Gud area...lets see whether u can calculate it

1)FInd area bounded by mod(y)=e-mod(x) with [mod(x)+mod(y)]/2 + [mod(x)-mod(y)]/2 ≤2

2)Find area of region at point P satisfying maximum{PA+PB,PB+PC}<2 where A=(1/2 ,0) ,B=(3/2 , 0) ,C=(5/2 , 0)

68 Answers

21
tapanmast Vora ·

zara yahan par bhi apne pavan per dalo SIRji

62
Lokesh Verma ·

tapan it wont be tough.. just try thoda sa.. ;)

62
Lokesh Verma ·

yes tapan.. i din check the nittigritties.. but this is what i was saying :)

21
tapanmast Vora ·

x>5/2 & x<1/2 shudnt b that tuff

21
tapanmast Vora ·

Sir, Pl. c my post # 9,10,11

I hav jus considered I case 1< x < 2

Can u chk my workin for dat case as in abov mentioned post nos.

62
Lokesh Verma ·

2)Find area of region at point P satisfying maximum{PA+PB,PB+PC}<2 where A=(1/2 ,0) ,B=(3/2 , 0) ,C=(5/2 , 0)

arrey 2nd is the more easier one!!!

I thought you were asking about 1
that is why i was lazying in answering this one...

P=(x,y)
take cases..

x<1/2

1/2<x<3/2

3/2<x<5/2

x>5/2

in each case, it will boil down to

PA+PB<2 or PB+PC<2

which are ellipses!

I think you can take it from this hint

I cant think of a muchsimper/ shorter method.

21
tapanmast Vora ·

BTW yah hamara Q1 match ho raha hai......

Same as POST #34

21
tapanmast Vora ·

SIR, u chkd the wrong questn........

QUE1 is pretty easy......

I wanted to know abt QUE2

62
Lokesh Verma ·

this is same as the area between |y|=e-|x| and |x|<=2

This is 4 times \int_{0}^{2}{e^{-x}dx}

\int_{0}^{2}{e^{-x}dx}\\ = 1-e^{-2}

check ifthere is any mistake

21
tapanmast Vora ·

So shall I consider my ans in post #10 and corresponding workin in #10 as
correct (as a snippet only coz I gotta add more cases)

24
eureka123 ·

okzz...........but i never forget to mention that GINT thing whenver i post my questions.......HEre it didnt represent so I didnt wrote........

Sorry Tapan if ur time was wasted.......

11
Mani Pal Singh ·

but bhargav misguided us
now lets do 1st ques

24
eureka123 ·

it wasnt confusing............whenever [] represent GINT it is always mentioned................

11
Mani Pal Singh ·

but manu please take care to use symbols that r not confusing!!!!!!!!!1

24
eureka123 ·

u should have asked me tapan........before doing this......

21
tapanmast Vora ·

arre but then mathematician told me it representeed GIF to mene 1/2 hour barbad kar diya iske pichhe........ [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17][17] [17]17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17][17] [17]17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17][17] [17]17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17][17] [17]17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17][17] [17]17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17][17] [17]17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17][17] [17]17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17] [17][17] [17]

21
tapanmast Vora ·

arre mani chhod ye sab.

IN THE QUESTIONN [.] represents simple paranthesis, nothin else.... then the que bcums very easy....

33
Abhishek Priyam ·

this should be the answer..

21
tapanmast Vora ·

OH K!!!

No probs Sir, koi baat nahi!! [1]

33
Abhishek Priyam ·

Image link...

http://www.artofproblemsolving.com/Forum/images/smiles/rotfl.gif

just use [ im ]

21
tapanmast Vora ·

LOLzzz

BTW ye Smiley kaha se aaya??

wat no.?

62
Lokesh Verma ·

@tapan.. bhai I dont know the final answer..

so i din want to pink it..

but i have had that feeling right from the beginning ki it must be correct..

only that i din have enuf in me to sit down and calculate it ;)

33
Abhishek Priyam ·

tum bahut suru me hi answer de diye the.....

21
tapanmast Vora ·

Mere ko No pink [5] [2] [17]

33
Abhishek Priyam ·

:P

matalb calculate karna hoga... final answer to nahi nikale... bas fig banaye...(actually forgot to solve it yesterday night... so just drew it now...)

21
tapanmast Vora ·

Yehe!!!

me 2 same ans!!
priyam can u giv da final value of ur Ans. OR CHK my Calculation in PAGE 2

11
Mani Pal Singh ·

yeh ques to eureka ne diya tha
he SHOULD be knowing better than anybody

21
tapanmast Vora ·

Sir, pl reply here!

33
Abhishek Priyam ·

Q.2 [12] dekhte hain...

21
tapanmast Vora ·

Sir while I was givin this one a 2nd thot I realised the questn says :

2)Find area of region at point P satisfying maximum{PA+PB,PB+PC}<2 where A=(1/2 ,0) ,B=(3/2 , 0) ,C=(5/2 , 0)

So wud not the area of favourable cases on the X-axis be jus wen 1<x<2 coz beyond this bound of X our inequality wud not hold!!

So I guess the answer and working in POST #10,11 wud be my final Ans.

Very SORRY [2] if my analysis is wrong!

*** AND ya if u chk my working pl. note that the origin has been shifted to point B

Thnx for ur relentless support [1]

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