### Happy Birthday to Srinivasa Ramanujan

Today
is the 130

^{th}birth anniversary of great Indian Mathematician Srinivasa Ramanujan and so is National Mathematics Day.
Srinivasa
Ramanujan was born on 22 December 1887 in Erode, Tamil Nadu. He is a man known
for his work done in the field of mathematics. And that too with no formal
training of that subject which others are getting in European countries. Ramanujan developed his own mathematical
research in isolation. Some extraordinary contribution done by him in the field
of mathematics are – mathematical analysis, number theory, infinite series, and
continued fractions. Along with this, the legend has provided many theorems.

He
was enrolled into Telegu School, but found it too tiring and uninteresting to
attend school and mostly he use to ran away from there. Later in 1904, he
graduated from Town Higher Secondary School. He also received a scholarship to
study at Government Arts College in Kumbakonam. During his studies he was so
influenced by studying mathematics that he could not focus on any other subject
and failed in all of them. This resulted him in losing the scholarship. Later,
without any degree, he left the college and continued to pursue independent
research in mathematics.

His
unconditional love for mathematics was driving him to develop new things for
that subject, but to support his livelihood he was working as a clerk in the
Accountant-General's office at the Madras Port Trust Office. He kept working on
inventing new mathematical theorems and continuously tried contacting the
experts from west. G.H. Hardy, an academician at the University
of Cambridge, recognized the brilliant work produced by Ramanujan and invited
him to visit and work with him at Cambridge. Here, Ramanujan became a Fellow of
the Royal Society and a Fellow of Trinity College, Cambridge.

Some
of the known works, produced by this great mind, are - Landau–Ramanujan
constant, Mock theta functions, Ramanujan conjecture, Ramanujan prime,
Ramanujan theta function, Ramanujan's sum, Rogers–Ramanujan identities and
Ramanujan's master theorem.

Ramanujan
died on 26th April, 1920, when he was only 32 years of age. In this short life
he gave around 3900 results, mostly equations and identities and almost all of
them prove to be correct and original.

G. H. Hardy liked to rank
mathematicians on a scale of 1 to 100, and he gave himself 25, Littlewood 30,
David Hilbert 80, and Ramanujan 100, which shows just how great Ramanujan was.

The Indian mathematical genius
Srinivasa Ramanujan was born on 22 December 1887. It was
in recognition of his contribution to mathematics the Government of India decided to celebrate Ramanujan's
birthday as the National Mathematics Day every year and to celebrate 2012 as
the National Mathematical Year.

Please check the following

**Album**having more information about him.### Seventh Intra School Mathematics Olympiad - RESULT

Dear Reader,

The Seventh Intra School Mathematics Olympiad was held on 22 November 2016.

Hopefully, it was a great learning experience for all. It surely provided an extended platform for all the participating students and it is wished that it is utilized to its fullest.

Here are many young Ramanujan’s and Shakuntala Devi’s in our school who had performed very well in the exam.

Check out the result here:

Congratulations to all the rank and merit holders for their brilliant performance in the Olympiad.

You may again like to see

**the question papers and their solutions.**### Seventh Intra School Mathematics Olympiad - Solution Key

Dear Readers,

Mathematics, often called as language of nature has become an integral part of everyone’s life. In today's highly competitive world, one has to bear a lot of mental stress and also have to get involved in so many things in order to acquire knowledge. This is where co-scholastic activities play a very significant role. They provide the much needed exposure for a student.

CRPF Public School has fulfilled its motto of striving towards excellence by organizing and successfully completing its Seventh Intra School Mathematics Olympiad on 22 November 2016. Around 300 students enthusiastically participated in the Olympiad held in school premises.

Such Olympiads and events provide a great and extended platform for the students to nurture and showcase their ability and talent. It was a towering learning experience for the students of the school from classes IV to XII. To encourage students, merit certificates will be given to those scoring at least 60% along with the normal prizes for the top scorers.

We hope that all the participating students must have done well in the exam. To access your performance, check out the solution keys of the question papers below:-

**Question papers:-**

**Solutions keys:-**

The result would be declared on 30 November 2016 and would be available here on the blog.

Wishing you all the best!!!

