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Vohra Conceptual's Mathematics Lab Manual For Class 11th

by Madhurima
₹275 ₹275.00(-/ off)

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The Vohra Conceptual's Mathematics Lab Manual for Class 11, authored by Sushma Pandhi, is a comprehensive CBSE-aligned practical guide. It enables hands-on learning through activities covering sets, trigonometry, complex numbers, conic sections, calculus, and mathematical reasoning. Designed to complement the NCERT book, this manual helps students verify theories, plot graphs, construct models, and develop deep conceptual understanding. It is essential for practical file work, board exam preparation, and building a strong foundation for competitive exams like JEE. Published by Vohra Publishing House, it is the perfect resource for effective activity-based learning in Class 11 Mathematics.

Have Doubts Regarding This Product ? Ask Your Question

  • Q1
    Is this lab manual strictly based on the latest CBSE Class 11 Mathematics syllabus?
    A1

    Yes, the manual is meticulously crafted to align with the latest CBSE curriculum and the spirit of NEP 2020, covering all prescribed practical topics.

  • Q2
    Does the manual include activities for the entire year, or is it chapter-specific?
    A2

    It is a comprehensive annual manual, containing 27 structured activities spanning all major units of the Class 11 syllabus, from Sets to Probability.

  • Q3
    How does this manual help in preparing for the CBSE Class 11 practical examinations?
    A3

    It provides a complete record of activities with clear steps, observation tables, and viva voce questions, serving as a ready reference for creating your practical file and preparing for the lab assessment.

  • Q4
    Are there instructions for constructing geometrical models like parabolas and ellipses?
    A4

    Absolutely. The manual provides multiple, detailed methods (like the pinpoint and string method) for constructing accurate models of conic sections, which are often part of project work.

  • Q5
    Does it explain the connection between logical operations in mathematics and real-world applications?
    A5

    Yes, it uniquely uses simple electrical circuits with switches to visually and physically demonstrate the truth values of compound statements (p^q, pvq), linking abstract logic to a tangible application.

  • Q6
    Are solutions or expected observations provided for the activities?
    A6

    The manual guides students through the process and provides a framework for recording observations. The focus is on self-verification, but the methodology leads to the standard theoretical result.

  • Q7
    Can this manual be used for self-study if my school does not have a dedicated math lab?
    A7

    Yes, most activities are written clearly enough for motivated students to perform at home with minimal guidance, making it an excellent tool for independent learning and exploration.

  • Q8
    Does it cover the graphical approach to understanding trigonometric functions and inequalities?
    A8

    Yes, there are specific activities dedicated to plotting graphs of sin x, sin 2x, etc., on the same axes for comparison and shading the solution region for linear inequalities.

  • Q9
    Are there activities to derive formulas, like the sum of squares of the first n natural numbers?
    A9

    Yes, the manual includes innovative activities that guide students through a step-by-step process to visually or algebraically arrive at and verify such important formulas.

  • Q10
    How does the manual help in understanding three-dimensional coordinate geometry?
    A10

    It includes an activity to explain the concept of octants using three mutually perpendicular planes (like a corner of a room), building a spatial understanding crucial for 3D geometry.

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1. To find the number of subsets of a given set A and verify that if A has n elements, then the total number of subsets of A is 2n.
2. To represent set-theoretic operations using Venn diagrams.
3. To verify that for two sets A and B, n (A x B) = mn and the total number of relations from A to B is 2mn, where n (A) = m and n (B) = n.
4. To distinguish between a relation and a function
5. To verify the relation between the degree measure and the radian measure of an angle.
6. To find the values of sine and cosine functions in the second, third, and fourth quadrants using their given values in the first quadrant.
7. To prepare a model to illustrate the values of the sine function and cosine function for different angles that are multiples of π/2
8. To plot the graph of sin x, sin 2x, 2 sin x, and sin π/2 using the same coordinate axes.
9. To interpret geometrically the meaning of i = √1 and its integral powers.
10. To verify that the graph of a given inequality, say 3x + 4y < 12, of the form ax + by < c, where a, b, and c are greater than 0, represents one of the two half-planes.
11. To find the number of ways in which three cards can be selected from the given 5 cards.
12. To construct Pascal’s Triangle and to write binomial expansion for a given positive integral exponent.
13. To obtain the formula for the sum of squares of the first n natural numbers.
14. To demonstrate that the arithmetic mean of two different positive numbers is always greater than the geometric mean.
15. To establish the formula for the sum of cubes of the first n natural numbers.
16. To verify that the equation of a line passing through the point of intersection of two lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 is of the form (a1x + b1y + c1) + y(a2x + b2y + c2) = 0
17. To construct different types of conic sections.
18. To construct a parabola.
19. An alternative method of constructing a parabola.
20. To construct an ellipse when two fixed points are given.
21. To construct an ellipse with given major and minor axes.
22. To explain the concept of octants by three mutually perpendicular planes in space.
23. To find analytically whether lim f(x) exists or not, with the help of examples. X—> c
24. To verify the geometrical significance of the derivative (i.e., the derivative of a function at a point is equal to the slope of the tangent to its curve at that point).
25. To obtain truth values of compound statements of the type pvq by using switch connections in parallel.
26. To obtain truth values of compound statements of the type p^q by using switch connections in series.
27. To write the sample space when a coin is tossed once, two times, three times, or four times.

