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**class11-maths**. Show all posts

**class11-maths**. Show all posts

## Thursday, 22 December 2022

### National Mathematics Day #eduvictors

## Thursday, 28 July 2022

### Class 11 - Maths - Trigonometric Functions Notes, Solved Problems and NCERT Exercise 3.2 Solutions #eduvictors #class11Maths #Trigonometry

# Class 11 - Maths - Trigonometric Functions Notes, Solved Problems and NCERT Exercise 3.2 Solutions

**Q1. What are quadrantal angles?**

**Answer**: All angles which are integral multiples of π/2 are called quadrantal angles.

## Wednesday, 27 July 2022

## Monday, 27 June 2022

### Class 11 - Maths - Trigonometric Functions - Angle on Circular System + NCERT 3.1 Answers. (Part-1) #class11Maths #eduvictors #trigonometry

# Class 11 - Maths - Trigonometric Functions - Angle on Circular System + NCERT 3.1 Answers. (Part-1)

**trigonometry**" is obtained from the Greek words "trigon" and "metron." The field was initially created to address triangle-related geometric issues. The surveyors who mapped out the new territories, the engineers, and other people studied it for navigation. Currently, numerous fields, including the science of seismology, the design of electrical circuits, the description of the condition of an atom, forecasting ocean tide heights, analysing musical tones, and many other things.

**You should remember **

1. In the sexagesimal system, we measure angles in degrees, minutes and seconds.

1 right angle = 90°

1° = 60′ (minute) and

1′ = 60′′ (second)

2. In the circular measure, we measure angles in radians.

Thus,

π^{c} = 180°

## Friday, 25 March 2022

### Methods of Differentiation - CBSE Class 11 - Mathematics - Limits and Derivatives Part-11 #class11Maths #limits #calculus #differentiation #eduvictors

# Methods of Differentiation

**CBSE Class 11 - Mathematics - Limits and Derivatives Part-11**

**Working rule for finding the derivative of implicit functions**

**First method:**

Differentiate every term of f (x, y) = 0 with respect to x.

## Tuesday, 15 February 2022

### DIFFERENTIATION OF STANDARD FUNCTIONS- CBSE Class 11 - Mathematics - Limits and Derivatives Part-10 #class11Maths #limits #calculus #differentiation #eduvictors

# DIFFERENTIATION OF STANDARD FUNCTIONS

CBSE Class 11 - Mathematics - Limits and Derivatives Part-10

You have learnt theorems of differentiation part-9. Let us proceed further. Here is a list of differentiation of some standard functions:

## Sunday, 6 February 2022

### THEOREMS ON DIFFERENTIATION - CBSE Class 11 - Mathematics - Limits and Derivatives Part-9 #class11Maths #limits #calculus #differentiation #eduvictors

# THEOREMS ON DIFFERENTIATION

CBSE Class 11 - Mathematics - Limits and Derivatives Part-9

You have learnt about finding derivatives using the first principle in part-7 and part-8. Let us proceed further. Here is a summary of theorems on differentiation.

## Sunday, 30 January 2022

### CBSE Class 11 - Mathematics - Limits and Derivatives Part-8 Differential CoEfficient and Derivatives Using First Principle #class11Maths #limits #calculus #differentiation #eduvictors

# CBSE Class 11 - Mathematics - Limits and Derivatives Part-8

Differentiation |

**Differential coefficient:**Let y = f (x) be a continuous function of a variable quantity x, where x is independent and y. is a dependent variable quantity.

## Wednesday, 12 January 2022

### CBSE Class 11 - Mathematics - Limits and Derivatives (Part-7) Derivatives Using First Principle #class11Maths #limits #calculus #differentiation #eduvictors

# CBSE Class 11 - Mathematics - Limits and Derivatives Part-7

**Derivatives Using First Principle**

**Theorem 1**: From the first principle, we have

## Friday, 31 December 2021

### CBSE Class 11 - Mathematics - Limits and Derivatives (Part-6) - Derivative of a Function At a Point #limits #class11Maths #calculus #eduvictors

# Class 11 - Mathematics - Limits and Derivatives (Part-6) - Derivative of a Function At a Point

**Q1: What is the derivative of a function at a point?**

Answer: Let y = f(x) is a continuous function. It means the value of y changes as the value of x changes.

At x = a, is a point in its domain of definittion. The derivative of f at a is defines as:

## Saturday, 25 December 2021

### Class 11 and 12 Maths - Probability - Part 1 (Solved Questions) #probability #class11Maths #class12Maths #cbse202122 #eduvictors

# Class 11 & 12 Maths - Probability - Part 1 (Solved Questions)

Let us revisit the basic terminology used in probability.

**Q1: Define probability. What can the probability never predict?**

Answer: Probability gives us a measure of the likelihood that something will happen. However, probability can never predict the number of times that an occurrence actually happens.

**Q2: Define experiment.**

Answer: An action or operation resulting in two or more well-defined outcomes.

e.g. tossing a coin, throwing a die, drawing a card from a pack of well-shuffled playing cards etc.