Amit Sir

### CLASS XI MATHEMATICS ASSIGNMENT

Dear Readers,

I am providing class XI assignments prepared by me. Hope it will benefit the students.

class XI Assignments

Amit Bajaj

I am providing class XI assignments prepared by me. Hope it will benefit the students.

class XI Assignments

Amit Bajaj

### Worth Reading: MESSAGE BY SHIV KHERA TO YOUNG GENERATION

__MESSAGE BY SHIV KHERA TO YOUNG GENERATION__**1. Take pride in performance**

People who take
pride in their performance hold themselves accountable to much higher standards
than others do.

They always
strive to do the right thing, first time every time.

To them, good is
not good enough.

**2. Get involved**

Remember, 'If we
are not part of the solution then we are the problem'.

There are people
who have a habit of constantly criticising anything and everything no matter
where they are.

They only want
to criticise without taking any corrective measures.

However, if you
don't want to get involved then you have no right to criticise.

Either get
involved or shut up.

**3. Always put in extra efforts**

If you read
through the life history of the most successful people, you will find they have
all lived by one principle and that is, "I shall always give more than
what I get, to my family, my organisation, my customers and my society".

Winners always
put in extra effort even when it hurts.

Nobody has
become a champion in this world without putting in the extra effort. It is the
extra that turns the ordinary into extra ordinary.

This principle
applies to any profession; Medicine, Law, Accountancy, Architecture etc.

Would you want
to go to an ordinary Surgeon or to an extra ordinary Surgeon?

**4. Take a stand**

If you look at
the life histories of most great leaders, you will find that they were never
neutral.

They always took
a stand either for something or against something.

They had
conviction.

There is a big
difference between a preference and a conviction in life.

Preferences are
negotiable, convictions are not.

Under pressure,
a preference becomes weak whereas a conviction becomes stronger.

**5. Be focused**

Studies show
that less than 5 per cent people have written goals.

This means that
they are the only ones who have a very clear destination.

The balance 95
per cent work for them directly or indirectly.

Think about it
-- how can you reach a destination that you don't have?

Suppose you go
to watch a football game where both teams are enthusiastically charged up ready
to play.

Suppose at this
point the referee took the goal post away, what is left of the game? Nothing!

They have no
goal post, how do you keep the score?

Destination
determines direction.

**6. Choose your friends carefully**

Sometimes you
hear that the leader is good, but his advisors are bad.

This statement
is not true.

You will find
that all over the world, by and large, leaders always choose their own
advisors.

Remember we do
not get advisors in life of the kind of people we want, we get the kind of
people we are.

We don't get
friends of the kind of people we want, we get the kind of people we are.

We get attracted
to the kind of people who are similar to the kind of people we ourselves are.

Where you will
be five years from now shall depend on two things: the books you read and the
company you keep.

Today where we
are is also the result of the books we read and the company we kept in the last
five years.

**7. Build high self esteem**

Self esteem is
defined as the way we feel about ourselves.

You notice that
one day we get up in the morning feeling good, the world looks nice,
productivity goes up, relationships are a lot better.

The reverse is
just as true.

Self esteem is
inversely related to egos.

There are two
kinds of egos that are destructive.

'The know it
all': people with this kind of ego demonstrate arrogance.

They put down
and look down upon others.

Think about it,
why does a human being put down other human being?

It is sadistic
but true, there are some people who feel good when the other person feels bad.

They feel
superior when the other person feels inferior which means they don't want to
lift themselves up, but they want to pull others down.

The second kind
of ego is called the fragile ego, they take anything you say personally and get
hurt.

What do both
these egos do to team work?

They just
destroy it.

**8. Build character**

Character is
something that a person would or would not do even if no one is watching.

It is integrity
and authenticity in its true form.

There is a big
difference between reputation and character.

Reputation is
what other people think about us whereas character is what we know who we are
and they can be two totally different things.

Some people are
honest because they don't want to get caught telling lies.

They are doing
the right things for the wrong reasons.

They are only
building a reputation.

Some people are
honest because they believe it's the right thing to do.

They are doing
the right thing for the right reason. That is character.

**9. Live purposefully**

What is a
purpose?

A lifetime goal
is called a purpose.

How do you
define your purpose?

Supposing you
are aged 100 today and you were to look back at your life, what is it that you
want to say, is your accomplishment?

That
accomplishment is your purpose.

Have a lofty
purpose in life.

Only a lofty
purpose has the power to move the spirit.

Shoot for the
moon, even if you miss, you will become a part of the stars.

