Chapters
Nishant Saboo
Number Systems
A number system is defined as a system of writing to express numbers. It provides a unique representation of every number & represents the arithmetic & algebraic structure of the figures.
Nishant Saboo
Polynomials
A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations.
Nishant Saboo
Coordinate Geometry
Coordinate Geometry is one of the branches of geometry where the position of a point is defined using coordinates. It is used to divide any line into two parts, in m:n ratio.
Nishant Saboo
Linear Equations in Two Variables
An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y are not equal to zero.
Nishant Saboo
Euclid’s Geometry
Euclidean geometry is the study of geometrical shapes (plane and solid) and figures based on different axioms and theorems. It is basically introduced for flat surfaces or plane surfaces.
Nishant Saboo
Lines and Angles
A line is a straight one-dimensional figure, that extends in the opposite directions infinitely. Angles are the shape that is formed when the endpoints of two rays meet at a single point.
Nishant Saboo
Triangles
A Triangle is a three-sided polygon that consists of three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees.
Nishant Saboo
Quadrilaterals
A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points. The sum of interior angles of quadrilaterals is always equal to 360 degrees.
Nishant Saboo
Areas of Parallelograms and Triangles
Area of a triangle = ½ x Base x Altitude. Area of a parallelogram = Base x Height. Triangles having the same base and equal areas lie between the same parallels.
Nishant Saboo
Circles
A circle is also termed as the locus of the points drawn at an equidistant from the centre. The distance from the centre of the circle to the outer line is its radius.
Nishant Saboo
Surface Areas and Volumes
Surface area is a two-dimensional measure, while volume is a three-dimensional measure. Two figures can have the same volume but different surface areas.
Nishant Saboo
Statistics
Statistics is the study of the collection, analysis, interpretation, presentation, and organization of data. In other words, it is a mathematical discipline to collect, summarize data.
Nishant Saboo
Probability
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.