April 2021

The Fundamental Theorem of Arithmetic Class 10th

Introduction The Fundamental Theorem of Arithmetic is related to Number System. We have already studied prime numbers and composite numbers. The numbers which are divisible by 1 or the number itself are called the Prime Numbers and the numbers which are divisible by other numbers also are called the Composite Numbers. The factors of a …

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Euclid’s Division Lemma Class 10th

Introduction EuclidтАЩs Division Lemma is generally an algorithm that is derived by Greek Mathematician Euclid. This lemma is based on the Division of Real Numbers. We have already studied the division algorithm, in which if we divide a number by another number we get two numbers a quotient and a remainder (sometimes the remainder may …

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Area of Triangle in Coordinate Geometry Class 10th

Introduction Before finding the Area of Triangle in Coordinate Geometry, We know that area of a triangle if its Base and Height are given Area of triangle = ┬╜типBaseтипHeight If all the three sides of a triangle are given then the area of the triangle by HeronтАЩs formula Area of triangle = тИЪs(s-a)(s-b)(s-c)                     Where, s …

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nth Term (General Term) of an Arithmetic Progression Class 10th

Derivation To find the nth term (general term) of an Arithmetic Progression, First of all, We know the general form of an Arithmetic Progression which is given as a, a + d, a + 2d, a + 3d, a + 4d,тАжтАжтАжтАжтАж..a + (n тАУ 1)d Here, we can see that the first term is a. …

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Triangle and its Properties Class 10th

Definition A Closed figure made of three line segments is called a Triangle. It has three sides, three angles, and three vertices. Here, Triangle ABC and its Properties are shown below. Three sides тАУ AB, BC, CA Three angles тАУ тИаA, тИаB, тИаC Three vertices тАУ A, B, C Classification of Triangles тАУ тЮд Based on …

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PYTHAGORAS THEOREM

Pythagoras Theorem (Boudhayana Theorem) Class 10th

Introduction The Pythagoras theorem is given by the Greek mathematician Pythagoras. Before Pythagoras, this theorem was discovered by Indian mathematician Boudhayana so this theorem is also known as Boudhayana Theorem. This theorem is also called Pythagorean Theorem. Statement – According to this theorem, In a right-angled triangle, the square of the hypotenuse side is equal …

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