Maths formulas list pdf download

Maths formulas list pdf download

Maths formulas help the students to solve a complex problem in a jiffy. Memorising Maths formulas are a challenge to the kids of different classes (6, 7, 8, 9, 10, 11, and 12). These students are just in need of some tips and tricks to memorise these formulas easily. At this point, Vedantu comes up with a Mathematical Formulas PDF for the CBSE students for the standard 6 to 12 so that every student will be able to download the Basic Maths Formulas PDF from the website and app without any hassle.Learning Mathematics formulas help students to improve scores in the final exams, board exams, and various entrance exams. These Maths formulas PDF also help in quick revision and improve memorization power of the students. If we look at the chapters like fractions and percentages, they both are interrelated to each other. Similarly, the chapters like percentages and profit and loss, then complex numbers and the concepts of real numbers and exponents, also have connections. It implies that if we know the formulas of one chapter, we can easily understand the further chapter easily; this is how Maths formulas become significant to learn.Maths is a conceptual subject, which demands a great hold on all formulas. Learning maths formulas help students apply various tricks and tricks to complex problems. If we look at the chapters like fractions and percentages, they both are interrelated to each other. Similarly, the chapters like percentages and profit and loss, then complex numbers and the concepts of real numbers and exponents, also have connections. It implies that if we know the formulas of one chapter, we can understand the further chapter easily; this is how Maths formulas become significant to learn.Learning maths formulas is a lengthy task for students from school level to the university; however, if we have some tips and tricks on maths formulas, these formulas for a lifetime; at this juncture, Vedantu plays an important role. At Vedantu, you will get all the Mathematical Formulas PDF for the CBSE students for the standard 6 to 12. You will also get the Basic Maths Formulas PDF. For your hassle-free search, all maths formulas PDF is available at a single-desk. is a leader in Online Tutoring in India. We offer basic Mathematical formulas PDF free download for Class 6 to 12 CBSE Board, prepared by proficient teachers. The Mathematics formula PDF is available for all chapters in the latest CBSE syllabus. Maths formulas PDF enables students to complete the syllabus in a unique do-learn-do pattern of study. These Maths formulas helps students:Score better both in class and boards examinationsComplete the syllabus on timeRevise thoroughlyMemorise formulae easilyTime themselves for the board examsKnow their strengths and weaknesses in Mathematics formulaPrepare for all entrance exams like JEEResolve their doubts while solving any problem by taking Vedantu online tuitions Moreover, Math formulas are also important to excel in other subjects like Economics, Physics and Chemistry. With Vedantu's all basic Math formulas, students have the resources to apply to all subjects. Maths formulas download free also helps teachers as teaching aids. Maths Formulas ? Most of you might feel Maths as your biggest nightmare. But, it's not and it can be quite interesting once you get to know the applications of it in real life. It's all about connecting the dots and knowing which calculation to use. Maths Formulas are difficult to memorize and Learn Cram Experts have curated some of the List of Basic Mathematical Formulas that you may find useful in your way of preparation. Students of Class 6 to 12 can utilise the Maths Formulas PDF and cover the entire syllabus. Revise these formulae thoroughly and identify your strengths and weaknesses in the subject and its formulae. Resolve your doubts while solving the problems by making use of these General Maths Formulas for Classes 6, 7, 8, 9, 10, 11, 12. Maths Formulas for Class 6 to 12 PDF Free Download Looking for some smart ways to remember the Mathematical Formulas? You can make use of the handy learning aids and develop an in-depth knowledge on the subject. Check out the Class 6 to 12 Maths Formulas available Chapter Wise as per the Latest CBSE Syllabus and score more marks in the exam. These Maths Formulas act as a quick reference