The Vohra Conceptual's Mathematics Lab Manual for Class 11 is an essential educational resource meticulously designed to align with the latest CBSE curriculum and the National Education Policy (NEP) 2020. Authored by Sushma Pandhi and published by Vohra Publishing House, this manual transforms abstract mathematical theories into tangible understanding through a structured, activity-based learning approach. It serves as a critical bridge between theoretical knowledge from the NCERT book and practical application, fostering a deep, conceptual grasp of Class 11 Mathematics fundamentals.

This comprehensive lab manual is built on the core philosophy that mathematics is best learned by doing. It moves beyond rote memorization, encouraging students to engage in hands-on activities, model building, and experimental verification. Each experiment and project is crafted to stimulate curiosity, develop analytical thinking, and enhance problem-solving skills—key competencies for success in board examinations and competitive exams like JEE and NEET.

The table of contents outlines a progressive journey through the crucial topics of CBSE Class 11 Maths. The manual begins with foundational concepts in sets and relations, where students verify formulas for subsets and relations using practical methods. It then advances to Trigonometric Functions, offering activities to master quadrant rules, radian measures, and graphical representations of sine and cosine waves. These visual and practical exercises demystify complex graphs and angle properties.

In the sections on Complex Numbers and Linear Inequalities, learners geometrically interpret 'i' (√-1) and graph solution sets of inequalities, making these often-intimidating topics accessible and clear. The Permutations and Combinations and Binomial Theorem chapters include activities with cards and the construction of Pascal’s Triangle, providing concrete context to combinatorial reasoning and algebraic expansions.

A significant portion of the manual is dedicated to sequences and series, guiding students to derive and verify formulas for the sum of squares and cubes of natural numbers and to demonstrate the relationship between arithmetic mean and geometric mean. The Conic Sections unit is particularly rich, with multiple methods for constructing parabolas and ellipses, allowing students to literally draw and understand the geometric definitions of these curves.

The curriculum extends to three-dimensional geometry, explaining octants through models, and to the core principles of calculus. Here, students explore the conceptual meaning of limits and verify the fundamental principle that a derivative represents the slope of a tangent line. Finally, the Mathematical Reasoning chapter innovatively uses simple electric circuits with switches in series and parallel to physically represent and understand logical connectives (AND, OR) and truth values, linking mathematics to practical technology.

Key features of this Mathematics Lab Manual include:

1. Strict CBSE Syllabus Alignment: Every activity corresponds directly to the prescribed Class 11 topics.
2. Step-by-Step Instructions: Clear, methodical procedures ensure students can perform activities independently or under teacher guidance.
3. Observations and Recording: Dedicated sections for noting observations, plotting graphs, and drawing conclusions, inculcating scientific discipline.
4. Viva Voce & Practical Questions: Each chapter includes thought-provoking questions to prepare students for lab assessments and viva voce examinations.
5. Conceptual Clarity: The primary goal is to cement understanding, moving from verification of results to genuine comprehension of the 'why' behind mathematical principles.

Published by the trusted Vohra Publishing House, this manual upholds high standards of academic content and pedagogical effectiveness. Authored by Sushma Pandhi, it reflects deep insight into the learning challenges faced by senior secondary students. Ideal for school laboratories, self-study, and teacher-led demonstrations, Vohra Conceptual's Mathematics Lab Manual for Class 11th is more than a supplementary book; it is an indispensable tool for building a robust mathematical foundation, nurturing a scientific temperament, and achieving excellence in academic and competitive landscapes.

