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Differential Equations | Types, Order, Degree, Solved Examples | Class 12 Math Notes Study Material Download Free PDF

January 15, 2025 by Neeraj Anand, Param Anand
A differential equation is an equation which contains one or more terms and the derivatives of one variable (i. E. , dependent variable) with respect to the other variable (i. E. , independent variable)

Differential Equation Definition A differential equation is an equation which contains one or more terms and the derivatives of one …

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Area Between Two Curves Using Integration | Class 12 Math Notes Study Material Download Free PDF

January 11, 2025 by Neeraj Anand, Param Anand
As we all know, integration means calculating the area by dividing the region into many elementary strips and then adding up these elemental areas. We can calculate the area bounded by a curve and a line between a given set of points at this stage. In the upcoming discussion, you will learn how to find the enclosed area between two curves in calculus with two cases and examples.

As we all know, integration means calculating the area by dividing the region into many elementary strips and then adding …

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Important Integration Questions With Answers | Class 12 Math Notes Study Material Download Free PDF

January 11, 2025 by Neeraj Anand, Param Anand
Integration questions with answers are available here for students of class 11 and class 12. Integration is an important topic for 11th and 12th standard students as these concepts are further covered in higher studies. The problems provided here are as per the cbse board and ncert curriculum. Exercising these questions will help students to solve the hard questions also and obtain more marks in the exam. Learn integration rules here.

Integration questions with answers are available here for students of Class 11 and Class 12. Integration is an important topic …

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Indefinite Integrals MCQs With Answers | Class 12 Math Notes Study Material Download Free PDF

September 26, 2025January 11, 2025 by Neeraj Anand, Param Anand
Check out the mcqs for class 12 maths chapter 7 integrals. Each mcq is provided with four options, out of which only one option is correct. Students should choose the correct option and cross-verify their answers to the solutions provided on our page. Also, check important questions for class 12 maths.

MCQs on Class 12 Maths Chapter 7 Integrals Check out the MCQs for Class 12 Maths Chapter 7 Integrals. Each …

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Application of Integrals MCQs (With Answers) | Class 12 Math Notes Study Material Download Free PDF

September 26, 2025January 11, 2025 by Neeraj Anand, Param Anand
Check out the class 12 maths chapter 8 application of integrals multiple-choice questions. Each mcq has four options, but only one of them is correct. Students must select the appropriate option and compare their results to the solutions on this page. Also, check important questions for class 12 maths.

MCQs on Class 12 Maths Chapter Application of Integrals Check out the Class 12 Maths Chapter 8 Application of Integrals …

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Area under Curves – Tricks for Solving Area under Curves | Class 12 Math Notes Study Material Download Free PDF

January 11, 2025 by Neeraj Anand, Param Anand
If the area under one curve and another curve can be found, then the area between the curves can be calculated.

Important Concepts on Area under the Curves If the area under one curve and another curve can be found, then …

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Area Under The Curve Using Integration | Class 12 Math Notes Study Material Download Free PDF

January 11, 2025 by Neeraj Anand, Param Anand
In calculus, we have seen definite integral as a limit of a sum and we know how to evaluate it using the fundamental theorem of calculus. In the upcoming discussion, we will see an easier way of finding the area bounded by any curve and x-axis between given coordinates. To determine the area under the curve we follow the below method.

In Calculus, we have seen definite integral as a limit of a sum and we know how to evaluate it …

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Direction Cosines & Direction Ratios – Definitions & Examples | Class 12 Math Notes Study Material Download Free PDF

January 16, 2025 by Neeraj Anand, Param Anand
When a directed line op passing through the origin makes \(\begin{array}{l}\alpha \end{array} \) , \(\begin{array}{l}\beta\end{array} \) and \(\begin{array}{l} \gamma\end{array} \) angles with the \(\begin{array}{l}x\end{array} \) , \(\begin{array}{l}y \end{array} \) and \(\begin{array}{l}z \end{array} \) axis respectively with o as the reference, these angles are referred as the direction angles of the line and the cosine of these angles give us the direction cosines. These direction cosines are usually represented as l, m and n.

