With an outstretched arm,
a face , radiating the warm ,
rays of the sun , as they ,
danced on her face.
The emotions are given birth ,
anger , love , hatred and mirth .
As the beautiful enchantress ,
her soft hands , clinging to her frock ;
walks towards me , bare-foot ...
A cool breeze , heavy with her scent ,
intoxicates me , blinds me , burns me .
And yet , I stand rooted ,
for my past yearns for me ,
cries for me and lives for me .
For I am nothing without my past:
and my my past , nothing , without me !
I can see her walk ,
a spring in every step ,
a smile that forces you to smile ,
and glittering eyes , that
keeps you stunned.
And yet , I stand firm.
For I cannot let go ,
of that , which made me ,
what I am .
She reaches for me ,
her curly black hair , enticing me ,
and her scent , burning my interiors,
and then , she bends , parts her lips,
and whispers into my ear -
"The past is a burden and a treasure .
A burden to those who have nothing to learn.
A treasure to those who have nothing to loose.
Let it not tire you with its weight.
Let it not dazzle you with its brilliance."
And than , I could look her in the eye ,
as we streamed thoughts , through glances ;
I embraced her with utmost gentleness,
for she was so perfect, no pure ;
and her touch - inflamed the very soul of me.
...and , she was gone ,
But I , I had changed .
As i stand today, at a crossroad ,
A future beckons me,
a new life awaits me,
a new chance seeks me;
with the same enchanting smile on her face.
I embrace my future with utmost gentleness;
and a smile imprints itself on my face.
May it be a treasure ,
that surpasses the one that,
is etched in every vein that runs across me,
and every drop of blood that keeps me alive.
Thursday, July 30, 2009
Monday, May 11, 2009
Q10.
Q:::) (x-1)(x-2)(x-3)(x-4)=15
find no.of +ive solutions..
A:) simplyfy to get x4-10x3+35x2-50x+9=0 ---a
+ - + - + : 4 sign changes imply 4 real roots exist.
differentiate to get 4x3-30x2+70x-50=0 ----b
differentiate to get 12x2-60x+70=0 -----c
both roots of 'c' are positive...(obvious)..and f(0)>0
hence dy/dx =0 for 'b' at points say 'p','q' where both>0
and fb(0)<0> all 3 roots of (B) are positive... since for (b) f(inf)=inf & f(-inf)=-inf
coming bak to (a)...dy/dx=0 at 3 points ....and all are positive....further f(0)>0 and f(inf)=f(-inf)=inf.....hence all roots are positive...
thus answer should be 4 but no such option exixts..
find no.of +ive solutions..
A:) simplyfy to get x4-10x3+35x2-50x+9=0 ---a
+ - + - + : 4 sign changes imply 4 real roots exist.
differentiate to get 4x3-30x2+70x-50=0 ----b
differentiate to get 12x2-60x+70=0 -----c
both roots of 'c' are positive...(obvious)..and f(0)>0
hence dy/dx =0 for 'b' at points say 'p','q' where both>0
and fb(0)<0> all 3 roots of (B) are positive... since for (b) f(inf)=inf & f(-inf)=-inf
coming bak to (a)...dy/dx=0 at 3 points ....and all are positive....further f(0)>0 and f(inf)=f(-inf)=inf.....hence all roots are positive...
thus answer should be 4 but no such option exixts..
Thursday, May 7, 2009
An Ode to Opinion sheet
o thee opinion sheet,
given,when teachers deem fit.
for us,its a holy grail,
for it, we pale nd wail.
as days go by,
we wait to say them 'hi'.
some're waiting with a file,
hoping they would pile.
In delhi,this big city,
for them,there's no pity.
o teachers,i do sympathize,
but no, i can't empathize.
write you will, good-good things,
give,your imagination wings.
your opinion , may not change,
you've got a very small range.
but, just in case it does,
we'll have nothing much to fuss.
we'll not say 'woof--woof'
coz we'll have a good proof-proof....
given,when teachers deem fit.
for us,its a holy grail,
for it, we pale nd wail.
as days go by,
we wait to say them 'hi'.
some're waiting with a file,
hoping they would pile.
In delhi,this big city,
for them,there's no pity.
o teachers,i do sympathize,
but no, i can't empathize.
write you will, good-good things,
give,your imagination wings.
your opinion , may not change,
you've got a very small range.
but, just in case it does,
we'll have nothing much to fuss.
we'll not say 'woof--woof'
coz we'll have a good proof-proof....
Monday, May 4, 2009
4th may
life has become monotonous.....its under a spell of non-action and listlessness....there 's a kind of calm that has set into my life--the kind that usually spells out the onset of a tempest- a tempest so immensely powerful that it threatens to engulf your identity. Yet, giving up is the first sign of defeat..and so have i decided to wage on the battle and take on life with a new found curiosity and purpose. It has been tough with one blow after the other...as what i thought were my strongholds...crumpled like ninepins...and the cards that held my hope fell like dominoes..
to lose and not to concede defeat is the way of life. And today i do realise 1 thing for sure--to change the world is slightly less difficult than changing oneself...
to lose and not to concede defeat is the way of life. And today i do realise 1 thing for sure--to change the world is slightly less difficult than changing oneself...
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