### Mathematics Class 10 Lab Manual | 21 Lab Activities

Mathematics Lab Manual Class X   lab activities for class 10 with complete observation Tables strictly according to the CBSE syllabus also very useful & helpful for the students and teachers.

### Mathematics Lab Manual Class XI | 22 Activities

Mathematics Lab Manual Class XI

22 lab activities for class 11 with complete observation Tables strictly according to the CBSE syllabus also very useful & helpful for the students and teachers.

General instructions
• All these activities are strictly according to the CBSE syllabus.
• Students need to complete atleast 15 activity from the list of 22 activities.
• Students can make their own selection.

Method of writing the Activities:

While writing the activities on the notebook , students should write according to the following headings

 Plane Side of the page Side of the Page with lines Aim/Objective Material Required Diagrams or Activity Observations Result Aim/Objective Material Required Theory (If any) Procedure Result Applications (If any)

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# Mathematics Lab Manual Class - 11

Chapter-1 Set Theory

ObjectiveTo find the number of subsets of a given set and verify that if a set has n number of elements, then the total number of subsets is 2n

ObjectiveTo represent set theoretic operations using venn diagrams.

ObjectiveTo verify distributive law for three non-empty sets A, B and C, that is

A (B  C) = (AB)(A C)

Chapter-2 relations & functions

ObjectiveTo identify a relation and a function.

ObjectiveTo verify that for two sets A and B, n(A x B) = pq and the total number of relations from A to B is 2pq, where n(A) = p and n(B) = q

ObjectiveTo distinguish between a relation and  a function.

Chapter-3 trigonometry

ObjectiveTo verify the relation between the degree measure and the radian measure of an angle.

ObjectiveTo find the values of sine and cosine functions in second, third and fourth quadrant.

ObjectiveTo prepare a model to illustrate the values of sine and cosine functions for different angles which are multiples of  Ï€/2 and Ï€

Chapter-4 complex numbers

ObjectiveTo interpret geometrically the meaning of  $\large i=\sqrt{-1}$  and its integral powers

Chapter-5 linear inequalities

ObjectiveTo verify that the graph of a given inequality, say. 5x + 4y – 40 < 0  represent only one of the two half planes.

Chapter-6 permutations & combinations

ObjectiveTo find the number of ways in which three cards can be selected from given five cards.

Chapter-7 binomial theorem

ObjectiveTo construct a Pascal’s triangle and to write binomial expansion for a given positive integral exponent.

Chapter-8 sequence & series

Objective: To demonstrate that the Arithmetic mean of two different positive numbers is always greater than the Geometric mean

Chapter-9 straight lines

ObjectiveTo verify that the equation of a line passing through the point of intersection of two lines a1x + b1y + c= 0  and a2x + b2y + c= 0  is of the form  a1x + b1y + c= 0 + Î»( a2x + b2y + c= 0)

Chapter-10 conic sections

ObjectiveTo construct different type of conic sections.

ObjectiveTo constructing a parabola by using an alternative method.

ObjectiveTo construct an ellipse when two fixed points are given.

Chapter-11 three dimensional geometry

Objective: To explain the concept of octants by three mutually perpendicular planes in space.

Chapter-12 limits & derivatives

Objective: To find analytically  $\displaystyle\lim_{x\to c}f(x)=\frac{x^{2}-9}{x-3}$

Chapter-14 probability

Objective: To write the sample space, when a dice is rolled once, twice, thrice....

Objective: To write the sample space, when a coin is tossed once, two times, three times, four times ….. and so on.