Quant Last Minute Revision CAT 2011

Hi Puys, Lets create a repository of formulas/shorcuts. :: Let me inaugurate with this blessing related to Time,Speed and Distance When objects are starting simultaneously from a point on a circular track with speeds being ‘n’ tim…

Hi Puys,
Lets create a repository of formulas/shorcuts.


Let me inaugurate with this blessing related to Time,Speed and Distance

When objects are starting simultaneously from a point on a circular track with speeds being 'n' times that of the first object :

speed of object 1 = x
object 2=2x
object 3= 3x....and so on

then they meet at exactly m-1 points at intervals of 1/(m-1) *total distance

Happy meal from Numbers:

when (x^m) *(y^n) is constant,the minimum value of ax+by is realized when

(ax/m)=(by/n)

Whereas,

when ax+by is constant the maximum value of (x^m) *(y^n) is realized when (ax/m)=(by/n)

Some of the basic ones,easily forgotten,
Distance between 2 parallel lines ax+by+c1=0
and ax+by+c2=0
is c1-c2/sqrt(a^2 +b^2)