1. To find the number of subsets of a given set A and verify that if A has n elements, then the total number of subsets of A is 2n.
2. To represent set-theoretic operations using Venn diagrams.
3. To verify that for two sets A and B, n (A x B) = mn and the total number of relations from A to B is 2mn, where n (A) = m and n (B) = n.
4. To distinguish between a relation and a function
5. To verify the relation between the degree measure and the radian measure of an angle.
6. To find the values of sine and cosine functions in the second, third, and fourth quadrants using their given values in the first quadrant.
7. To prepare a model to illustrate the values of the sine function and cosine function for different angles that are multiples of π/2
8. To plot the graph of sin x, sin 2x, 2 sin x, and sin π/2 using the same coordinate axes.
9. To interpret geometrically the meaning of i = √1 and its integral powers.
10. To verify that the graph of a given inequality, say 3x + 4y < 12, of the form ax + by < c, where a, b, and c are greater than 0, represents one of the two half-planes.
11. To find the number of ways in which three cards can be selected from the given 5 cards.
12. To construct Pascal’s Triangle and to write binomial expansion for a given positive integral exponent.
13. To obtain the formula for the sum of squares of the first n natural numbers.
14. To demonstrate that the arithmetic mean of two different positive numbers is always greater than the geometric mean.
15. To establish the formula for the sum of cubes of the first n natural numbers.
16. To verify that the equation of a line passing through the point of intersection of two lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 is of the form (a1x + b1y + c1) + y(a2x + b2y + c2) = 0
17. To construct different types of conic sections.
18. To construct a parabola.
19. An alternative method of constructing a parabola.
20. To construct an ellipse when two fixed points are given.
21. To construct an ellipse with given major and minor axes.
22. To explain the concept of octants by three mutually perpendicular planes in space.
23. To find analytically whether lim f(x) exists or not, with the help of examples. X—> c
24. To verify the geometrical significance of the derivative (i.e., the derivative of a function at a point is equal to the slope of the tangent to its curve at that point).
25. To obtain truth values of compound statements of the type pvq by using switch connections in parallel.
26. To obtain truth values of compound statements of the type p^q by using switch connections in series.
27. To write the sample space when a coin is tossed once, two times, three times, or four times.

Have Doubts Regarding This Product ? Ask Your Question

  • Q1
    Is this lab manual strictly based on the latest CBSE Class 11 Mathematics syllabus?
    A1

    Yes, the manual is meticulously crafted to align with the latest CBSE curriculum and the spirit of NEP 2020, covering all prescribed practical topics.

  • Q2
    Does the manual include activities for the entire year, or is it chapter-specific?
    A2

    It is a comprehensive annual manual, containing 27 structured activities spanning all major units of the Class 11 syllabus, from Sets to Probability.

  • Q3
    How does this manual help in preparing for the CBSE Class 11 practical examinations?
    A3

    It provides a complete record of activities with clear steps, observation tables, and viva voce questions, serving as a ready reference for creating your practical file and preparing for the lab assessment.

  • Q4
    Are there instructions for constructing geometrical models like parabolas and ellipses?
    A4

    Absolutely. The manual provides multiple, detailed methods (like the pinpoint and string method) for constructing accurate models of conic sections, which are often part of project work.

  • Q5
    Does it explain the connection between logical operations in mathematics and real-world applications?
    A5

    Yes, it uniquely uses simple electrical circuits with switches to visually and physically demonstrate the truth values of compound statements (p^q, pvq), linking abstract logic to a tangible application.

  • Q6
    Are solutions or expected observations provided for the activities?
    A6

    The manual guides students through the process and provides a framework for recording observations. The focus is on self-verification, but the methodology leads to the standard theoretical result.

  • Q7
    Can this manual be used for self-study if my school does not have a dedicated math lab?
    A7

    Yes, most activities are written clearly enough for motivated students to perform at home with minimal guidance, making it an excellent tool for independent learning and exploration.

  • Q8
    Does it cover the graphical approach to understanding trigonometric functions and inequalities?
    A8

    Yes, there are specific activities dedicated to plotting graphs of sin x, sin 2x, etc., on the same axes for comparison and shading the solution region for linear inequalities.

  • Q9
    Are there activities to derive formulas, like the sum of squares of the first n natural numbers?
    A9

    Yes, the manual includes innovative activities that guide students through a step-by-step process to visually or algebraically arrive at and verify such important formulas.

  • Q10
    How does the manual help in understanding three-dimensional coordinate geometry?
    A10

    It includes an activity to explain the concept of octants using three mutually perpendicular planes (like a corner of a room), building a spatial understanding crucial for 3D geometry.

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Author name | 10 jan, 2025
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Classic Literature Reimagined: Discuss modern twists on classic novels.
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