Formulas
Formula sheets by chapter
353 chapters across NDA, MHT-CET, JEE Mains, CDS, IMAT, AFCAT, SSC CGL and SPI, each with its formulas, reference tables and common traps on one page.
NDA
NDA Mathematics
- 3D Geometry20 formulas
- Applications of Integration11 formulas
- Binary Numbers8 formulas
- Binomial Distribution13 formulas
- Binomial Theorem16 formulas
- Circles20 formulas
- Complex Numbers8 formulas
- Conics12 formulas
- Definite Integration8 formulas
- Differential Equations5 formulas
- Differentiation14 formulas
- Functions7 formulas
- Height & Distance16 formulas
- Indefinite Integration23 formulas
- Inverse Trigonometry9 formulas
- Lines12 formulas
- Logarithms10 formulas
- Matrices & Determinants28 formulas
- Permutation & Combination5 formulas
- Probability22 formulas
- Properties of Triangle13 formulas
- Quadratic Equations21 formulas
- Sequence & Series23 formulas
- Sets & Relations7 formulas
- Statistics29 formulas
- Trigonometric Equations9 formulas
- Trigonometric Identities10 formulas
- Vectors27 formulas
NDA Physics
- Electricity and Magnetism22 formulas
- Fluid Mechanics and Properties of Matter10 formulas
- Gravitation13 formulas
- Heat and Thermodynamics12 formulas
- Kinematics and Motion12 formulas
- Laws of Motion and Forces13 formulas
- Light and Optics11 formulas
- Modern Physics5 formulas
- Oscillations and Waves5 formulas
- Sound4 formulas
- Units, Measurement and Dimensions6 formulas
- Work, Energy and Power11 formulas
NDA Biology
NDA Chemistry
MHT-CET
MHT-CET Maths
- Applications of Definite Integral13 formulas
- Applications of Derivative46 formulas
- Binomial Distribution19 formulas
- Circle15 formulas
- Complex Numbers15 formulas
- Definite Integration22 formulas
- Determinants and Matrices17 formulas
- Differential Equations41 formulas
- Differentiation33 formulas
- Indefinite Integration32 formulas
- Limits39 formulas
- Line and Plane55 formulas
- Linear Programming12 formulas
- Mathematical Logic17 formulas
- Measures of Dispersion11 formulas
- Pair of Straight Lines12 formulas
- Permutations and Combinations17 formulas
- Probability Distribution28 formulas
- Sets, Relations and Functions15 formulas
- Straight Line16 formulas
- Trigonometric Functions21 formulas
- Trigonometry - II6 formulas
- Vectors59 formulas
MHT-CET Chemistry
- Alcohols, Phenols and Ethers16 formulas
- Aldehydes, Ketones and Carboxylic Acids11 formulas
- Alkanes3 formulas
- Alkenes6 formulas
- Amines10 formulas
- Basic Principles of Organic Chemistry8 formulas
- Biomolecules7 formulas
- Chemical Bonding and Molecular Structure6 formulas
- Chemical Kinetics16 formulas
- Chemical Thermodynamics and Energetics15 formulas
- Coordination Compounds11 formulas
- Electrochemistry16 formulas
- Elements of Group 16, 17 and 186 formulas
- Green Chemistry and Nanochemistry1 formulas
- Halogen Derivatives of Alkanes11 formulas
- Introduction to Polymer Chemistry4 formulas
- Ionic Equilibria18 formulas
- Redox Reactions5 formulas
- Solid State14 formulas
- Solutions and Colligative Properties16 formulas
- Some Basic Concepts of Chemistry13 formulas
- States of Matter9 formulas
- Structure of Atom19 formulas
- Surface Chemistry3 formulas
- Transition and Inner Transition Elements8 formulas
MHT-CET Physics
- AC Circuits17 formulas
- Current Electricity9 formulas
- Dual Nature of Radiation and Matter7 formulas
- Electromagnetic Induction10 formulas
- Electrostatics23 formulas
- Gravitation8 formulas
- Kinetic Theory of Gases7 formulas
- Laws of Motion6 formulas
- Magnetic Fields Due to Electric Current10 formulas
- Magnetic Materials4 formulas
- Mechanical Properties of Fluids12 formulas
- Motion in a Plane7 formulas
- Optics (Ray)9 formulas
- Oscillations11 formulas
- Rotational Dynamics19 formulas
- Semiconductor Devices14 formulas
- Sound5 formulas
- Structure of Atoms and Nuclei8 formulas
- Superposition of Waves11 formulas
- Thermal Properties of Matter8 formulas
- Thermodynamics7 formulas
- Wave Optics12 formulas
JEE Mains
JEE Mains Maths
- Application of Derivatives17 formulas
- Application of Integrals18 formulas
- Binomial Theorem17 formulas
- Complex Numbers16 formulas
- Conic Sections42 formulas
- Definite Integration18 formulas
- Determinants16 formulas
