A formula sheet is an essential tool for JEE aspirants. It provides a quick reference to all the important formulas needed in topics like Algebra, Calculus, Trigonometry, Coordinate Geometry, Probability, Statistics, and Mechanics. A well-organized formula PDF saves time during revision and helps students recall critical equations efficiently while solving JEE Main and Advanced problems.
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♦ Set Theory and Relations ⇒ Download Here
♦ Function ⇒ Download Here
♦ Differentiation ⇒ Download Here
♦ Application of Derivatives ⇒ Download Here
♦ Indefinite Integral ⇒ Download Here
♦ Definite Integral ⇒ Download Here
♦ Area Under Curve ⇒ Download Here
♦ Differential Equations ⇒ Download Here
♦ Vector Algebra ⇒ Download Here
♦ 3D Dimensional ⇒ Download Here
♦ Determinants ⇒ Download Here
♦ Binary ⇒ Download Here
♦ Logarithm ⇒ Download Here
♦ Complex Number ⇒ Download Here
♦ Progression ⇒ Download Here
♦ Quadratic Equation ⇒ Download Here
♦ Permutations and Combinations ⇒ Download Here
♦ Binomial Theorem ⇒ Download Here
♦ Exponential ⇒ Download Here
♦ Rectangular Cartesian Co-ordinates ⇒ Download Here
♦ Straight Lines ⇒ Download Here
♦ Pair Of Straight Line ⇒ Download Here
♦ Circle System ⇒ Download Here
♦ Conic Sections ⇒ Download Here
♦ Trigonomerical Ratio ⇒ Download Here
♦ Trigonomerical Equation ⇒ Download Here
♦ Trigonomerical Properties ⇒ Download Here
♦ Height & Distances ⇒ Download Here
♦ Trigonomerical Inverse of Triangle ⇒ Download Here
♦ Hyperbolic Functions ⇒ Download Here
♦ Probability ⇒ Download Here
♦ Statistics ⇒ Download Here
♦ Statics ⇒ Download Here
♦ Dynamics ⇒ Download Here
♦ Numerical Method ⇒ Download Here
♦ Linear Programming ⇒ Download Here
♦ Maths Formula PDF for Entrance Exam ⇒ Download Here
Quadratic Equations: x = [-b ± √(b² - 4ac)] / 2a
Sum and Product of Roots: α + β = –b/a, αβ = c/a
Binomial Theorem: (a + b)ⁿ = Σ (nCk aⁿ⁻ᵏ bᵏ), k = 0 to n
Progressions:
Arithmetic Progression: a_n = a + (n–1)d, S_n = n/2 [2a + (n–1)d]
Geometric Progression: a_n = a rⁿ⁻¹, S_n = a(1–rⁿ)/(1–r)
Differentiation:
(d/dx)(xⁿ) = n xⁿ⁻¹
Product Rule: (uv)' = u'v + uv'
Quotient Rule: (u/v)' = (u'v – uv')/v²
Chain Rule: dy/dx = dy/du × du/dx
Integration:
∫ xⁿ dx = xⁿ⁺¹ / (n+1), n ≠ –1
∫ e^x dx = e^x
∫ 1/x dx = ln|x|
Definite Integrals: ∫_a^b f(x) dx = F(b) – F(a)
Basic Identities: sin²x + cos²x = 1, 1 + tan²x = sec²x, 1 + cot²x = csc²x
Sum and Difference: sin(A ± B) = sinA cosB ± cosA sinB, cos(A ± B) = cosA cosB ∓ sinA sinB
Multiple Angles: sin2A = 2 sinA cosA, cos2A = cos²A – sin²A
Inverse Trigonometry: sin⁻¹x + cos⁻¹x = π/2, tan⁻¹x + cot⁻¹x = π/2
Distance Between Points: d = √[(x₂–x₁)² + (y₂–y₁)²]
Midpoint: M = ((x₁+x₂)/2, (y₁+y₂)/2)
Slope: m = (y₂–y₁)/(x₂–x₁)
Equation of Line: y – y₁ = m(x – x₁)
Circle Equation: (x – a)² + (y – b)² = r²
Parabola: y² = 4ax, x² = 4ay
Ellipse: x²/a² + y²/b² = 1
Hyperbola: x²/a² – y²/b² = 1
Probability: P(E) = Number of favorable outcomes / Total outcomes
Conditional Probability: P(A|B) = P(A ∩ B) / P(B)
Mean, Median, Mode:
Mean = Σx / n
Median = Middle value of ordered data
Mode = Value occurring most frequently
Variance & Standard Deviation:
Variance = Σ(x – mean)² / n
Standard Deviation = √Variance
Force: F = ma
Equilibrium: ΣF = 0, ΣM = 0
Projectile Motion:
Horizontal: x = u cosθ · t
Vertical: y = u sinθ · t – ½ g t²
Maximum height: H = u² sin²θ / (2g)
Range: R = u² sin2θ / g
Centripetal Force: F = mv²/r
Work & Energy: W = F·s·cosθ, KE = ½ mv², PE = mgh
Organize formulas by topic for quick access
Use the PDF for daily revision before exams
Memorize essential formulas and understand derivations
Solve previous years’ questions using formulas from PDF
Mark frequently used formulas for faster recall during exams
Saves time during revision
Helps in last-minute preparation
Provides a single reference for all important formulas
Improves problem-solving speed in exams
Reduces errors in calculations during JEE Main & Advanced
A comprehensive JEE Maths Formula PDF is a must-have for every aspirant. Covering topics from Algebra, Calculus, Trigonometry, Coordinate Geometry, Probability, Statistics, to Mechanics, it provides all the key formulas needed for JEE Main & Advanced exams. StudentBro.in offers step-by-step explanations, organized formula sheets, and practice problems to help students strengthen their concepts, boost confidence, and maximize performance in entrance exams.