Algebra

Algebra: Types of Relations

Algebra: Types of Relations 150 150 SchoolTutoring Academy

A relation from a set A to set B  is nothing but a subset of the cartesian product of A and B which is denoted by AXB. The types of…

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Algebra: The Subject of a Formula and Substitution

Algebra: The Subject of a Formula and Substitution 150 150 SchoolTutoring Academy

The subject of the formula is the variable which is on the left hand side of the formula. The subject of the formula can be changed using algebraic operations. Equations…

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Algebra: Operations on Like Terms

Algebra: Operations on Like Terms 150 150 SchoolTutoring Academy

Like terms are the mathematical terms with the same bases and same exponents. The process of adding/subtracting the like terms is mostly used while doing the operations on polynomials. Example:…

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Algebra: Forming a Formula

Algebra: Forming a Formula 150 150 SchoolTutoring Academy

A formula is a mathematical statement which represents the relation between the values of the variables. A formula is used to find the value of any variable which is included…

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Writing the Equation of Perpendicular Lines

Writing the Equation of Perpendicular Lines 150 150 SchoolTutoring Academy

Two lines are said to be perpendicular if the angle between them is 90º (90 degrees). There is a result on perpendicular line which states: Two lines are perpendicular if…

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Algebra: Simultaneous Linear Equations

Algebra: Simultaneous Linear Equations 150 150 SchoolTutoring Academy

A linear equation is an equation with the degree 1. It means, the highest power of the variable in the linear equation is 1. The simultaneous linear equations are set…

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Writing the Equations of Parallel Lines

Writing the Equations of Parallel Lines 150 150 SchoolTutoring Academy

Two lines are said to be parallel if the angle between them is zero. There is a result on parallel line which is states as : “Two lines are parallel…

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Operations on Complex Numbers

Operations on Complex Numbers 150 150 SchoolTutoring Academy

A number which is of the form a+ib, where a and b are real numbers and i2 =-1, is called a complex number and is usually denoted by z. i.e.…

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Number Theory: Linear Equations

Number Theory: Linear Equations 150 150 SchoolTutoring Academy

A linear equation is an equation whose degree is 1. i.e. In a linear equation, the highest power of the variable is 1. Example: i)                 x+3 = 5 ii)                y-5=8…

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Modulus and Conjugate of a Complex Number

Modulus and Conjugate of a Complex Number 150 150 SchoolTutoring Academy

Their are two important data points to calculate, based on complex numbers. They are the Modulus and Conjugate. Modulus of a complex number: The modulus of a complex number z=a+ib…

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