1. ALGEBRA: DETERMINANTS
Introduction — What is a determinant? A determinant is a special number associated with a square matrix. For a 2×2 or 3×3 matrix, it is a single number that tells…
2. ALGEBRA: MATRICES
Introduction — What is a Matrix? A matrix is a rectangular arrangement of numbers written in rows and columns. It is used in solving linear equations, representing data, handling transformations,…
3. TRIGONOMETRY: SIDES AND ANGLES OF A TRIANGLE
Basics — Naming the Sides and Angles In any triangle ABC: Theorem — Relationship Between Sides and Angles In any triangle ABC, the sides and angles follow several standard trigonometric…
4. TRIGONOMETRY: SOLUTION OF TRIANGLES
Introduction — What Does “Solution of Triangles” Mean? The solution of a triangle means finding all unknown sides and angles of a triangle when certain pieces of information are given.…
5. ANALYTICAL GEOMETRY: POINTS
Introduction to Analytical Geometry Analytical geometry (also called coordinate geometry) studies geometric figures using the coordinate system. A point is represented using (x, y) in a plane. Every location in…
6. ANALYTICAL GEOMETRY: STRAIGHT LINE
In analytical geometry, a straight line represents the shortest distance between two points. Its equation helps us understand the position, slope, and behavior of the line in the coordinate plane.…
7. ANALYTICAL GEOMETRY: CIRCLE
Introduction A circle is the set of all points in a plane that are at a fixed distance (radius) from a fixed point called the centre. Analytical geometry allows us…