LINEAR INEQUALITIES

  LINEAR INEQUALITIES Mathematics is the art of saying many things in many different ways. – Maxwell  6.1 INTRODUCTION In earlier classes, we have studied equations in one variable and two variables and also solved some statement problems by translating them in the form of equations. Now a natural question arises: ‘Is it always possible to translate a … Read more

2D and 3D Geometry Formulas

   1. 2D SHAPES TRIANGLE A: Area, P: Perimeter Median Angle bisector RIGHT TRIANGLE  SQUARE RECTANGLE PARALLELOGRAM LOZENGE TRAPEZOID CONVEX QUADRILATERAL  CIRCLE SEGMENT OF CIRCLE SECTOR OF CIRCLE b: Arc length REGULAR POLYGON OF N SIDES HEXAGON 2. 3D SHAPES SPHERE V: Volume, A: Surface Area SPHERICAL CAP SPHERICAL SEGMENT SPHERICAL SECTOR TORUS CYLINDER A: … Read more

Sets

  The theory of sets was developed by German mathematician Georg Cantor (1845-1918). He first encountered sets while working on “problems on trigonometric series”.  Sets and their Representations  A set is a well-defined collection of objects.  The following points may be noted : (i) Objects, elements and members of a set are synonymous terms. (ii) … Read more