- Class-12 Math Lab Activity
- 1. To demonstrate a function which is not one-one but is onto.
- 2. To explore the principal value of the function sin^-1x using a unit circle.
- 3. To understand the concepts of decreasing and increasing functions.
- 4. To understand the concepts of local maxima, local minima and point of inflection.
- 5. To construct an open box of maximum volume from a given rectangular sheet by cutting equal squares from each corner.
- 6. To verify geometrically that c×(a +b)=c×a +c×b
- 7. To demonstrate the equation of a plane in normal form.
- 8. To measure the shortest distance between two skew lines and verify it analytically.
- 9. To 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.

# Class-12 Math Lab Activity

- Author:
- PRAVEEN KUMAR SAHU

Math Lab Activity 12 CBSE, Prepared By Praveen Sir.

## Table of Contents

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

### 2. To explore the principal value of the function sin^-1x using a unit circle.

### 3. To understand the concepts of decreasing and increasing functions.

### 4. To understand the concepts of local maxima, local minima and point of inflection.

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

### 6. To verify geometrically that c×(a +b)=c×a +c×b

### 7. To demonstrate the equation of a plane in normal form.

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

### 9. To 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.