exam Hack

From conditions like β€œsum of roots = …” or β€œproduct of roots = …”, jump straight to the equation.

Works brilliantly in Boards | JEE | NEET time-pressure questions!

At I CAN MATHS, we turn formulas into instant answers. 🧠⚑

πŸŽ₯ Watch β†’ πŸ” Save β†’ πŸ“² Share with your study squad
πŸ’¬ Comment β€œI CAN” if this unlocked it for you!

β€”



Welcome to ICAN MATHS – by A. Ramachandran M.Sc., B.Ed.,

I'm A. Ramachandran, a passionate mathematics educator with 15 years of teaching experience, here to make math simple, clear, and confidence-boosting for every learner.

At ICAN MATHS, we believe every student CAN learn and love mathematicsβ€”when it's taught the right way. Whether you're a school student or preparing for board and competitive exams, this channel is your learning partner.

What you’ll find here:

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If you're ready to say β€œI CAN understand Maths!”, hit Subscribe and start learning with confidence.

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