- Differential Equations21 formulas
- Differentiation11 formulas
- Indefinite Integration11 formulas
- Inverse Trigonometric Functions13 formulas
- Limits and Continuity18 formulas
- Mathematical Reasoning10 formulas
- Matrices27 formulas
- Permutations and Combinations20 formulas
- Probability16 formulas
- Quadratic Equations15 formulas
- Relations and Functions21 formulas
- Sequences and Series22 formulas
- Statistics10 formulas
- Straight Lines17 formulas
- Three Dimensional Geometry24 formulas
- Trigonometric Equations8 formulas
- Trigonometric Identities12 formulas
- Vector Algebra15 formulas
JEE Mains Chemistry
- Alcohols, Phenols and Ethers10 formulas
- Aldehydes, Ketones and Carboxylic Acids11 formulas
- Amines15 formulas
- Biomolecules6 formulas
- Chemical Bonding and Molecular Structure8 formulas
- Chemical Kinetics16 formulas
- Chemical Thermodynamics18 formulas
- Classification of Elements and Periodicity4 formulas
- Coordination Compounds12 formulas
- Electrochemistry11 formulas
- Equilibrium16 formulas
- Haloalkanes and Haloarenes7 formulas
- Hydrocarbons9 formulas
- Organic Chemistry - Some Basic Principles and Techniques14 formulas
- Organic Reaction Mechanisms4 formulas
- Solutions12 formulas
- Some Basic Concepts of Chemistry19 formulas
- Structure of Atom13 formulas
- The d- and f-Block Elements8 formulas
- The p-Block Elements7 formulas
JEE Mains Physics
- Alternating Current12 formulas
- Atoms8 formulas
- Communication Systems7 formulas
- Current Electricity20 formulas
- Dual Nature of Radiation and Matter11 formulas
- Electromagnetic Induction10 formulas
- Electromagnetic Waves8 formulas
- Electrostatics22 formulas
- Gravitation15 formulas
- Kinetic Theory12 formulas
- Laws of Motion13 formulas
- Magnetism and Matter5 formulas
- Mechanical Properties of Fluids14 formulas
- Mechanical Properties of Solids10 formulas
- Motion in a Plane17 formulas
- Motion in a Straight Line13 formulas
- Moving Charges and Magnetism16 formulas
- Nuclei8 formulas
- Oscillations11 formulas
- Ray Optics16 formulas
- Semiconductor Electronics10 formulas
- System of Particles and Rotational Motion15 formulas
- Thermal Properties of Matter9 formulas
- Thermodynamics14 formulas
- Units and Measurements15 formulas
- Wave Optics16 formulas
- Waves11 formulas
- Work, Energy and Power16 formulas
CDS
CDS Mathematics
- Algebraic Identities and Simplification21 formulas
- Averages5 formulas
- Circles14 formulas
- Data Interpretation6 formulas
- Heights and Distances5 formulas
- Linear Equations5 formulas
- Mensuration 2D31 formulas
- Mensuration 3D30 formulas
- Number System63 formulas
- Percentage, Profit and Loss7 formulas
- Polynomials13 formulas
- Quadratic Equations19 formulas
- Quadrilaterals9 formulas
- Ratio, Proportion and Variation11 formulas
- Simple and Compound Interest5 formulas
- Statistics12 formulas
- Surds, Indices and Simplification18 formulas
- Time and Work5 formulas
- Time, Speed and Distance11 formulas
- Triangles28 formulas
- Trigonometric Ratios and Identities32 formulas
CDS Chemistry
CDS Geography
CDS Physics
CDS Economics
CDS Biology
IMAT
IMAT Biology
- Bioenergetics and Metabolism3 formulas
- Biomolecules and Enzymes4 formulas
- Cell Division and Reproduction3 formulas
- Cell Structure and Membranes4 formulas
- Evolution and Ecology2 formulas
- Genetics and Inheritance13 formulas
- Human Anatomy and Physiology3 formulas
- Microorganisms and Biotechnology4 formulas
- Molecular Biology and Gene Expression6 formulas
IMAT Chemistry
- Acids, Bases and pH11 formulas
- Atomic Structure5 formulas
- Chemical Bonding4 formulas
- Equilibrium, Kinetics and Energetics8 formulas
- Inorganic Compounds and Nomenclature4 formulas
- Organic Chemistry7 formulas
- Periodic Table4 formulas
- Redox Reactions8 formulas
- Solutions and Concentration12 formulas
- States of Matter and Gas Laws8 formulas
- Stoichiometry and Reactions11 formulas
IMAT Physics
IMAT Mathematics
IMAT Logical Reasoning and Problem Solving
IMAT Reading Skills and General Knowledge
AFCAT
AFCAT Numerical Ability
- Area and Perimeter19 formulas
- Average35 formulas
- Clock15 formulas
- Decimal and Fractions26 formulas
- Heights and Distances14 formulas
- Indices and Surds13 formulas
