[gnkumar_guru]

Very concise and most apt Gaurav. Excellent stuff here.

BTW guys there is one word for "Very concise and most apt".
I have a nagging feeling I know it but cant really place it



GG

[gkathotia]

Today's Section:
----------------
08/10/2002
----------------

(1) If for two numbers x+y=k(=constant), then their PRODUCT is MAXIMUM if
x=y(=k/2). The maximum product is then (k^2)/4 .

(2) If for two numbers x*y=k(=constant), then their SUM is MINIMUM if
x=y(=root(k)). The minimum sum is then 2*root(k) .

(3) |x| + |y| >= |x+y| (|| stands for absolute value or modulus )
(Useful in solving some inequations)

(4) Product of any two numbers = Product of their HCF and LCM .
Hence product of two numbers = LCM of the numbers if they are prime to each other .

Cheers
Gaurav

[gkathotia]

BTW guys there is one word for "Very concise and most apt".
I have a nagging feeling I know it but cant really place it

Is it 'terse' or 'succinct' or 'apposite'?
Gaurav

[gkathotia]

-----------------
09/10/2002
-----------------

(1) For any regular polygon , the sum of the exterior angles is equal to 360 degrees
hence measure of any external angle is equal to 360/n. ( where n is the number of sides)

(2) If any parallelogram can be inscribed in a circle , it must be a rectangle.

(3) If a trapezium can be inscribed in a circle it must be an isosceles trapezium (i:e oblique sies equal).

(4) For an isosceles trapezium , sum of a pair of opposite sides is equal in length to the sum of the other pair of opposite sides .(i:e AB+CD = AD+BC , taken in order) .

(5) Area of a regular hexagon : root(3)*3/2*(side)*(side)

That's it for today folks
Bye and regards
Gaurav

[ravi]

It is "Apposite". Apposite means vey apt. dunno if it implies being concise.
ravi

[gkathotia]

Hiya folks
---------------------------------------------------------
12/10/2002 Some inequalities and miscellaneous
---------------------------------------------------------

(1) For any 2 numbers a>b

a>AM>GM>HM>b (where AM, GM ,HM stand for arithmetic, geometric , harmonic menasa respectively)

(2) (GM)^2 = AM * HM

(3) For three positive numbers a, b ,c

(a+b+c) * (1/a+1/b+1/c)>=9

(4) For any positive integer n

2<= (1+1/n)^n <=3

(5) a^2+b^2+c^2 >= ab+bc+ca
If a=b=c , then the equality holds in the above.

(6) a^4+b^4+c^4+d^4 >=4abcd

(7) (n!)^2 > n^n (! for factorial)

Will continue inequalities in the next thread ,
Bye then
Gaurav

[catathon]

Gaurav ji,
whenz our daily update on quant comin' next ??

we're still waiting fer ur "back from the basics" number..

catathon

[pagalguy]

we're still waiting fer ur "back from the basics" number

I too am waiting Where are you pal !? Hum logon ko bhool gaye ?

[catathon]

I too am waiting Where are you pal !? Hum logon ko bhool gaye ?

cum soon,Gaurav bhai..pagal calling out :!:

catathon

[gkathotia]

Hi Friends, Indians , and Catizens
Sorry to keep you all in suspense as to what had happened to me. Well i was on a
vacation with my parents to a hill station with unfortunately no internet access.Right now
i am glad to be with you all after a well deserved rest and planning to peak up at the right moment.
Will be back with my concepts class adn other details tomorrow. cause i am very tired today....
even SIMCAT 5 was a hellish experience with an attempt of 95 but a score of only 50 . I will have to get going again. Shows what lack of practice can do to you.
Chiaao till then
Gaurav