Complex Numbers

Imaginary roots 

x^2 + 4 = 0

--> x ^ 2 = - 4 

--> x = √- 4

--> x = √4 * √- 1 

--> x = + 2 i or - 2 i where i = √ - 1 is called imaginary number which gave rise to an important branch of mathematics called Complex Numbers.....

Palindrome:-Example-7-10-2017

Please observe tomorrow's date 7-10-2017, as a  7102017,which is a "Palindrome".

It is an interesting sequence in Mathematics,which reads same forward as backward.

Cake made by me for my students who worked hard for Maths Competition on the occasion of Pi Approximation Day.

Pi -An irrational Number

Hey....You remember school mathematics???

Area of Circle = p r²    where  p =22/7 .
 Is it the true value of p ?
Actually it is the fraction whose value is very close to p which is equal to 3.14159.......................................
Now where does this end?Don't know. p is a very special number. Its decimal expansion has neither repeating pattern nor terminating decimal representation.
Thus, p is an irrational number and very special. So far scientists have discovered 10,000 digits after the decimal point for which a special computer is required to store such big number.
There are many applications of this special number p.
It is used in the construction of Pyramids.I have read somewhere that there is a shloka in Bhagvadgita, which on decoding gives the value of p upto 32 decimal places. This tells us how ancient is p andit was used in India long ago.
p has always fascinated me !!!
I hope you are also little bit motivated to discover more about p......

Factorization

     X³  -27=  (X-3) (X²+3X+9)

Two sets are called disjoint if they have no elements in common.

e. g. The set of even integers and the set of odd integers are disjoint sets as every integer is either odd or even but not both.  

Numbers

Square root of a number . . . 

Consider the equation 

x^2 -25=0, the solutions are 5&-5. Now consider ,  the equation x^2 +25=0. The solutions of this equation are square root of -25 which are not real numbers. As square root of a negative number is not real.  It is called as imaginary number. Square root of -1 is imaginary and is denoted by i .  The set of complex numbers is denoted by C and is of great importance in mathematics. 

Set of Natural Numbers :-

N = {1,2,3........}

आपणांस हे माहित आहे का ?

🔴1 ते 99 पर्यंत स्पेलिंग मध्ये a, b, c, d वापर होत नाही.

👉d चा वापर प्रथमच  ‘Hundred’ मध्ये होतो.

🔴1 ते 999 पर्यंत स्पेलिंगमध्ये कुठेही a, b, c चा वापर होत नाही.

👉a चा वापर प्रथमच ‘Thousand’ मध्ये होतो.

🔴1 ते 999,999,999 पर्यंत कुठेही  b, c चा वापर होत नाही.

👉b चा वापर प्रथमच ‘Billion’ मध्ये होतो.

🔴c चा वापर इंग्लिश काउंटिंगमध्ये कुठेही होत नाही.

🍀मनोरंजनातून गणिताची माहिती आपणांस आवडली असेल तर आपल्या मित्र परिवारासोबत शेअर करा...

तुम्ही आनंद घ्या.....

इतरांनाही आनंद द्या.....

Word Puzzles

man

1. ------------

board

Ans. =man overboard

Okay, let's see if you've got the hang of it.

stand

2. ------------

i

Ans. = I understand

OK . .Got the drift ?Let's try a few now and see how you fare ?

3. /r/e/a/d/i/n/g/

Ans. = reading between the lines

R

4. Road

A

D

Ans. = cross road

Not having a good day now, are you ?Redeem yourself.

5. cyclecyclecycle

Ans. = tricycle

Easy to figure out, ha!

0

6._________

M.D.Ph.D.

Ans. = two degrees below zero

C'mon give it a little thought ! !

knee

7. ------------

light

Ans. = neon light ( knee - on - light )

I'm sure you'll have no problem getting this one.

ground

8. ----- ----------

feet feet feet feet feet feet

Ans. = six feet underground

Good One, try this!!

9. he's / himself

Ans. = he's by himself

Here's an easy one!!

10. ecnalg

Ans. = backward glance

Not even close ?!!?

11. death ..... life

Ans. = life after death

Okay last chance .

12. THINK

Ans. = think big ! !

And the last one is very funny- - -

13. Ababaaabbbbaaaabbbbababaabbaaabbbb...

Ans. = long time no 'C'

Dedicated to all our intelligent lovely People !