Find angle theta? Very good math

 

Summation m=1 to n 2m+1/(m^2+m)^2 = 0.9999, find n

 

EXPONENT | X^Y - Y^X = 17 FIND X AND Y

 

If x is a positive number and x proportional to1/y then minimum value of x+y is

 

Answer: 2

x is proportional to 1/y. smallest value of (x+y) when

 

Pi is less than 22/7

 

Sorry On second line it should be 1+x^2 instead of  1-x^2

Verify x^3+y^3=(x+y)(x^2-xy+y^2)

 

The number of scalene triangles having all sides of integral length greater than 1 and perimeter less than 13 is?

 Let, A,B,C are three side of a triangle than 

Condition 1 -  A+B+C <  13

Condition 2 -  A,B,C > 1

Condition 3. Sum of the smaller side must be greater than the largest side => A+B > C

as Perimeter is less than 13 than longer side must be less than 13/2= 6.5

Why?

A+B > C

A+B+C > 2C 

C<(A+B+C)/2 < semi perimeter.

now, replacing A,B,C with (6-P), (6-Q), (6-R)

so, (6-P)+(6-Q)+(6-R) < 13

P+Q+R > 5

so solution is 

1. 2,2,2

2. 2,2,3

3. 3,2,4

4. 3,3,3

5. 3,3,4

6. 3,3,5

7. 4,3,4

8. 4,3,5

9. 4,4,2

10. 4,4,4

11. 5,2,4

12. 5,2,5

there are twelve triangle, 

Find the value of i^i

 

Square root of i  or root i value click here 

Sqrt(i) = what

Root i = ?

i^i = ? click here to know 

 

Hard Factorisation 2 How do you factorize x^2-xy-2y^2-x-4y-2

3=0 prove

ABCD is a Parallelogram in which AP bisector angle A and BQ bisect angle B. Prove that AQ=BP , PQ= CD. ABPQ is a parallelogram, SELINA class 9 math ex 14 C question 4

ABCD is a Parallelogram in which AP bisector angle A and BQ bisect angle B. 

Prove that (i)AQ=BP 

                  (ii) PQ= CD

                                              (iii) ABPQ is a parallelogram

SAME TYPE QUESTIONS

The Diagonal BD of a Parallelogram ABCD bisect angle B and D. Prove that ABCD is a Rhombus

Prove that Bisector of interior angle of a rectangle from a square.

In parallelogram ABCD, P is mid-point of AB. CP and BD intersect each other at point O. If area of POB = 40 cm^2, and OP : OC = 1:2, find: (i) Areas of BOC and PBC (ii) Areas of ABC and parallelogram ABCD.

What is Mathematics?

Mathematics is the science that deals with Quantity, Arrangement, Shape-Size, Logic.

Be Aware! Math is Everywhere! 

Math is all around us, in everything we do.

Math Starts at Greek

Study of Math within early civilizations was the building blocks of the math of the GREEKS, Who developed Math through Geometry.

Who Invent Mathematics? 

THALES - The First True Mathematician

The time of day when his own shadow was same height that he was he measure the shadow of the Pyramid to get the height. It’s the starting of mathematics. 

Definition of Mathematics:

ZERO MULTIPLE BY NOT DEFINE= -1 mathematically proved

First True Mathematician-- Thales

Thales ( 624-546 BC) was an ancient Philosopher lived in Ancient Greece now forms a part of Turkey.

Thales regarded as the First True Mathematician , because of the many important contributions made to the field of Mathematics, Especially in Geometry.

Thales used geometry to calculate the distance of a ship from the shore. He also figured out a way to measure the height of a Pyramids.

How to do MATH step by step | How can we solve mathematics problems technically?

IT'S STEP BY STEP PROCESS YOU SHOULD FOLLOW TO DO MATH:

ABOUT 90% OF STUDENT CONFUSED WHEN THEY DO MATH,  FOR THEM THIS ARTICLE IS BEST TO SOLVE THE MATH PROBLEMS. FOLLOW THIS STEPS--

STEP 1- READ:- READ THE PROBLEM

READ THE MATH PROBLEM CLEARLY AND TRY TO UNDERSTAND WHAT IS THE QUESTION TO BE ANSWERED?
REWRITE THE QUESTION IN YOUR OWN WORD.

STEP 2- THINK:- WHAT FACTS ARE GIVEN?

