Unit-09: Trigonometric Functions | MCQs

Unit-09: Trigonometric Functions

Multiple Choice Questions 

Trigonometric functions are essential mathematical functions that establish relationships between the angles of a right-angled triangle and the ratios of its sides. These functions, namely sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc), extend beyond right-angled triangles to describe periodic phenomena, wave motion, and oscillations. This unit explores the definitions of these functions, their properties, graphical representations

Unit-07: Mathematical Induction and Binomial Theorem | MCQs

 Unit-07: Mathematical Induction and Binomial Theorem

Multiple Choice Questions 

This unit explores two significant mathematical concepts: Mathematical Induction and the Binomial Theorem. Mathematical Induction is a powerful proof technique used to establish the truth of a statement for all natural numbers (or a subset thereof). It involves demonstrating a base case and then proving an inductive step that shows if the statement holds for an arbitrary case, it also holds for the subsequent case. The Binomial Theorem provides a systematic way to expand expressions of the form

Unit-06: Permutation and Combination | MCQs

Unit-06: Permutation and Combination

Multiple Choice Questions

Permutation and combination are essential concepts in combinatorics, a field of mathematics concerned with counting and arranging objects. Permutation refers to the arrangement of objects in a specific order, emphasizing the sequence of selection. Combination, on the other hand, focuses on the selection of objects without regard to their arrangement or order. This unit explores the fundamental principles of counting, introduces the formulas for

Unit-05: Polynomials| MCQs

Unit-05: Polynomials

Multiple Choice Questions 

Polynomials are algebraic expressions consisting of variables and coefficients, combined using addition, subtraction, and multiplication,  where the variables are raised to non-negative integer powers. This unit delves into the fundamental aspects of polynomials, including their definition, classification by degree and number of terms, and basic operations such as addition, subtraction,

Unit-03: Vectors | MCQs

 Unit-03: Vectors

Multiple Choice Questions 

A vector is a quantity possessing both magnitude (size) and direction. Unlike scalars, which are defined by a single numerical value, vectors are crucial for representing physical quantities such as displacement, velocity, acceleration, and force. This unit explores the fundamental concepts of vectors, including their representation, various operations (addition, subtraction,

Unit-04: Sequence and Series

 Unit-04: Sequence and Series 

Multiple Choice Questions 

Sequences and series are fundamental concepts in mathematics that deal with ordered lists of numbers and the sums of these numbers, respectively. A sequence is simply an ordered collection of elements, while a series is the sum of the terms of a sequence.

Unit-02: Matrices and Determinants | MCQs

 Unit-02: Matrices and Determinants 

Multiple Choice Questions 

Matrices and determinants are fundamental concepts in linear algebra with broad applications across mathematics, physics, engineering, computer science, and various other fields. A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns, while the determinant is a scalar value that can be computed from a square matrix.

Unit-01: Complex Numbers | MCQs

Unit-01: Complex Numbers

Multiple Choice Questions 

Unit-01: Complex Numbers introduces the fascinating world of complex numbers, starting with their definition and representation. You'll learn about real and imaginary parts, equality, and master basic algebraic operations.

Difference Between Qualitative and Quantitative Research

The difference between Qualitative and Quantitative Research is to understand the key fields of research and learning to differentiate between one and the other. In the field of business, science and technology, economics, etc, they use two standard ways of conducting research.

Difference Between Average and Mean

To understand the difference between average and mean, one must be aware of what separates one from the other. Average and mean are used interchangeably. In Statistics, instead of the term “average”, the term “mean” is used.

Difference Between Log and Ln

The difference between log and ln is that log is defined for base 10 and ln is denoted for base e. For example, log of base 2 is represented as log2 and log of base e, i.e. loge = ln (natural log).

Difference Between Mean and Median

 The difference between mean and median is explained in detail here. In statistics, mean is the average of a set of data and the median is the middle value of the arranged set of data.

Difference Between Variance and Standard Deviation

 Understanding the main difference between Variance and Standard deviation is important to know. These mathematical terms are usually used in normal mathematical equations to solve problems.

Difference Between Mutually Exclusive and Independent Events

The difference between mutually exclusive and independent events is: a mutually exclusive event can simply be defined as a situation when two events cannot occur at same time whereas independent event occurs when one event remains unaffected by the occurrence of the other event.

Difference Between Fraction and Rational Number

There is a massive difference between a fraction and a rational number. The concept of “fractional numbers” and “rational numbers” are closely related but are different in various aspects.

Difference between Relation and Function

The difference between relations and functions are a bit confusing as they both are closely related to each other.

Difference Between Natural and Whole numbers

The key difference between natural number and whole number is the presence of value ‘0’ in whole numbers. A number is an arithmetic value which is used to represent a particular quantity. The different types of numbers are classified based on their characteristic properties.

Difference between Parabola and Hyperbola

The major difference between parabola and hyperbola is based on their eccentricity. For parabola, eccentricity is equal to 1, and for hyperbola, eccentricity is greater than 1.

Difference between Length and Height

 Difference between length and height is very precise, as length denotes how long shape is and height denotes how tall it is. Length is the horizontal measurement in a plane whereas height is the vertical measurement.

Difference Between Rhombus and Parallelogram

 In Geometry, a quadrilateral is a four-sided polygon. The different quadrilaterals are square, rectangle, rhombus, parallelogram, kite, trapezium which have some similar characteristics. But these shapes are different from each other because of their few properties.