- LCM and HCF9 formulas
- Mixture and Alligation16 formulas
- Number System19 formulas
- Percentage44 formulas
- Probability24 formulas
- Profit and Loss28 formulas
- Ratio and Proportion34 formulas
- Sequence and Series15 formulas
- Simple and Compound Interest32 formulas
- Speed, Time and Distance37 formulas
- Squares, Cubes and Roots20 formulas
- Statistics12 formulas
- Surface Area and Volume21 formulas
- Time and Work26 formulas
SSC CGL
SSC CGL Quantitative Aptitude
- Algebraic Identities and Simplification18 formulas
- Averages17 formulas
- Circles20 formulas
- Coordinate Geometry8 formulas
- Data Interpretation21 formulas
- Heights and Distances5 formulas
- Linear Equations8 formulas
- Lines, Angles and Polygons6 formulas
- Mensuration 2D21 formulas
- Mensuration 3D25 formulas
- Number System14 formulas
- Percentage, Profit and Loss25 formulas
- Ratio, Proportion and Variation24 formulas
- Simple and Compound Interest23 formulas
- Surds, Indices and Simplification20 formulas
- Time and Work17 formulas
- Time, Speed and Distance21 formulas
- Triangles19 formulas
- Trigonometric Ratios and Identities20 formulas
SSC CGL Reasoning
SPI
SPI Mathematics
- Algebraic Identities and Simplification7 formulas
- Circles8 formulas
- Coordinate Geometry9 formulas
- Heights and Distances7 formulas
- Linear Equations6 formulas
- Lines, Angles and Polygons5 formulas
- Mensuration 2D9 formulas
- Mensuration 3D14 formulas
- Number System10 formulas
- Polynomials9 formulas
- Probability13 formulas
- Quadratic Equations11 formulas
- Sequence and Series12 formulas
- Statistics11 formulas
- Surds, Indices and Simplification7 formulas
- Triangles10 formulas
- Trigonometric Ratios and Identities11 formulas
SPI Physics
SPI Chemistry
SPI Biology
Questions by the identity their solution uses
A different way into the same bank. Instead of filtering by chapter, pick the formula you want to drill and get every question whose solution actually invokes it — including the ones whose stem never mentions it.
Matrices & Determinants
40 identities across 705 questions, read and tagged one by one. Chapter notes.
- Cofactor expansionTechnique99questions
- Row and column operationsTechnique71questions
- Determinant of a 2×2 matrixFormula64questions
- Powers of a matrixTechnique54questions
- Matrix polynomial equationsTechnique47questions
- Determinants with trigonometric entriesTechnique47questions
- Proportional rows make a determinant vanishProperty45questions
- Determinant of the adjointFormula43questions
- Inverse via the adjointFormula42questions
- Skew-symmetric matricesProperty37questions
- Symmetric matricesProperty36questions
- Determinant of a scalar multipleFormula35questions
- Order of a matrix productFormula34questions
- The adjoint identityFormula34questions
- Reversal law for transposesFormula33questions
- Definition of the inverseProperty33questions
- Consistency of a linear systemProperty28questions
- Singular matricesProperty28questions
- Definition of the adjointProperty28questions
- Non-trivial solutions of a homogeneous systemProperty24questions
- Rules of transpositionFormula23questions
- Determinant of the inverseFormula21questions
- Cube roots of unity in determinantsFormula20questions
- Determinant of a productFormula18questions
- Determinant of a powerFormula18questions
- Determinant equations and their rootsTechnique17questions
- Orthogonal matricesProperty17questions
- Idempotent matricesProperty17questions
- Involutory matricesProperty16questions
- Equality of matricesProperty16questions
- Determinant of the transposeFormula15questions
- Solving AX = BTechnique15questions
- Matrix multiplication is not commutativeProperty15questions
- Diagonal matricesProperty14questions
- Adjoint of an adjointFormula14questions
- Determinant of a triangular matrixFormula14questions
- Scalar matricesProperty13questions
- Addition and scalar multiplicationProperty13questions
- Counting matricesTechnique12questions
- Taking a common factor out of a rowProperty12questions
Identities used by fewer than 12 questions in a chapter are not listed: a page with four questions on it is not a drill. This chapter yielded 79 distinct identities in all, of which 40 clear that bar.