[PDF] 11वीं गणित का फार्मूला | Maths Formula For Class 11 PDF

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Table of Contents

क्लास 11 के सभी फार्मूला Chapter Wise – All Maths Formula for Class 11 In Hindi PDF Free Download

गणित के सूत्र

List of Maths Formulas for 11th

Chapter 1.	Sets Formulas
Chapter 2.	Relations and Functions Formulas
Chapter 3.	Trigonometric Functions Formulas
Chapter 4.	Principle of Mathematical Induction
Chapter 5.	Complex Numbers and Quadratic Equations
Chapter 6.	Linear Inequalities
Chapter 7.	Permutations and Combinations
Chapter 8.	Binomial Theorem
Chapter 9.	Sequences and Series
Chapter 10.	Straight Lines
Chapter 11.	Conic Sections
Chapter 12.	Introduction to Three-Dimensional Geometry
Chapter 13.	Limits and Derivatives
Chapter 14.	Mathematical Reasoning
Chapter 15.	Statistics
Chapter 16.	Probability

क्लास 11 Basic Formula

Algebra Formula

a² – b² = (a – b)(a + b)
(a+b)² = a² + 2ab + b² Or a² + b² + 2ab
a² + b² = (a – b)² + 2ab Or (a + b)² – 2ab
(a – b)² = a² – 2ab + b² Or a² + b² – 2ab
(a + b + c)² = a² + b² + c² + 2ab + 2ac + 2bc
(a – b – c)² = a² + b² + c² – 2ab – 2ac + 2bc
(a + b)³ = a³ + 3a²b + 3ab² + b³ ; (a + b)³ = a³ + b³ + 3ab(a + b)
(a – b)³ = a³ – 3a²b + 3ab² – b³ Or a³ – b³ – 3ab ( a – b)
a³ – b³ = (a – b)(a² + ab + b²) Or (a – b)³ + 3ab ( a – b ) Or ( a – b ) ( a² + ab + b² )
a³ + b³ = (a + b)(a² – ab + b²) Or (a + b)³ – 3ab ( a + b )
(a + b)³ = a³ + 3a²b + 3ab² + b³ Or a³ + b³ + 3 ab ( a + B )
(a – b)³ = a³ – 3a²b + 3ab² – b³ Or a³ – b³ – 3 ab ( a – B )
(a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b⁴)
(a – b)⁴ = a⁴ – 4a³b + 6a²b² – 4ab³ + b⁴)
a⁴ – b⁴ = (a – b)(a + b)(a² + b²)
a⁵ – b⁵ = (a – b)(a⁴ + a³b + a²b² + ab³ + b⁴)

√ab = √a × √b
(ab)^1/2 = √a . b^1/2 = a^1/2 b^1/2
√a/b = √a / √b
√(a/b) = (a)^1/2 / (b)^1/2
(a-b)² = a² – 2ab + b²
(a+b)² = a² + 2ab + b²
(a+b)² + (a-b)² = 2(a² + b²)

$\left(ab\right)^{n}=a^{n}b^{n}$
$\left({a \over b}\right)^{n}={{a^{n}} \over {b^{n}}}$
$a^{n}a^{m}=a^{n+m}$
$\left.{a^{n} \over {a^{m}}}\right.=a^{n-m}$
$\left(a^{n}\right)^{m}=a^{nm}$

Maths Formulas For Class 11: Sets

N	प्राकृत संख्याओं का समुच्चय Set of natural Numbers, जैसे; N = {1, 2, 3, 4, 5,…}
Z	पूर्णांकों का समुच्चय Set of integers, जैसे; Z= {…-3, -2, -1, 0, 1, 2, 3,…}
Z⁺	धनपूर्णांकों का समुच्चय Set of positive integers, जैसे; Z⁺ = {0, 1, 2, 3,…}
R	वास्तिविक संख्याओं का समुच्चय Set of real numbers, जैसे; R = {x: -∞ < x <∞}
R⁺	धन वास्तविक संख्याओं का समुच्चय Set of positive real numbers, जैसे; R⁺ = {x: x <∞}
Q	परिमेय संख्याओं का समुच्चय Set of rational numbers, जैसे; Q= {x : x = a/b Where a, b ∈ Z}
Q⁺	धन परिमेय संख्याओं का समुच्चय Set of positive rational numbers

इसे भी पढ़े,

किन्हीं दो समुच्चयों A और B के लिए

(A∪B)′=A′∩B′
(A∩B)′=A′∪B′

यदि परिमित समुच्चय A और B इस प्रकार दिए गए हैं कि (A∩B)=ϕ तो: n(A∪B)=n(A)+n(B) होता है.

अगर (A∪B)=ϕ तो : n(A∪B)=n(A)+n(B)−n(A∩B)

Relations and Functions Maths Formulas for Class 11

दो समुच्चयों A और B का कार्तीय गुणनफल

A × B = { (a,b): a ϵ A, b ϵ B (a,b): a ϵ A, b ϵ B }

यदि (a , b) = (x , y); तो a = x और b = y
यदि n(A) = x और n(B) = y, तो n(A × B) = xy
A × ϕ = ϕ
कार्तीय गुणनफल: A × B ≠ B × A

एक फलन को f: A → B के रूप में निरूपित किया जा सकता है, जहाँ f(x) = y

फलन का बीजगणित: यदि फलन f: X → R और g: X → R;

(f+g) (x) = f(x)+g(x), xϵX
(f–g) (x) = f(x) – g(x), xϵX
(f.g) (x) = f(x).g(x), xϵX
(kf) (x) = k (f(x)), xϵX, जहाँ k एक वास्तविक संख्या है.

Maths Formulas For Class 11: Trigonometric Functions

Trigonometry Class 11 Formulas

sin⁡(−θ) =−sin⁡θ

cos⁡(−θ) = cos⁡θ

tan⁡(−θ) = −tan⁡θ

cosec(−θ) = −cosecθ

θsec⁡(−θ ) = sec⁡θ

cot⁡(−θ)= − cot⁡θ

Product to Sum Formulas

sinx siny=1/2 [cos⁡(x–y) − cos⁡(x+y)]

cosx cosy=1/2 [cos⁡(x–y) + cos⁡(x+y)]

sinx cosy=1/2 [sin⁡(x+y) + sin⁡(x−y)]

cosx siny=1/2 [sin⁡(x+y) – sin⁡(x−y)]

Sum to Product Formulas

sinx + siny=2sin⁡ (x+y/2) cos ⁡(x−y/2)

sinx − siny=2cos ⁡(x+y/2) sin ⁡(x−y/2)

cosx + cosy=2cos ⁡(x+y/2) cos⁡ (x−y/2)

cosx − cosy=–2sin (x+y/2) sin(x−y/2)

लेखक	–
भाषा	हिन्दी
कुल पृष्ठ	51
PDF साइज़	15 MB
Category	Education
Source/Credits	Google.Drive.Com

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क्लास 11 के सभी फार्मूला Chapter Wise – All Maths Formula for Class 11 in Hindi PDF Free