for Class 6 to Class 12 Students to solve problems easily. Students can get all basic mathematics formulas absolutely free from this page and can methodically revise and memorize them. Comprehensive list of Maths Formulas for Classes 12, 11, 10, 9 8, 7, 6 to solve problems efficiently. Download Mathematics Formula PDF to complete the syllabus and excel in your exams. Maths Formulas for Class 6 Maths Formulas for Class 7 Maths Formulas for Class 8 Maths Formulas for Class 9 Maths Formulas for Class 10 Maths Formulas for Class 12 List of Basic Maths Concepts Sets and Relations Set Subset and Superset Venn Diagram Operations on Sets Ordered Pair Relation Composition of Relation Functions and Binary Operations Functions Equal Functions Real-Valued and Real Functions Standard Real Functions and their Graphs Operations on Real Functions Compositions of Two Functions Even and Odd Functions Binary Operations Complex Numbers Equality of Complex Numbers Algebra of Complex Numbers Argand Plane and Argument of a Complex Number Cube Roots of Unity nth Roots of Unity Geometry of Complex Numbers Theory of Equations aad Inequations Polynomial Quadratic Equation Quadratic Expression Inequality Linear Inequality Solution Set Sequences and Series Sequence Series Arithmetic Progression (AP) Geometric Progression (GP) Harmonic Progression (HP) Arithmetic-Geometric Progression Permutations and Combinations Fundamental Principles of Counting Factorial Permutation Circular Permutation Combination Binomial Theorem and Principle of Mathematical Induction Binomial Theorem for Positive Integer General Term in a Binomial Expansion Middle Term in a Binomial Expansion Greatest Term Multinomial Theorem R-f Factor Relations Binomial Theorem for Any Index Principle df Mathematical Induction Matrices Matrix Algebra of Matrices Transpose of Matrix Symmetric and Skew- Symmetric Matrices Elementary Operations (Transfo r matio ns of a Matrix) Coniugate of a Matrix Rank of a Matrix Determinants Determinant Minor and Cofactors Adjoint of a Matrix Inve rse of a Matrix Homogeneous and Non- homogeneous System of Linear Equations Probability Experiment Algebra of Events Bayes Theorem Random Variable Bernoulli Trials and Binomial Distribution Trigonometric Functions, Identities and Equations Measurement of Angles Relation Between Degree and Radian Trigonometric Ratios For Acute Angle Trigonometric (or Circular) Functions Graph of Trigonometric Functions Fundamental Trigonometric Identities Trigonometric Functions of Compound Angles Transformation Formulae Trigonometric Functions of Multiple Angles Trigonometric Periodic Functions Trigonometric Equations Solution of Triangles Basic Rules of Triangle Trigonometrical Ratios of Half of the Angles of Triangle Area of a Triangle Heights and Distances Angie of Elevation Angle of Depression Inverse Trigonometric Functions Domain and Range of Inverse Trigonometric Functions Graphs oflnverse Triginometric Functions Elementary Properties of Inverse Trigonometric Functions Inverse Hyperbolic Functions Rectangular Axis Rectangular Axis Quadrants Distance Formulae Section Formulae Area of Triangle/ Quadrilateral Shifting of Origin/Rot at ion of Axes Equation of Locus Straight Line Slope (Gradient) of a Line Angle between Two Lines Equation of a Straight Line Distance of a Point from a Line Equation of the Bisectors Pair of Lines Circles Standard Equation of a Circle Equation of Circle Passing Through Three Points ? Parametric Equation of Circle Equation of Tangent Equation of Normal Pair of Tangents Common Tangents of Two Circles Family of Circles Limiting Points Diameter of Circle Parabola Conicsection general Equation of Conic Standard Forms of a Parabola and Related Terms Equation of Tangent Point of I ntersection of Two Tangents Equation of Normal Length of Tangent and Normal Equation of Diameter Pair of Tangents Chor of Contact Ellipse Parametric Equation Equation of Tangent Equation of Normal Hyperbola Hyperbola of the Form Conjugate Hyperbola Equation of Hyperbola in Different Forms Tangent Equation of Hyperbola Normal Equation of Hyperbola Asymptote Rectangular Hyperbola limits, Continuity & Differentiability Limit Methods of Evaluating Limits Sandwich Theorem Continuity Differentiability Fundamental Theorems of Differentiability Derivatives Derivatives of Standard Functions Fundamental Rules for Derivatives