Name: R D Mathematics Practical Lab Manual For Class 12th
Brand: Amit Book Depot
Price: 350 INR
Availability: InStock

R D Mathematics Practical Lab Manual For Class 12th by Aruna Sharma is a meticulously designed CBSE lab manual that aligns with the latest Class 12 Mathematics syllabus. Published by R.D. Publication, this mathematics practical book is an essential resource for students to develop a strong conceptual understanding through hands-on activities, experiments, and projects. It covers a wide range of topics, including relations and functions, calculus, vectors, 3D geometry, probability, and differential equations, ensuring comprehensive preparation for board exams and competitive tests.

Key Features of the Book

1. Activity-Based Learning: The manual includes 27 well-structured activities that help students verify mathematical concepts experimentally, reinforcing theoretical knowledge with practical applications.

2. Project Work: Four detailed projects encourage critical thinking and problem-solving skills, covering real-life applications such as optimization, population estimation, 3D coordinate geometry, and differential equations.

3. Graphical Illustrations: Step-by-step graph plotting exercises for trigonometric, exponential, and logarithmic functions enhance visualization skills.

4. Theorems & Verification: Practical verification of Rolle’s Theorem, Lagrange’s Mean Value Theorem, continuity, and differentiability ensures a deeper grasp of advanced calculus.

5. Vector & 3D Geometry: Hands-on exercises on vectors, planes, and skew lines strengthen spatial reasoning.

6. Probability & Statistics: Real-world experiments on conditional probability using dice make abstract concepts tangible.

7. Exam-Oriented Approach: The manual follows CBSE guidelines, making it ideal for practical exams, viva voce, and project submissions.

Why Choose This Book?

1. CBSE-Aligned: Strictly follows the Class 12 Mathematics practical syllabus.

2. Concept Clarity: Bridges the gap between theory and practical application.

3. Enhanced Problem-Solving: Encourages analytical thinking through experiments and projects.

4. Exam Ready: Ideal for scoring high in practical exams and internal assessments.

This Mathematics Lab Manual Class 12 is a must-have for students aiming for top grades in CBSE exams and building a strong foundation for JEE, NEET, and other competitive exams.

Have Doubts Regarding This Product ? Ask Your Question

Q1

Is this Mathematics Lab Manual aligned with the latest CBSE Class 12 syllabus?

A1

Yes, it strictly follows the CBSE Class 12 Mathematics practical syllabus.
Q2

How many activities and projects are included in this manual?

A2

It contains 27 activities and 4 projects covering key mathematical concepts.
Q3

Does this book help with graph plotting and visualization?

A3

Yes, it includes exercises on plotting sin x, exponential, and logarithmic functions with mirror reflections.
Q4

Can this manual be used for JEE/NEET preparation?

A4

Absolutely! It strengthens calculus, vectors, and 3D geometry—essential for competitive exams.
Q5

Does it include real-life application projects?

A5

Yes, projects on cost minimization, population estimation, and cooling processes are included.
Q6

Is Rolle’s Theorem and Lagrange’s Mean Value Theorem covered practically?

A6

Yes, Activity-11 and Activity-12 verify these theorems experimentally.
Q7

How does this book help in understanding probability?

A7

It includes dice-based experiments to explain conditional probability.
Q8

Is 3D geometry explained with practical examples?

A8

Yes, activities on distance measurement, planes, and skew lines enhance understanding.
Q9

Does it cover maxima-minima problems?

A9

Yes, Activity-14 to Activity-18 focus on optimization and area maximization.
Q10

Can this book be used for self-study?

A10

Definitely! The clear instructions and illustrations make it suitable for independent learning.

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Activity-1

To Verify that the relation R in the set L of all lines in a plane, defined by R = {(l, m): 1 m) is symmetric but neither reflexive nor transitive.

Activity-2

To verify that the relation R in the set L of all lines in a plane, defined by R = { (1, m): 1 m is an equivalence relation.

Activity-3

To demonstrate a function which is not one-one but is onto.

Activity-4

To demonstrate a function which is one-one but not onto

Activity-5

To draw the graph of sinx, using the graph of sin x and demonstrate the concept of mirror reflection (about the line y = x)

Activity-6

To explore the principal value of the function sinx, using a unit circle.

Activity-7

To sketch the graph of sa and alog x, (a>0, a 1) and to examine that they are mirror image of each other.

Activity-8

To establish a relationship between common logarithm (logie x) and natural logarithm)(logxe.

Activity-9

The find analytically the limit of a function at x = a and also check the continuity of the function at that point.

Activity-10

To verify that for a function/be continuous at point x, 0000QyfxxfxA=+A-is arbitrarily small provide is sufficiently small.

Activity-11

To verify Rolle's theorem

Activity-12

To verify Lagrange's Mean Value Theorem.

Activity-13

To understand the concept of decreasing and increasing functions

Activity-14

To understand the concepts of local maxima, local minima and point of inflexion

Activity-15

To understand the concepts of absolute maximum and absolute minimum values of function in a given closed interval.

Activity-16

To construct an open box of maximum volume from a given rectangular sheet by cutting equal squares from each corner.

Activity-17

To find time when the area of a rectangle of given dimensions become maximum, if length is decreasing and the breadth is increasing at given rates

Activity-18

To verify that amongst all the rectangles of given perimeter, the square has the maximum area.

Activity-19

To evaluate the definite integral (+2021 der as a limit of sum and verify it by actual integration.

Activity-20

To verify geometrically that beacbac

Activity-21

To verify that angle in a semi-circle is a right angle, using vector method

Activity-22

To locate the points to given coordinates in space, measure distance between two points in space and then to verify the distance using distance formula.

Activity-23

To demonstrate the equation of a plane in normal form.

Activity-24

To verify that the angle between two planes is the same as the angle between their normal.

Activity-25

To find the distance of given point (in space) from a plane (passing through three non collinear points) by actual measurement and also analytically.

Activity-26

To measure the shortest distance between two skew lines and verify it analytically.

Activity-27

To explain the computation of conditional probability of a given event A, when event B has already occurred, with the help of pair of dice.

Project-1

To minimize the cost of food, meeting the dietary requirements of the food.

Project-2

Estimation of the population of a particular region under the assumptions that there is no migration in or out of the existing population in a particular year.

Project-3

To find the coordinates of different points identified in our classroom using the concept of three-dimensional geometry. Then finding the distance between the identified points.

Project-4

Formation of differential equation to explain the process of cooling of boiled water to a given room temperature.

List of Project