Blog provides NCERT solutions, CBSE, NTSE, Olympiad study material, model test papers, important Questions and Answers asked in CBSE examinations. References to Educational Sites and resources.
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
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)
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,
πc = 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 |
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
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
*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
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.