Mathematics Class 6th To Class 12th All Formula

Mathematics Class 6th To Class 12th All Formula: कक्षा 6वीं से 12वीं तक गणित विषय की सभी फार्मूला करें यहां से डाउनलोड

Mathematics Class 6th To Class 12th All Formula

अगर आप भी गणित के 10वीं तथा 12वीं कक्षा से है और आप सभी को गणित के सभी फार्मूले की जरूरत है तो आप सभी को इस आर्टिकल में गणित के दसवीं कक्षा तथा 12वीं कक्षा के सभी फार्मूले दिए गए हैं और वह भी बहुत ही सरल तरीके से जिसे कि आप सभी आसानी पूर्वक पढ़ सकते हैं एवं नोट कर सकते हैं तथा पीडीएफ भी डाउनलोड कर सकते हैं इसलिए आप सभी अगर गणित के फार्मूले को डाउनलोड करना चाहते हैं तो आप सभी इस आर्टिकल की मदद से आसानी पूर्वक कर सकते हैं इसलिए आप सभी आर्टिकल में बताए गए सभी फॉर्मूलाओं को ध्यानपूर्वक पढ़े तथा डाउनलोड करें

If you are also from class 10th and 12th of Mathematics and you all need all the formulas of mathematics, then in this article all the formulas of class 10th and 12th of Mathematics have been given to you and that too in a very simple way which you all can easily read and note and can also download PDF, so if you all want to download the formula of mathematics, then you all can do it easily with the help of this article, so all of you read all the formulas mentioned in the article carefully and download them.

Algebraic formulas

(a+b)²= a²+ b²+ 2ab
(a-b)²= a²+ b²– 2ab
(a+b) (a-b) = a²– b²
(x + a)(x + b) = x² + (a + b)x + ab
(x + a)(x – b) = x² + (a – b)x – ab
(x – a)(x + b) = x² + (b – a)x – ab
(x – a)(x – b) = x² – (a + b)x + ab
(a + b)³ = a³ + b³ + 3ab(a + b)
(a – b)³ = a³ – b³ – 3ab(a – b)
(x + y + z)² = x² + y² + z² + 2xy + 2yz + 2xz
(x + y – z)² = x² + y² + z² + 2xy – 2yz – 2xz
(x – y + z)² = x² + y² + z² – 2xy – 2yz + 2xz
(x – y – z)² = x² + y² + z² – 2xy + 2yz – 2xz
x³ + y³ + z³ – 3xyz = (x + y + z)(x² + y² + z² – xy – yz -xz)
x²+ y² =½ [(x + y)² + (x – y)²]
(x + a) (x + b) (x + c) = x³ + (a + b +c)x² + (ab + bc + ca)x + abc
x³ + y³= (x + y) (x² – xy + y²)
x³ – y³ = (x – y) (x² + xy + y²)
x² + y² + z² -xy – yz – zx = ½ [(x-y)² + (y-z)² + (z-x)²]

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बीजगणित सूत्र

Basic formulas for powers

p^mx pⁿ= p^m+n
{p^m}⁄{pⁿ} = p^m-n
(p^m)ⁿ= p^mn
p^-m = 1/p^m
p¹ = p
P⁰= 1

Angle	0°	30°	45°	60°	90°
Sinθ	0	1/2	1/√2	√3/2	1
Cosθ	1	√3/2	1/√2	½	0
Tanθ	0	1/√3	1	√3	Undefined
Cotθ	Undefined	√3	1	1/√3	0
Secθ	1	2/√3	√2	2	Undefined
Cosecθ	Undefined	2	√2	2/√3	1

Other Trigonometric formulas:

sin(90° – θ) = cos θ
cos(90° – θ) = sin θ
tan(90° – θ) = cot θ
cot(90° – θ) = tan θ
sec(90° – θ) = cosecθ
cosec(90° – θ) = secθ
sin²θ + cos² θ = 1
sec²θ = 1 + tan²θ for 0° ≤ θ < 90°
Cosec²θ = 1 + cot² θ for 0° ≤ θ ≤ 90°

Surface Area and Volumes Formulas For Class 10

The common formulas from the surface area and volumes chapter in 10^th class include the following:

Sphere Formulas

Diameter of sphere	2r
Surface area of sphere	4 π r²
Volume of Sphere	4/3 π r³

Cylinder Formulas

Curved surface area of Cylinder	2 πrh
Area of two circular bases	2 πr²
Total surface area of Cylinder	Curved surface area of Cylinder + Area of Circular bases = 2 πrh + 2 πr²
Volume of Cylinder	π r²h

