Angle Between Two Lines: This formula helps to find the angle between two lines when the slopes are known. Here, $m_1$ represents the slope of line 1 and $m_2$ represents the slope of line 2. 1. $tan \theta = \left ( \pm \dfrac{m_1 - m_2}{1 + m_1.m_2} \right )$ When two lines are perpendicular then the slopes of the lines are …

The ordered pair is a pair of objects in which the occurrence of each component is governed by some specific rules (order). The first component of an ordered pair is known as antecedent and the second component is known as consequent. Two ordered pairs are said to be equal if their corresponding components are equal. …

Find the notes here: 1. Introduction To Matrix 2. Types of Matrix 3. Determinant of 2x2 Matrix 4. Inverse of 2x2 Matrix 5. Solution of a System of Linear Equations - Matrix Method 6. Cramer's Rule Out of Syllabus 7. Transpose of a Matrix Overview:  Matrix  is the way of storing data, especially numbers in rectangul…

Statistics is an important chapter that teaches us to measure values, data sets, group of data and more in real life. Here, we will learn the methods of dispersion, quartile deviation, mean deviation and standard deviation, their representation and formulae only. Click here to see the explanation and solutions of problems using all …

Operations on Matrices and Their Properties Normally , we have four main operations that we do in mathematics: addition, subtraction, multiplication and division. Here we will discuss addition, subtraction, transpose and multiplication of matrices, along with some properties. Previously, we discussed about: Introduction to Matrix No…

Overview:  Matrix  is the way of storing data, especially numbers in rectangular array, arranged in rows and columns format. Each data (number) in a matrix is called its  element  or  entry . Every matrices are denoted by a capital letter. The size of the matrices is denoted by a small letter followed by two suffix. There are some s…

Algebra: Contents Algebraic Functions Trigonometric Functions Composite Functions Inverse Functions Division of Polynomials Synthetic Division Remainder Theorem Factor Theorem Polynomial Equation Arithmetic Sequence and Seri…

Online Simple and Easy Trigonometry Test for Beginners | Sci-Pi Tutor (scipitutor.com)

Compound Angles Value s o f some angles are already known to us through the value table i.e. 0 ° , 30 ° , 45 ° , 60 °  and 90 ° . But, there are many more angles whose values are not directly indicated by the value table. And value of those angles can be obtained by adding or subtracting the values of two kn…