### Geometrical Proof of $$(a+b)^3$$

Geometrically $$(a+b)^3$$ is a cube of side (a+b) ...

### Plane in normal form

Given unit normal vector and distance of plane from origin to find equation of plane in normal form ...

### Frustum of a Cone

A cone divided by a plane resulting a cone and frustum of a cone...

### Area of a Circle

Given slices of circle, putting them in rectangular shape, therefore area of circle is equal to area of rectangle ...

### Euclid’s Division Lemma

Given positive integers a and b, there exist unique integers q and r satisfying a = bq + r, 0 ≤ r < b.

### Fundamental Theorem of Arithmetic

Every composite number can be expressed or factorised as a product of primes, and this factorisation is unique, apart from the order in which the prime factors occur.

### NCERT Class 10

#### Euclid’s Division Lemma & Algorithm

Given positive integers a and b, there exist unique integers q and r satisfying a = bq + r, 0 ≤ r < b.

#### Fundamental Theorem of Arithmetic

Every composite number can be expressed or factorised as a product of primes, and this factorisation is unique, apart from the order in which the prime factors occur.

#### Irrational Numbers

Let p be a prime number. If p divides $$a^2$$, then p divides a, where a is a positive integer.