21Oh yes Sir, it wud b pretty easy...... I jus wanted to know if My approach in #10 is Bingo or [2]
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)
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68 Answers
21Yah Sir, can u pl. chk my approach for 1<x<2 coz i m not fully sure in dat one!
rest shall b eezie
2121yehe!!!!
ANS : Î /√3 - 3/4
ELLIPSE is the biggest HINT!!!!!
EXPERTS PL. AFFIRM MY ANS if its rite.......
11Q1
TAPAN BHAI 1ST CURVE KO TO BANANA ASSAN HAI BUT 2ND CURVE MUSHKIL HAI
1ST CURVE WILL LOKE LIKE AS SHOWN
LETS WORK ON 2ND CURVE TO FIND THE AREA
21mani thats 4 da outer boundary of ellipse wer equality occurs..... ALL AREA WITHIN THAT AREA WILL OBVIOUSLY OBEY THE INEQUALTY...... [12]
21lets take jus 1st quad rite now....
y>,x>0
y = e^-x
[x + e^-x] + [x - e^-x] = 4
CMON GUYZ HELP ME FIND x frm abov equation baki sab ho jaega......
11tapan u said
THINK ELLIPSE........................... SUM OF DIS OF A POINT FRM 2 POINTS IS A CONST. QUANTITY!!!!!!!
but its inequality given?????
11hey
tapan work on the the 1st ques till the end
itd not that easy
try to find the exact answer rather than the method
21this is my ruf working for que2....... IF IT MAKES SENSE TO U [3]
21par yeh eqtn to solv kar do pehle jee : [x + e^-x] + [x - e^-x] = 4
21HEy guyzzzzzz
Eureka dusnt hav the answers 4 this un.......
Pl. post ur answers so v can discuss, ie 4 QUE2
21Q2 mein progress ho raha hai.......... shayad ho jaega.......
21Q2 : THINK ELLIPSE........................... SUM OF DIS OF A POINT FRM 2 POINTS IS A CONST. QUANTITY!!!!!!!
21ROUGH SKETCH BANA : QUESTION WILL B MORE CLEAR.........
graf will b symm abt both da axis.......... baki to simple e^-x,e^x,-e^x,-e^-x for each of the QUADRANTS banega..........
now can u see ur defiite integeration ans ready.........
jus apply the limits as per da question.............
OR
maybe apply for jus 1 quad and 4times the answer as it will be same in all 4
21yeh kyu untuchd hai??
eureka did u get da ans or wat??
btw does [.] in the question represent GR8est integer function???
11dont waste time on gving the values
try to plot it and find the area!!!!!!!!!!!!
21then to answer is VERY simple
ANS = 4 * (1 - e^-2)
ans = 3.45865
11tapan yaar hum ne uska area bounded nikaalna hai!!!!!!!!!1
but wat is "t"
21IF THATS NOT THE CASE NA TO MEIN kal mathie ki baddie service karne vala huun
21jus chk usin CAlc. u'll get it. HOPE [.] denotes gr8est integer function in ur question
21arre mani. graf plot karke tujhe pata kab chalega ki last value of x wich satisfies the hot-discussed equation......
tera graf sahi hai..... u need to intgrat y = e^-x frm 0 to t and thn multiply it by 4 and the sum is done.... but that "t" is very imp