Chapters
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Real Numbers
Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers, fractions and irrational numbers such as √3, π(22/7), etc.
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Polynomials
Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations.
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Pair of Linear Equations in Two Variables
Linear equations in two variables can be expressed as ax + by + c = 0, where a, b & c are real numbers and both a & b are not zero.
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Quadratic Equations
Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations.
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Arithmetic Progressions
An arithmetic progression (AP), also called an arithmetic sequence, is a sequence of numbers which differ from each other by a common difference.
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Triangles
Triangle is a three-sided polygon that consists of three edges and three vertices. Important property of a triangle is that sum of the internal angles of triangle is equal to 180 degrees.
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Coordinate Geometry
Coordinate geometry is defined as the study of geometry using the coordinate points. It is one of the branches of geometry where the position of a point is defined using coordinates.
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Introduction to Trigonometry
Trigonometry is one of the most important branches in mathematics that finds huge application in diverse fields. It classified into two sub-branches.
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Some Applications of Trigonometry
Trigonometry is used in developing computer music: as you are familiar that sound travels in the form of waves and this wave pattern, through a sine or cosine function for developing music.
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Circles
A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”.
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Constructions
In this lecture, we will discuss how to construct the division of the line segment, the construction of tringles using scale factor in detail.
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Areas Related to Circles
A circle is a path of a point which moves in such a way that its distance from a fixed point is a constant.
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Surface Areas and Volumes
Surface area is a two-dimensional measure, while volume is a three-dimensional measure. The amount of space, measured in cubic units, that an object or substance occupies
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Statistics
Statistics is the study and manipulation of data, including ways to gather, review, analyze, and draw conclusions from data. It is a mathematical discipline to collect, summarize data.
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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.