Derivatives of Different Types of Function Differentiation of a Determinant Successive Differentiations Partial Differentiations Application of Derivatives Derivatives as the Rate of Change Tangents and Normals Rolle's Theorem Lagrange's Mean Value Theorem Approximations and Errors Increasing Function Maxima and Minima of Functions Indefinite Integrals Some Standard Integral Formulae Properties of Integration Intergation by Substitution Integration by Parts Integration by Partial Fractions Integration of Irrational Algebraic Function Definite Integrals Fundamental Theorem of Calculus Properties of Definite Integral Integral Function Applications of Integrals Area of Curves Given by Polar Equations Area of Curves Given by Parametric Curves Curve Sketching Volume and Surface Area Differential Equations Order and Degree of a Differential Equation Linear and Non-Linear Differential Equations Solution of Differential Equations Formation of Differential Equations Vectors Types of Vectors Addition of Vectors Differences (Subtraction) of Vectors Multiplication of a Vector by a Scalar Components of a Vector Vector joining Two Points Section Formulae Scalar or Dot Product of Two Vectors Vector or Cross Product of Two Vectors Scalar Triple Product Vector Triple Product Three Dimensional Geometry Coordinate System Direction Cosines Line in Space Plane Angle Between Two Planes Parallelism and Perpendicularity of Two Planes Statistics Graphical Representation of Frequency Distributions Measures of Central Tendency Arithmetic Mean Geometric Mean Harmonic Mean Median Mode Covariance Rank Correlation (Spearman's) Regression Mathematical Reasoning Statement (Proposition) Elementary Logical Connectives or Logical Operators Truth Value and Truth Table Quantifiers Validity of Statements Linear Programming Problem (LPP) Objective Function Constraints Non-negative Restrictions Optimal Value Solution of Simultaneous Linear Inequations Graphical Method of Solving a Linear Programming Problem Different Types of Linear Programming Problems Elementary Arithmetic-I Types of Number System ClassificationofNumbcrsin Decimal Number System Test of Divisibility of a Natural Number Rule of Determine the Digit at Unit Place Rational Numbers Irrational Number Real Number Complex Numbers Fraction Ascending/Descending Orders in Fraction Power of Index Surds HCF and LCM Simplification Average Ratio and Proportion Proportion Elementary Arithmetic-II Fundamental Formula Speed, Time and Distance Problem Based on Trains Boats and Streams Pipes and Cisterns Clock Calendar Elementary Arithmetic- lll Percentage Profit, Loss and Discount Simple Interest Compound Interest Growth and Depriciation Partnership Share and Debenture Alligation or Mixture Elementary Algebra Polynomial Synthetic Division Method (Horners Method) Remainder Theorem Linear Equations Rational Expression logarithms Types of Logarithms Anti Logarithm Geometry Triangles Congruency of Triangles Quadrilaterals Polygon Mensuration Perimeter and Area of Plane Figure Surface Area and Volume of Solid Figure Quadratic Equation Formulas 1. Quadratic Expression A polynomial of degree two of the form ax2 + bx + c (a 0) is called a quadratic expression in x. 2. The Quadratic Equation ax2 + bx + c = 0 (a 0) has two roots, given by = \(\frac{-b+\sqrt{b^{2}-4 a c}}{2 a}\) and = \(\frac{-b-\sqrt{b^{2}-4 a c}}{2 a}\) 3. Nature of roots The term b2 ? 4ac is called discriminant of the equation. It is denoted by or D. (A) Suppose a, b, c R and a 0 then If D > 0 roots are real and unequal If D = 0 roots are real and equal and each equal to -b/2a If D < 0 roots are imaginary and unequal or complex conjugate. (B) Suppose a, b, c Q, a 0 then If D > 0 & D is perfect square roots are unequal & rational If D > 0 & D is not perfect square roots are irrational & unequal 4. Conjugate roots 1. If D < 0 One root: + i Other root: ? i then 2. D > 0 One root: + \(\sqrt{\beta}\) Other root: ? \(\sqrt{\beta}\) 5. Sum of roots S = + = \(\frac{-b}{a}=-\frac{\text { Coefficient of } x}{\text { cofficient of } x^{2}}\) 6. Product of roots P = = \ (\frac{c}{a}=\frac{\text { Constant term }}{\text { coefficient of } x^{2}}\) 7. Formation of an equation with given roots x2 ? Sx + P = 0 8. Relation between roots-and coefficients If roots of quadratic equation ax2 + bx + c = 0 (a 0) are and then ( ? ) = \(\sqrt{(\alpha+\beta)^{2}-4 \alpha \beta}\) = ? \(\frac{\sqrt{b^{2}-4 a c}} {a}=\frac{\pm \sqrt{D}}{a}\) 2 + 2 = ( + )2 ? 