Direction Cosines When a directed line OP passing through the origin makes \(\begin{array}{l}\alpha \end{array} \) , \(\begin{array}{l}\beta\end{array} \) and \(\begin{array}{l} …

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Equation of Line in Three Dimensions | Cartesian & vector Equation | Class 12 Math Notes Study Material Download Free PDF

January 17, 2025 by Neeraj Anand, Param Anand
Equation of a line is defined as y= mx+c, where c is the y-intercept and m is the slope. Vectors can be defined as a quantity possessing both direction and magnitude. Position vectors simply denote the position or location of a point in the three-dimensional cartesian system with respect to a reference origin.

Equation of a line is defined as y= mx+c, where c is the y-intercept and m is the slope. Vectors …

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Types Of Sets-Empty Set, Non-Empty Set, Finite Set, Infinite Set, Singleton Set, Equivalent Set, Subset, Superset, Power Set, Universal Set | Class 11 Math Notes Study Material Download Free PDF

January 17, 2025 by Neeraj Anand, Param Anand
A well-defined collection of objects or items or data is known as a set. The objects or data are known as the element. For example, the boys in a classroom can be put in one set, all integers from 1 to 100 can become one set, and all prime numbers can be called an infinite set. The symbol used for sets is {….. }. Only the collection of data with specific characteristics is called a set.

A well-defined collection of Objects or items or data is known as a set. The objects or data are known …

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Download free NCERT Solutions for Class 12 Math Chapter 13 Probability from Anand Classes. Get clear, step-by-step solutions and printable notes for exam preparation.

Probability NCERT Solutions Miscellaneous Exercise Class 12 Chapter-13 Math Notes PDF Free Download (Set-2)

Download free NCERT Solutions for Class 12 Math Chapter 13 Probability from Anand Classes. Get clear, step-by-step solutions and printable notes for exam preparation.

NCERT Solutions Probability Miscellaneous Exercise Class 12 Chapter-13 Math Notes PDF Free Download (Set-1)

Download free NCERT Solutions for Class 12 Math Chapter 13 Probability from Anand Classes. Get clear, step-by-step solutions and printable notes for exam preparation.

NCERT Solutions Probability Exercise 13.3 Class 12 Chapter-13 Math Notes PDF Free Download (Set-2)

Download free NCERT Solutions for Class 12 Math Chapter 13 Probability from Anand Classes. Get clear, step-by-step solutions and printable notes for exam preparation.

Probability NCERT Solutions Exercise 13.3 Class 12 Chapter-13 Math Notes PDF Free Download (Set-1)

Download free NCERT Solutions for Class 12 Math Chapter 13 Probability from Anand Classes. Get clear, step-by-step solutions and printable notes for exam preparation.

Probability NCERT Solutions Exercise 13.2 Class 12 Chapter-13 Math Notes PDF Free Download (Set-2)

Download free NCERT Solutions for Class 12 Math Chapter 13 Probability from Anand Classes. Get clear, step-by-step solutions and printable notes for exam preparation.

Probability NCERT Solutions Exercise 13.2 Class 12 Chapter-13 Math Notes PDF Free Download (Set-1)

Download free NCERT Solutions for Class 12 Math Chapter 13 Probability from Anand Classes. Get clear, step-by-step solutions and printable notes for exam preparation.

Probability NCERT Solutions Exercise 13.1 Class 12 Chapter-13 Math Notes PDF Free Download (Set-1)

Download free NCERT Solutions for Class 12 Math Chapter 13 Probability from Anand Classes. Get clear, step-by-step solutions and printable notes for exam preparation.

Probability NCERT Solutions Exercise 13.1 Class 12 Chapter-13 Math Notes PDF Free Download (Set-2)

Download free NCERT Solutions for Class 12 Chapter 11 Three Dimensional Geometry from Anand Classes. Clear, step-by-step maths notes in PDF format.

Three Dimensional Geometry NCERT Solutions Miscellaneous Exercise Chapter-11 Class 12 Math Notes PDF Free Download

Download free NCERT Solutions for Class 12 Chapter 11 Three Dimensional Geometry from Anand Classes. Clear, step-by-step maths notes in PDF format.

Three Dimensional Geometry NCERT Solutions Exercise 11.2 Chapter-11 Class 12 Math Notes PDF Free Download (Set-2)

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