Maths
Maths Concept Lab
Watch graphs morph, tangents slide, and areas fill. Maths stops being abstract when you can see every formula in action.
Quadratic Curves
Adjust a, b, c. See parabola, roots, discriminant, vertex.
Open โUnit Circle + Trigonometry
Adjust angle. See sin, cos, tan values and quadrants.
Open โDerivatives & Tangents
Move point on curve. See tangent slope and derivative.
Open โIntegration / Area
Adjust bounds and rectangles. See Riemann sum converge.
Open โLimits & Continuity
See holes, removable discontinuities, and limits.
Open โVectors (2D)
Adjust components. See addition, dot and cross products.
Open โComplex Numbers
Adjust real/imaginary. See modulus, argument, rotation.
Open โBinomial Distribution
Adjust n and p. See probability bars and mean.
Open โAP & GP Series
Adjust first term, difference/ratio, n. See growth.
Open โConic Sections
Adjust eccentricity. See circle โ ellipse โ parabola โ hyperbola.
Open โTrig Graphs
Adjust amplitude, frequency, phase. See sin/cos/tan.
Open โLog & Exponential
Adjust base, coefficient. See growth/decay curves.
Open โStraight Lines
Adjust slope, intercept. See line equation.
Open โCircle Geometry
Adjust center, radius. See circle equation.
Open โPermutations & Combinations
Adjust n, r. See nPr, nCr calculations.
Open โMatrices & Determinants
Adjust 2ร2 entries. See determinant, inverse.
Open โInverse Trig Functions
Adjust x value. See arcsin, arccos, arctan.
Open โDifferential Equations
Adjust k, y0. See dy/dx = ky solution curves.
Open โMaxima & Minima
Adjust cubic coefficients. See critical points.
Open โ3D Planes
Adjust plane coefficients. See plane in 3D space.
Open โBayes' Theorem
Adjust priors. See posterior probability update.
Open โModulus Functions
See |x|, [x], and signum function graphs.
Open โBinomial Theorem
Pascal's triangle and binomial expansion coefficients.
Open โParabola
Focus, directrix, latus rectum visualization.
Open โEllipse
Foci, eccentricity, and major/minor axes.
Open โHyperbola
Asymptotes, foci, and eccentricity.
Open โSets & Relations
Venn diagrams and set operations.
Open โMathematical Reasoning
Truth tables and logical operations.
Open โStatistics
Mean, median, mode, variance and standard deviation.
Open โHeight & Distance
Angle of elevation and trigonometric height calculation.
Open โIndefinite Integration
Antiderivative families and integration formulas.
Open โDefinite Integration
Area under curve between two bounds.
Open โContinuity & Differentiability
Smooth, corner, jump, and hole behavior.
Open โCoordinate Geometry
Distance, midpoint, and section formula.
Open โVectors 3D
Cross product, dot product, and 3D visualization.
Open โApplication of Derivatives
Rate of change, tangents, and normals.
Open โArea Under Curve
Area between two curves using integration.
Open โDeterminants
3ร3 determinant calculation and properties.
Open โMatrices
Addition, multiplication, and inverse.
Open โSequences & Series
AP, GP, and their sums.
Open โPermutations
nPr and circular permutations.
Open โCombinations
nCr and Pascal's identity.
Open โTrig Equations
General solutions on the unit circle.
Open โ
Maths study guides
Understand any Maths topic
Prefer reading over adjusting sliders? These in-depth guides break every topic into formulas, JEE tricks, and common mistakes.
Most Scoring Topics
Read โChapter Dependency Map
Read โFormula Revision
Read โCalculation Speed
Read โPaper Attempt Order
Read โWeightage
Read โChapter Guides
Read โ๐ Quadratic Curves
AlgebraWhat's happening? Change a to flip the parabola. Change b to shift the vertex. Change c to move it up/down. Watch how the discriminant determines real vs imaginary roots.
โญ Unit Circle + Trigonometry
TrigonometryWhat's happening? The point on the unit circle has coordinates (cosฮธ, sinฮธ). Watch how sin and cos change as the angle sweeps through all four quadrants.
๐ Derivatives & Tangents
CalculusWhat's happening? The tangent line's slope at any point = f'(x). For f(x) = xยฒ, the derivative is 2x. Move the point and watch the tangent rotate.
๐ Integration / Area Under Curve
CalculusWhat's happening? More rectangles = better approximation. The Riemann sum converges to the exact integral as nโโ. This is the fundamental idea of integration.
๐ฏ Limits & Continuity
CalculusWhat's happening? f(x) = (xยฒ-1)/(x-1) has a hole at x=1. The limit exists (equals 2) but the function is undefined there. This is a removable discontinuity.
โก๏ธ Vectors (2D)
VectorsWhat's happening? R = A + B. The parallelogram law shows vector addition geometrically. Dot product measures projection, cross product measures perpendicularity.
๐ Complex Numbers (Argand)
Complex NumbersWhat's happening? z = a + bi is a point on the Argand plane. |z| = โ(aยฒ+bยฒ) is the distance from origin. Rotating by ฮธ multiplies by e^(iฮธ).
๐ Binomial Distribution
ProbabilityWhat's happening? P(X=k) = C(n,k)p^k(1-p)^(n-k). The distribution peaks at the mean ฮผ = np. Change p to skew the distribution left or right.
๐ข AP & GP Series
SequencesWhat's happening? AP: each term adds d. GP: each term multiplies by r. GP converges when |r| < 1. Watch the bars grow linearly (AP) vs exponentially (GP).
๐ฎ Conic Sections
Coordinate GeometryWhat's happening? e = 0: circle. 0 < e < 1: ellipse. e = 1: parabola. e > 1: hyperbola. The eccentricity controls the shape โ one slider, four conics.
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