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This year??? Results aren't out... But I'm sure he will

456!!!!! What is that guy???

You can also look at it bye drawing a phaser diagram.. Since the waves have the same angle and only differ in the trigonometric ratio(sin and cos), They can be depicted by two phasers of equal length on the argand plane which are at right angles two each other... So the resultant will simply be the diagonal of the square made by them
Which is root 2 a

Oops... :P Sorry
Forgot to do that..
Done that now... Cheers

3rd question is easy..
Let first term be a, last term be b, number of terms be n
Find common differences in terms of a, b and n
Then substitute the r th and n-r th terms in terms of these variables and you get the answer..

4th question
Consider the expression (1+2+3+4+....n)^2
This will have two kinds of terms,
Squares of individual terms and mixed terms.. The Sum of mixed terms is what you require...
i.e. 1.2 + 2.3

For (a+b+c)^2
it is a^2 +b^2 +c^2 + 2ab +2ac +2bc
Similarly for n terms
[n(n+1)/2]^2= _{[ 1]}

^{[ n]} r^2 + 2(product of terms taken two at a time)
Shift sides and you get the answer

Friend of mine was in bansal 2 years.. got abt 6000 rank, took a drop and joined Pace..
Go Figure..

Hello people,
I'm a dropper, and i had a rank last year as well. Comparing last year's paper and this one, here's a rough estimate that i've drawn up about this year's ranks...
Tell me what you think about it
http://choke-spot.blogspot.com/