3×3 Matrix Inverse Formula 1. What is Matrix Inverse? The inverse of a matrix A, denoted as (A^{-1}), is a matrix that when multiplied by the original matrix gives the
3D Shapes Formulas Key Terminology: Volume: Space occupied by a 3D shape (measured in cubic units) Total Surface Area (TSA): Total area of all faces including top and bottom Curved/Lateral
2D Shapes Formulas 1. Circle Basic Definitions Circle: A set of all points equidistant from a fixed center point. Radius (r): Distance from center to any point on circle Diameter
10th Class Trigonometry Formulas 1. Basic Trigonometric Ratios In a Right-Angled Triangle: P = Perpendicular (Opposite Side) B = Base (Adjacent Side) H = Hypotenuse Pythagoras Theorem: [P^2 + B^2
Class 10 Mathematics Formulas Chapter 1: Real Numbers Euclid's Division Lemma: (a = bq + r), where (0 leq r < b) HCF × LCM: (text{HCF}(a, b) times text{LCM}(a, b)
Gravitation Class 9 Formulas 1. Newton's Universal Law of Gravitation Statement Every particle in the universe attracts every other particle with a force that is directly proportional to the product
Golden Ratio Formula & Fibonacci Sequence 1. The Golden Ratio (φ - Phi) Definition Two quantities are in the golden ratio if their ratio is the same as the ratio
Exponential Function Formula & Examples 1. Definition and Basic Formula What is an Exponential Function? An exponential function is a function in which the variable appears in the exponent. The
Derivatives and Integration Formulas 1. Basic Derivative Formulas Constant and Power Functions (frac{d}{dx}(c) = 0) where (c) is constant (frac{d}{dx}(x) = 1) (frac{d}{dx}(x^n) = nx^{n-1}) (frac{d}{dx}(sqrt{x}) = frac{1}{2sqrt{x}}) (frac{d}{dx}left(frac{1}{x}right) =
Continuity and Differentiability Class 12 Formulas 1. Continuity Definition of Continuity A function (f(x)) is continuous at (x = a) if: [lim_{x to a} f(x) = f(a)] Conditions for Continuity