2 = \(\frac{b^{2}-2 a c}{a^{2}}\) 2 ? 2 = ( + )\(\sqrt{(\alpha+\beta)^{2}-4 \alpha \beta}\) = ? \(\frac{b \sqrt{b^{2}-4 a c}}{a^{2}}=\frac{\pm \sqrt{D}}{a}\) 3 + 3 = ( + )3 ? 3( + ) = ? \(\frac{b\left(b^{2}-3 a c\right)}{a^{3}}\) 3 ? 3 = ( ? )3 ? 3( ? )\ (\sqrt{(\alpha+\beta)^{2}-4 \alpha \beta}\) {( + )2 ? } = \(\frac{\left(b^{2}-a c\right) \sqrt{b^{2}-4 a c}}{a^{3}}\) 4 + 4 = {( + )2 ? 2}2 ? 222 = \(\left(\frac{b^{2}-2 a c}{a^{2}}\right)^{2}-2 \frac{c^{2}}{a^{2}}\) 4 ? 4 = (2 ? 2)(2 + 2) \(=\frac{\pm b\left(b^{2}-2 a c\right) \sqrt{b^{2}-4 a c}}{a^{4}}\) 2 + + 2 = ( + )2 ? \(\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{\alpha^{2}+\beta^{2}}{\alpha \beta}=\frac{(\alpha+\beta)^{2}-2 \alpha \beta}{\alpha \beta}\) 2 + 2 = ( + ) \(\left(\frac{\alpha}{\beta}\right)^{2}+\left(\frac{\beta}{\alpha}\right)^{2}=\frac{\alpha^{4}+\beta^{4}}{\alpha^{2} \beta^{2}}=\frac{\left(\alpha^{2}+\beta^{2}\right)^{2}-2 \alpha^{2} \beta^{2}}{\alpha^{2} \beta^{2}}\) (xii) nb2 = ac(1 + n)2 when one root is n times of another 9. Roots under particular cases For the quadratic equation ax2 + bx + c = 0 If b = 0 roots are of equal magnitude but of opposite sign If c = 0 one root is zero other is ? b/a If b = c = 0 both roots are zero If a = c roots are reciprocal to each other If \(\left.\begin{array}{ll} a>0 & c0, \mathrm{b}>0, \mathrm{c}>0 \\ \mathrm{a} ?\(\frac{b}{2 a}\) (iii) af(k) > 0 (C) Condition for k lie between the roots (i) D > 0 (ii) af(k) < 0 (D) Condition for exactly one root lie in the interval (k1, k2) where k1 < k2 (i) f(k1) f(k2) < 0 (ii) D > 0 (E) When both roots lie in the interval (k1, k2) where k1 < k2 (i) D > 0 (ii) f(k1) . f(k2) > 0 (F) Any algebraic expression f(x) = 0 in interval [a, b] if (i) sign of f(a) and f(b) are of same then either no roots or even no. of roots exist. (ii) sing of f(a) and f(b) are opposite then f(x) = 0 has at least one real root or odd no. of roots. 13. Maximum & Minimum value of Quadratic Expression In a quadratic expression ax2 + bx + c If a > 0, quadratic expression has least value at x = ?\(\frac{b}{2 a}\). This least value is given by \(\frac{4 a c-b^{2}}{4 a}=-\frac{D}{4 a}\) If a < 0, quadratic expression has greatest value at x = ?\(\frac{b}{2 a}\). This greatest value is given by \(\frac{4 a c-b^{2}}{4 a}=\frac{D}{4 a}\) 14. Quadratic expression in two variables The general form of a quadratic expression in two variables x & y is ax2 + 2hxy + by2 + 2gx + 2fy + c. The condition that this expression may be resolved into two linear rational factors is = \(\left|\begin{array}{lll} a & h & g \\ h & b & f \\ g & f & c \end{array}\right|\) = 0 abc + 2 fgh ? af2 ? bg2 ? ch2 = 0 and h2 ? ab > 0 This expression is called discriminant of the above quadratic expression. FAQs on Maths Formulas 1. Where can I get all Mathematical Formulas? You can get all Mathematical Formulas arranged in an organized manner as per the Chapters for various classes from here. 2. What are the types of mathematical formulas? There are many types in maths as far as formulas are concerned. Have a glance at some of the types of Mathematical Formulas. Linear equation Quadratic equation Cubic equation First-order Differential equations Integral equations Trigonometric equations, Matrix equations, 2nd order differentials, Fourier transforms, Laplace transforms, Hamiltonians and much more. 3. Where can I find Maths Formulas for Class 6 to Class 12 in PDF Format? You can find Maths Formulas for Classes 12, 11, 10, 9, 8, 7, 6 in PDF Format for various concepts in a structured way by referring to our page. Make the most out of these and score better grades in the exam. 4. How to download Class 6 to 12 Mathematics Formulas PDF? All you have to do is just click on the direct links available for Mathematics Formulas and you will be directed to a new page. You can see a download button there and click on that and save the handy Maths Formulae PDF for future reference. Summary We hope the details prevailing above regarding the Maths Formulas for Class 12, 11, 10, 9, 8, 7, 6 will make it easy for you in your preparation. Solve the maths problems like never before with the curated list of simple Maths Formulas here. Bookmark our site for the latest information on Mathematical Formulas.

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