A great
philosopher once said, "I would rather fail in doing something great then
succeed in doing nothing".

There is glory
in such failure too.

**10. Start your day on a positive note**

Why should we
start our day on a positive note every day?

It is because
just as our bodies need food every day, our minds need positive thoughts every
day.

Starting the day
on a positive note sets the tone for the entire day.

Staying positive
is like fire; unless we keep adding fuel, it dies out.

Similarly if we
don't feed our minds with positive thoughts, everyday, positivity dies out.

Many times you
hear that success is tough.

My answer is:
Try failing and see if that is easy!

**11. Make courtesy a way of life**

A courteous
person who is not very sharp will go much further in life than a sharp,
discourteous person.

Courtesy is made
up of little sacrifices in life.

Every courtesy
has a moral background.

When people
practice courtesy as a strategy, they are crooked; they have ulterior motives.

For people with
integrity, courtesy is a way of life.

### Education Meet by Times of India

Dear All,

Today I attended an education meet organised by Times of India Group. It was a great learning experience to listen to various speakers from diverse fields.

I also had an opportunity to meet (and take a selfie) Mr. Shiv Khera, famous motivational speaker and author of the book "You can win".

### ASSIGNMENTS -MATHEMATICS - CLASS XII

Dear Readers,

I am providing all the assignments prepared by me for class XII Mathematics. The chapter wise assignments contains questions from past 10 years CBSE Mathematics papers from different regions, most important questions from NCERT exemplar book and other resources. It also contains MCQ questions with answers.

I am certain if a student along with NCERT textbook do all the questions from the assignment, he/she will be well prepare for the examination.

BASED ON BOOK - 1 (NCERT)

CH1 RELATIONS AND FUNCTIONS

CH 2 INVERSE TRIGONOMETRY

CH 3 MATRICES

CH 4 DETERMINANTS

CH 5 CONT. AND DIFFERENTIABILITY

CH 5 DIFFERENTIATION

CH 6 APPLICATION OF DERIVATIVES

BASED ON BOOK - 2 (NCERT)

CH 7 INDEFINITE INTEGRAL

CH 7 DEFINITE INTEGRAL

CH 8 APPLICATION OF INTEGRALS

CH 9 DIFFERENTIAL EQUATIONS

CH 10 VECTOR ALGEBRA

CH 11 THREE DIMENTIONAL GEOMETRY

CH 12 LINEAR PROGRAMMING

CH 13 PROBABILITY

Good luck for the examination!

Amit Sir

### Pi Approximation Day

Dear Readers,

Do you know what’s special about today, 22 July?

Well, today is Pi Approximation Day.

Do you know what’s special about today, 22 July?

Well, today is Pi Approximation Day.

Pi Approximation Day celebrates the mathematical constant Ï€ (pi). It is observed on July 22, due to Ï€ being roughly equal to 22/7.

The fractional approximation of Ï€ ,

^{22}⁄_{7}, resembles the date July 22 in the*day/month*format, where it is written 22/7. Pi Approximation Day is therefore celebrated on July 22.
In geometry, pi is defined as the ratio of a circle's circumference to its diameter. July 22, often written as 22/7, is an appropriate day to explore pi, since 22 divided by 7 is an approximation of pi.

Pi Approximation Day is celebrated in a number of ways, including contests to memorize pi to the most decimal places, solving math problems involving pi, discovering the history of pi, ruminating on how life would be different without pi and—of course—eating pie.

At my school, a competition 'Math's Wizard' was held today for classes VI - XII. It was a 30 minute one word answer test. Here are the question papers of different classes:

XII CLASS

At my school, a competition 'Math's Wizard' was held today for classes VI - XII. It was a 30 minute one word answer test. Here are the question papers of different classes:

XII CLASS

So, enjoy this mathematical day ...

Amit Sir

### XII CLASS PRE-BOARD - II JAN 2016 MATHEMATICS PAPER SOLUTION KEY

Dear class XII Students,

Hope this time all of you must have performed well
in the exam.

I am providing you with the question paper and the
solution key.

Here is the Sample Paper released by CBSE for 2016
exam.

Link for most important questions:

Click here for the sample papers of the other
subjects.

You may also check my Previous Posts where reference
material, assignments, book by DOE (govt. Schools) etc.

All the best for your board examination.

Amit Sir

### XII CLASS MATHS MOST IMPORTANT QUESTIONS

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