## Wednesday, 22 December 2021

### National Mathematics Day #mathematics #eduvictors

# National Mathematics Day

**December 22**every year. The day marks the birth anniversary of famous mathematician Srinivasa Ramanujan.

*Typo in the graphic new = knew

## Sunday, 19 December 2021

### CBSE Class 11 - Mathematics - Limits and Derivatives Part-5 #class11Maths #eduvictors #limits #calculus

# CBSE Class 11 - Mathematics - Limits and Derivatives Part-5

## Wednesday, 1 December 2021

### CBSE Class 11 - Mathematics - Limits and Derivatives Part-4- Limits of Trigonometric Functions #class11Maths #eduvictors #limits

# CBSE Class 11 - Mathematics - Limits and Derivatives Part-4- Limits of Trigonometric Functions

**Theorem 1**: Let f(x) and g(x) be two real valued functions with same domain such that f(x) ≤ g(x) for all x.

**Theorem 2**: Sandwich Theorem or Squeeze Theorem

## Sunday, 14 November 2021

### CBSE Class 11 - Mathematics - Limits and Derivatives (Part-3) Questions and Answers #class11Maths #Limits #eduvictors

# CBSE Class 11 - Mathematics - Limits and Derivatives

**Part-3 Algebra of Limits **

In the previous post Limits and derivatives Part-2, we get basic ideas of the algebra of limits and also learned about rules and properties of limits.

Let us try to solve few problems:

**Q1**: Evaluate the given limit $\lim_{r\rightarrow 1} \pi r^2$

**Answer**: $\lim_{r\rightarrow 1} \pi r^2 = \pi(1)^2 = \pi$

## Wednesday, 10 November 2021

### CBSE Class 11 - Mathematics - Limits and Derivatives (Part-2) Questions and Answers #class11Maths #Limits #eduvictors

# CBSE Class 11 - Mathematics - Limits and Derivatives (Part-2)

**Questions and Answers **#class11Maths #Limits

In the previous blog post Limits and derivatives Part-1 , we learn

$\lim_{x\rightarrow a} f(x) = l$ and it is called **limit of the function f(x)**

① The two ways x could approach a number an either from left or from right, i.e., all the values of x near a could be less than a or could be greater than a.

② In this case the right and left hand limits are different, and hence we say that the limit of f(x) as x tends to zero does not exist (even though the function is defined at 0).

## Saturday, 6 November 2021

### CBSE Class 11 - Mathematics - Limits and Derivatives (Part-1) Questions and Answers #class11Maths #Limits #eduvictors

# CBSE Class 11 - Mathematics - Limits and Derivatives

**Part-1 - Questions and Answers**

**Q1: Define Calculus.**

Answer: Calculus is that branch of mathematics that mainly deals with the study of change in the value of a function as the points in the domain change.

👉Note: The chapter "Limits and Derivatives" is an introduction to Calculus.

👉Calculus is a Latin word meaning ‘pebble’. Ancient Romans used stones for counting.

**Q2: Who are called pioneers of Calculus (who invented Calculus)?**

Answer: Issac Newton (1642 - 1727) and G. W. Leibnitz(1646 - 1717).

Both of them were invented independently around the 17th century.

**Q3: What is the meaning of 'x tends to a' or x → a?**

Answer: When x tends to a (x → a), x is nearly close to a but never equals to a.

e.g. x → 3 means the value of x maybe 2.99 or 2.999 or 2.999...9 is very close to 3 but not exactly equal to 3. Similarly, x may be 3.01, 3.001, 3.0001... from the right side and gets closer to 3.

## Friday, 8 October 2021

### CBSE Class 11 Maths Term 1 MCQs For Practice (#class11Maths)(#cbse2021)(#term1mcqs)(#eduvictors)

# CBSE Class 11 Maths Term 1 MCQs For Practice

**No. of Questions**: 15

**Time**: 30 minutes

**Chapters**: Sets, Relations and Functions, Complex Numbers, Sequence and Series, Straight Lines, Limits and Statistics

**Q1**: The set {1, 2, 3, ...} is _______ set. Fill in the blank.

(a) null

(b) finite

(c) infinite

(d) singleton

## Sunday, 15 August 2021

### Class 11 - Maths - Complex Numbers - Solved Problems - Part 1 (#class11Maths)(#eduvictors)(#cbsenotes)

# Class 11 - Maths - Complex Numbers - Solved Problems - Part 1

**Q1: What are imaginary numbers?**

Answer: If the square of a given number is negative then such a number is called an imaginary number.

**Q2: Name the mathematician who was the first to introduce the symbol i (iota) for square root of -1.**

Answer: Euler.

**Q3: Evaluate i⁹ + i¹⁹**

## Tuesday, 6 July 2021

### CBSE Class 11 Maths - Relations - Domain, Range and Co-Domain (#class11Maths)(#eduvictors)(#cbse2021)

# CBSE Class 11 Maths - Relations - Domain, Range and Co-Domain

**RELATION **

Let A and B be two nonempty sets. Then, a relation R from A to B is a subset of (A × B).

Thus, R is a relation from A to B ⇔ R ⊆ (A × B).

If (a, b) ∈ R then we say that ‘a is related to b‘ and we write, a R b.

If (a, b) ∉ R then ‘a is not related to b‘ and we write, $a \not \mathrel{R} b$.

**Q1: Let A = {-1, 2, 4} and B = {1, 3}. Show A × B as arrow diagram.**