• LIST ALL FACTS.
• CIRCLE THE FACTS NEEDED TO SOLVE THE PROBLEM.
• THINK WHICH OPERATION NEEDS TO DO TO SOLVE THIS.
• CROSS OUT THE EXTRA INFORMATION.

STEP 3- SOLVE:- SOLVE THE PROBLEM

• AT FIRST DRAW A SKETCH IN YOUR MIND TO SOLVE THE PROBLEM.
• GUESS AND CHECK.
• CREATE TABLE.
• DRAW PICTURE.
• DRAW MODEL.
• LOOK FOR A PATTERN.
• CREATE AN ORGANIZED LIST.
• CREATE A PROPORTION.

STEP 4- JUSTIFY:- JUSTIFY THE ANSWER

• WHAT DID YOU DO
• WHY DID YOU DO IT?
• WRITE THE ANSWER IN COMPLETE SENTENCE.

Remember One thing–

The Only way to Learn Mathematics is to do Mathematics   — PAUL HALMOS

How to do Math Preparation

Math is very interesting Subject. If you unable to find interest on it, it means you have not tried to understand it. Try to understand Math and seems its easy, clear as water and 100% logical. There is Nothing to be assumed and nothing to be confused about. So, nothing to worry if you come forward with firm determination to learn mathematics. 

The most basic thing in Mathematics are 4 functions.

• Addition
• Subtraction
• Multiplication
• Division

All these four things are most useful. At least one of these things is certainly used in any type of mathematical questions. So, if we do our basic calculation faster and error less we save our valuable time in each question.

To calculate faster here the following tips:-

1. Remember the table at lease upto 20.
2. Learn One-line Addition, Subtraction, Multiplication, and Division.
3. Clear the Fundamental behind each chapter.
4. Use quick Formula and faster method but before that clear the concept behind this formula and then apply.
5. Try to do the same MATH in different method, and check the answer- remember if your math is correct all methods answer will be same. its the most attractive thing in case of MATHEMATICS.
6. Lastly More and More Example -  You are Suggested to go through as many examples as possible.

Remember One thing--

The Only way to Learn Mathematics is to do Mathematics   -- PAUL HALMOS

What is Mathematics?

ZERO TO THE POWER OF ZERO

HELLO FRIENDS!!!!!!

TODAY WE TRYING TO SOLVE A MATHEMATICAL PROBLEM RELATED TO ZERO.

WHATS IS THE VALUE OF ZERO TO THE POWER OF ZERO

Lets try--

let,

0ˆ0= x

now taking log base 10 in both side

log 0ˆ0= log x

or,   0 log 0= log x

or, 0 = log x

or, log x = 0

here the base of log is 10, therefore,

x= 10ˆ0     [ withdrawal log]

or, x= 1   [proved]

so friends here we get the mathematical value of zero to the power zero is equals to one.

IF YOU ENJOY THIS PLEASE SHARE, IF YOU HAVE ANY SUGGESTION AND QUESTION PLEASE WRITE ON THE COMMENT BOX.

THANK YOU

Factorial Zero 0!

HELLO FRIENDS!!!!

TODAY WE ARE TRYING TO GET THE VALUE OF FACTORIAL 0. 

O (ZERO) IS THE MOST CRITICAL NUMBER OF THE WORLD.

LETS START....

WE KNOW FACTORIAL n ( n! ) = n x (n-1) x (n-2) x (n-3) x .......x (n-(n-1))

n! =  n x (n-1) x (n-2) x (n-3) x .......x 1  --------------(a)

(n-1)!= (n-1) x (n-2) x (n-3) x .......x 1        ---------------(b)

as same- 5!= 5 x 4 x 3 x 2 x 1= 120

6!= 6 x 5 x 4 x 3 x 2 x 1= 720

4!= 4 x 3 x 2 x 1= 24

here we can get an equation by divide equation (a) and (b) that,

n! / (n-1)! = n

n! / n = (n-1)!

so, in the position of n put 1, we get,

1! / 1 = (1-1)!

(1-1)!= 1! / 1

or, 0!= 1/1      [ as 1!= 1]

or,  0!= 1

Wao, here we get the mathematical value of factorial zero is equals to one. wish you enjoy this.

IF YOU ENJOY THIS PLEASE SHARE, IF YOU HAVE ANY SUGGESTION AND QUESTION PLEASE WRITE ON THE COMMENT BOX

THANK YOU