Determinants

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Definition of a Determinant A determinant is a square array of numbers or expressions arranged in rows and columns. The number of rows equals the number of...

Matrices

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Definition of a Matrix A matrix is a rectangular arrangement of elements in rows and columns. Represented by capital letters A, B, C, … Elements are denoted...

Inverse Trigonometric Functions 

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Definition of Inverse Trigonometric Functions sin⁻¹x = θ ⇔ sinθ = x cos⁻¹x = θ ⇔ cosθ = x tan⁻¹x = θ ⇔ tanθ = x cot⁻¹x = θ ⇔ cotθ =...

Statistics – Measures of Central Tendency & Dispersion

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Introduction Statistics deals with collection, presentation, analysis and interpretation of data. Main objective: to represent the entire data using a single...

Limits

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Definition of Limit The real number l is the limit of a function f(x) as x → a if for every ε > 0, there exists δ > 0 such that: 0 < |x − a|...

Hyperbola

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Standard Equation of a Hyperbola x²/a² − y²/b² = 1 (transverse axis along x-axis) y²/a² − x²/b² = 1 (transverse axis along y-axis) Centre: (0, 0)...

Ellipse

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Standard Equation of an Ellipse x²/a² + y²/b² = 1, where a > b > 0 Major axis along x-axis Centre: (0, 0) Symmetry Symmetric about x-axis Symmetric...

Parabola

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Definition A parabola is the locus of a point whose distance from a fixed point (focus) is equal to its distance from a fixed straight line (directrix)....

Circles

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Standard Forms of Equation of a Circle General Form x² + y² + 2gx + 2fy + c = 0 Centre: (−g, −f) Radius: √(g² + f² − c) Centre–Radius Form (x −...

Straight Lines

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Equation of a Straight Line General form: ax + by + c = 0 Equation of x-axis: y = 0 Equation of y-axis: x = 0 Line parallel to x-axis at distance a: y = a Line...

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