गणित के सभी सूत्र (All Mathematics Formulas In Hindi)

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गणित के सभी सूत्र (All Mathematics Formulas In Hindi)

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Today we are sharing an important pdf in hindi Math Formula in Hindi: गणित के सभी सूत्र (All Mathematics Formulas In Hindi) क्या आप मैMethamatics Questions को जल्द से जल्द हल करना चाहते है तो अभी Complete Maths Formula PDF देखे एवं बड़ी आसानी से इसे डाउनलोड करे। Math Formula in HIndi PDF DOWNLOAD, All Mathematics Formula in Hindi, 101 Maths Formula, 1300 Mathematics Formula PDF For Competitive Exam, All Basic Math Formula in Hindi भी यंहा से बड़ी आसानी से डाउनलोड कर पाएंगे, जो आपके आने वाले SARKARI EXAM जैसे,SSC, UPSC, Bank, Railway, State PCS, MPPSC, UPPSC, RPPSC, Defence and Army Exams एवं अन्य SARKARI EXAM के लिए बहुत ही ज्यादा महत्वपूर्ण है।

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Topic Related Posts

Math Topics

बीजगणित (Algebra )
अनुपात और समानुपात (Ratio and Proportion )
औसत (Average)
प्रतिशत (Percentage )
लाभ और हानि (Profit and Loss)
साधारण ब्याज (Simple Interest)
चक्रवृद्धि ब्याज (Compound Interest)
त्रिभुज (Triangle)
आयत (Rectangle)
वर्ग (Square)
घन (Cube)
बेलन (Cylinder)
शंकु (Cone)
चतुर्भुज (Quadrilateral)
बहुभुज (Polygon)
वृत और अर्द्धवृत (Circle and Semicircle)
त्रिज्याखंड एवं वृत्तखंड (Sector and Segment)
गोला (Sphere)

(All Mathematics Formulas In Hindi)

Mathamatics Formulas

a2 – b2 = (a – b)(a + b)
(a+b)2 = a2 + 2ab + b2
a2 + b2 = (a – b)2 + 2ab
(a – b)2 = a2 – 2ab + b2
(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
a3 – b3 = (a – b)(a2 + ab + b2)
a3 + b3 = (a + b)(a2 – ab + b2)
(a + b)3 = a3 + 3a2b + 3ab2 + b3
(a – b)3 = a3 – 3a2b + 3ab2 – b3
(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)
If n is a natural number :- an – bn = (a – b)(an-1 + an-2b+…+ bn-2a + bn-1)
If n is even :- (n = 2k), an + bn = (a + b)(an-1 – an-2b +…+ bn-2a – bn-1)
If n is odd :- (n = 2k + 1), an + bn = (a + b)(an-1 – an-2b +…- bn-2a + bn-1)
(a + b + c + …)2 = a2 + b2 + c2 + … + 2(ab + ac + bc + ….)
Laws of Exponents :- (am)(an) = am+n (ab)m = ambm (am)n = amn
Fractional Exponents :- a0 = 1 aman=am−n am = 1a−m a−m = 1am
Roots of Quadratic Equation :-
For a quadratic equation ax2 + bx + c where a ≠ 0, the roots will be given by the equation as −b±b2−4ac√2a Δ = b2 − 4ac is called the discrimination
For real and distinct roots, Δ > 0
For real and coincident roots, Δ = 0
For non-real roots, Δ < 0
If α and β are the two roots of the equation ax2 + bx + c then, α + β = (-b / a) and α × β = (c / a).
If the roots of a quadratic equation are α and β, the equation will be (x − α)(x − β) = 0
Factorials :- n! = (1).(2).(3)…..(n − 1).n n! = n(n − 1)! = n(n − 1)(n − 2)! = …. 0! = 1 (a+b)n=an+nan−1b+n(n−1)2!an−2b2+n(n−1)(n−2)3!an−3b3+….+bn,where,n>1

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Trigonometry Math Formulas

» ѕιη0° =0
» ѕιη30° = 1/2
» ѕιη45° = 1/√2
» ѕιη60° = √3/2
» ѕιη90° = 1
» ¢σѕ ιѕ σρρσѕιтє σƒ ѕιη
» тαη0° = 0
» тαη30° = 1/√3
» тαη45° = 1
» тαη60° = √3
» тαη90° = ∞
» ¢σт ιѕ σρρσѕιтє σƒ тαη
» ѕє¢0° = 1
» ѕє¢30° = 2/√3
» ѕє¢45° = √2
» ѕє¢60° = 2
» ѕє¢90° = ∞
» ¢σѕє¢ ιѕ σρρσѕιтє σƒ ѕє¢
» 2ѕιηα¢σѕв=ѕιη(α+в)+ѕιη(α-в)
» 2¢σѕαѕιηв=ѕιη(α+в)-ѕιη(α-в)
» 2¢σѕα¢σѕв=¢σѕ(α+в)+¢σѕ(α-в)
» 2ѕιηαѕιηв=¢σѕ(α-в)-¢σѕ(α+в)
» ѕιη(α+в)=ѕιηα ¢σѕв+ ¢σѕα ѕιηв.
» ¢σѕ(α+в)=¢σѕα ¢σѕв – ѕιηα ѕιηв.
» ѕιη(α-в)=ѕιηα¢σѕв-¢σѕαѕιηв.
» ¢σѕ(α-в)=¢σѕα¢σѕв+ѕιηαѕιηв.
» тαη(α+в)= (тαηα + тαηв)/ (1−тαηαтαηв)
» тαη(α−в)= (тαηα − тαηв) / (1+ тαηαтαηв)
» ¢σт(α+в)= (¢σтα¢σтв −1) / (¢σтα + ¢σтв)
» ¢σт(α−в)= (¢σтα¢σтв + 1) / (¢σтв− ¢σтα)

» ѕιη(α+в)=ѕιηα ¢σѕв+ ¢σѕα ѕιηв.
» ¢σѕ(α+в)=¢σѕα ¢σѕв +ѕιηα ѕιηв.
» ѕιη(α-в)=ѕιηα¢σѕв-¢σѕαѕιηв.
» ¢σѕ(α-в)=¢σѕα¢σѕв+ѕιηαѕιηв.
» тαη(α+в)= (тαηα + тαηв)/ (1−тαηαтαηв)
» тαη(α−в)= (тαηα − тαηв) / (1+ тαηαтαηв)
» ¢σт(α+в)= (¢σтα¢σтв −1) / (¢σтα + ¢σтв)
» ¢σт(α−в)= (¢σтα¢σтв + 1) / (¢σтв− ¢σтα)
α/ѕιηα = в/ѕιηв = ¢/ѕιη¢ = 2я
» α = в ¢σѕ¢ + ¢ ¢σѕв
» в = α ¢σѕ¢ + ¢ ¢σѕα
» ¢ = α ¢σѕв + в ¢σѕα
» ¢σѕα = (в² + ¢²− α²) / 2в¢
» ¢σѕв = (¢² + α²− в²) / 2¢α
» ¢σѕ¢ = (α² + в²− ¢²) / 2¢α
» Δ = αв¢/4я
» ѕιηΘ = 0 тнєη,Θ = ηΠ
» ѕιηΘ = 1 тнєη,Θ = (4η + 1)Π/2
» ѕιηΘ =−1 тнєη,Θ = (4η− 1)Π/2
» ѕιηΘ = ѕιηα тнєη,Θ = ηΠ (−1)^ηα

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