### 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 XII

14 lab activities for class 12 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 12 activity from the list of 14 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/ObjectiveMaterial RequiredDiagrams or ActivityObservationsResult Aim/Objective Material Required Theory (If any) Procedure Result Applications (If any)

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# Mathematics Lab Manual Class - 12

Chapter-1

Relations & Functions

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

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

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

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

Chapter-2

Relations & Functions

ObjectiveTo draw the graph of sin-1x, using the graph of sinx and demonstrate the concept of mirror reflection (about the line y = x)

Chapter-6 applications of derivatives

ObjectiveTo understand the concepts of decreasing and increasing functions.

ObjectiveTo understand the concept of local maxima, local minima and point of inflection.

ObjectiveTo understand the concept of absolute maximum and minimum values of a function in a given closed interval through its graph.

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

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

ObjectiveTo verify that amongst all the rectangles of the same perimeter, the square has the maximum area.

Chapter-10 Vector Algebra

ObjectiveTo verify geometrically that :  $\vec{c}\times(\vec{a}\times\vec{b})=\vec{c}\times\vec{a}+\vec{c}\times\vec{b}$

Chapter-11 Three Dimensional Geometry

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

Chapter-13 Probability

ObjectiveTo explain the computation of conditional probability of a given event A, when event B has already occurred, through an example of throwing a pair of dice.

THANKS FOR YOUR VISIT