गणित के सभी सूत्र (All Mathematics Formulas In Hindi)
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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गणित के सभी सूत्र (All Mathematics Formulas In Hindi) SSC, UPSC, Bank, Railway, State PCS, MPPSC, UPPSC, RPPSC, Defence and Army Exams और भी ऐसे एग्जाम है जिसमे Maths Formulas बहुत महवत्पूर्ण साबित हो सकती है, हमारी वेबसाइट पर आपको हर तरह की सब्जेक्ट वाइज PDF जैसे Maths, Reasoning, General Knowledge, General Science, Environment, Indian History, Indian Polity, Indian Geography, World History, GK & Current Affairs, English Grammar, Hindi Grammar, State Wise GK Notes, Handwritten Notes, Class Notes, Physics, Chemistry, Biology, Static GK, One Liner Questions के साथ-साथ Online Quiz, Test Series, Previous Year Exam Questions, Practice Book, Most Important Question Answers, Practice Set की सभी प्रकार की पीडीऍफ़ उपलब्ध कराती है।
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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)
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- (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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