Cone Formulas

Slant height of cone	l = √(r² + h²)
Curved surface area of cone	πrl
Total surface area of cone	πr (l + r)
Volume of cone	⅓ π r²h

Cuboid Formulas

Perimeter of cuboid	4(l + b +h)
Length of the longest diagonal of a cuboid	√(l² + b² + h²)
Total surface area of cuboid	2(l×b + b×h + l×h)
Volume of Cuboid	l × b × h

Here, l = length, b = breadth and h = height. In case of Cube, put l = b = h = a, as cube all its sides of equal length, to find the surface area and volumes.

Class 6 Maths formulas

1,000,000,000 is called one billion.
Anything divided by zero is called ‘undefined’.
A number is divisible by 2 if it has 0, 2, 4, 6 or 8 in one place.
A number is divisible by 3 if the sum of the digits is a multiple of 3.
A simple closed figure formed by line segments is a polygon. Triangle is a three-sided Polygon. Quadrilaterals are four-sided polygons.
An equation is a condition represented on a variable. An equation is composed of two sides, known as the Left-Hand Side and Right Hand Side, separated by an equal (=) sign.
The perimeter of a Square = 4 × Length of its side
Perimeter of a Rectangle = 2 × (Length + Breadth)
The perimeter of an Equilateral triangle = 3 × Length of a side
Area of a Rectangle = length × breadth
Variable refers to a value that is not fixed. It can take different values.
An equation is a condition represented on a variable.
An equation is composed of two sides, known as the Left-Hand Side and Right Hand Side, separated by an equal (=) sign.

Class 7 Maths formulas

Product of rational numbers = (Product of Numerators) / (Product of Denominators)
First Rational Number × (Reciprocal of other Rational Number)
Area of a Square = Side2
Perimeter of a Square = 4 × Side
Area of Rectangle = Length × Breadth
Perimeter of a Rectangle = 2 × (Length + Breadth)
Area of a Parallelogram = Base × Height
Area of Triangle = 1/ 2 × Base × Height
Circumference of a Circle = π d, where ‘d’ is the diameter of a circle and π = 22/7 or 3.14
Area of a Circle = πr2
Law of Product: am × an = am+n
Law of Quotient: am/an = am-n
Law of Zero Exponent: a0 = 1
Law of Negative Exponent: a-m = 1/am
Law of Power of a Power: (am)n = amn
Law of Power of a Product: (ab)m = ambm
Law of Power of a Quotient: (a/b)m = am/bm
(a-b) 2 = a2 – 2ab + b2
(a-b-c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ac

If their two ratios are equivalent for any four quantities, those four quantities are said to be proportionate.

Increase in Percentage = (Change / Original Amount) × 100
Profit Percentage = (Profit / Cost price) × 100
Simple Interest = (Principal × Rate × Time) / 100
Amount = Principal + Interest

Class 8 Math formulas

Additive inverse of rational number: a/b = -b/a
Multiplicative Inverse of a/b = c/d , if a/b × c/d = 1
Distributives a(b – c) = ab – ac
Probability of the occurrence of an event = Number of outcomes that comprise an event/ Total number of outcomes
Compound Interest formula = Amount – Principal, Amount in case the interest is calculated annually = Principal ( 1 + Rate/100)n, where ‘n’ is the period.
(a – b)2 = a2 – 2ab + b2
(a + b) (a – b) = a2 – b2
Euler’s Formula: For any polyhedron, Number of faces + Number of vertices – Number of edges = 2
Volume of a Cone = (1 / 3 )πr2h
Volume of a Sphere = (4/3) π r3

Class 9 Math formulas

1. Real Numbers

√ab = √a √b
√(a/b) = √a / √b
(√a + √b) (√a – √b) = a – b
(√a + √b)2 = a + 2√ab + b
(a + √b) (a – √b) = a2 – b
(a + b) (a – b) = a2 – b2

Class 10th formula

Class 12th formula

Class 5th formula

Class 6th formula

Class 7th formula

Class 8th formula

Class 9th formula

Mathematics Class 10th formula

Mathematics Class 12th formula

Mathematics Class 6th formula

Mathematics Class 7th formula

Mathematics Class 8th formula

Mathematics Class 9th formula

Mathematics Class 5th formula