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Catalogs Discussion Forums -> Mechanics -> why there is no direction in dot pro.and in cross pro. there is a direction -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

Hello dear


you know very well that in dot product we always get a scalar quantity so there is no mean of directiin,bcz scalar quantities only have magnitude they dont have the direction.but in the case of cross product we get the vector quantity and we know that vector quantity always have magnitude as well as direction so that there is a role of direction in the case of cross product.


Cheers..................

Catalogs Discussion Forums -> Non IIT Institutes -> where get vitee last year paper -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

hello dear...


 


go for Arihant ,they has preevious year paper of all the exams such as AIEEE,DCE,VIT,Manipal............

Catalogs Discussion Forums -> Mechanics -> on which day sound's velocity is maximum foggy day /clear day -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

hello dear..


it is obviously a foggy day in which sound velocity is more than clear day.....


 


enjoy and chilllllllllllllllllllllllll

Catalogs Discussion Forums -> Counselling Zone -> i had sent my iitjee application very early but the website shows that it hasnt been recie -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

hello dear...


 


Dont worry...Just send them a mail to them,and try to call the conducting IIT.........and check regularly the status of your application form,Dont worry they wont reject the form in any case ,they will coordinate you thru mail or ne correspondence....


 


enjoy and chillllllllllllllllllllllllll

Catalogs Discussion Forums -> Integral Calculus -> integration of {x/(x sin x+cos x)}^2 -> Go to message
This Post 5 points    (Olaaa!! Perrrfect answer.   in 1 votes )   [?]

hello dear.........


 


{x/{x/(x sin x+cos x)}2


multiplying and dividing by (x cos x)


we get :


                      x sec x. x cos x / ((x sin x+cos x)   dx


x sec x    . x cos x / (x sin x+cos x)2 dx          -  (d/dx  (x secx ) )   ( x cos x / (x sin x+cos x)}2   dx)   dx  


after solving above integrals......


- x sec x  / (x sin x+cos x)   +    [ (x sin x+cos x) /  cos2 x (x sin x+cos x) ]  dx


- x sec x  / (x sin x+cos x)   +   sec2 x  dx




- x sec x  / (x sin x+cos x)    + tan x + c

Catalogs Discussion Forums -> Integral Calculus -> integration of root of {sin(x-a)/sin(x+a)} -> Go to message
This Post 5 points    (Olaaa!! Perrrfect answer.   in 1 votes )   [?]

hello dear...


 


 


   =      [ sin  (   x -  a ) /  sin   (   x +  a  ) ] 1/2


    =     [ sin  (   x -  a ) /  sin   (   x +  a  )    * sin  (   x -  a ) / sin  (   x -  a )     ]


  =    sin (x - a)  /     (sin2 x   -   sin a )1/2  dx


 =    cos a      [sin x / (sin2 x   -   sin a )1/2   dx  ]       -       sin a    [cos x  /  (sin2 x   -   sin a )1/2  dx] 


 =   cos a  [sin x /  (cos2 a  -   cos2  x)1/2 dx ]   -    sin a   [cos x / ( sin2 x   -   sin a )1/2 dx]


in the first part  put cos x =  t     and in the second part  sin x  =  u


 


 


now solve it....


 


you will get the answer:


 


iam writing the finla answer::


-  cos a  .  sin -1 (cos x /  cos a)     -  sin a  . log [sin x -  (sin2 x   -   sin a)1/2 ]


   


 

Catalogs Discussion Forums -> Integral Calculus -> integration of 1/cos x-sin x) please give whole solution -> Go to message
This Post 5 points    (Olaaa!! Perrrfect answer.   in 1 votes )   [?]

hello dear..


this is quite simple question put..


 


cos x  =  (1  - tan 2 x / 2)  /  (1   +  tan 2 x / 2)


sin  x =  2 tan (x/2)   /  (1   +  tan 2 x / 2)


1    +   tan 2 x / 2   =  sec2  x/2


put  tan x/2   =   t


now solve .try it .........if u are not able to get the solution, than nudge i will provide u complete solution but plz try it once

Catalogs Discussion Forums -> Integral Calculus -> integration of -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]


 


 


  [ sin n-2(x)    -   cos n-2(x)  ]   /   [sin n-2(x) . tan x    +    cos n-2(x) . cot x ]  dx


[ sin x . cos x  (sin n-2(x)    -   cos n-2(x) )] / [sin n(x)    +  cos n(x) ]  dx


put ::  sin n(x)    +  cos n(x)  =  t


n (sin n-1 x . cos x       -       cosn-1 x .  sin x ) dx  =  dt


now:


1/n    integral ( dt / t)


 


1/ n  log [sin n(x)    +  cos n(x) ]  +  c


 

Catalogs Discussion Forums -> Integral Calculus -> integrel of sqr(sin2X)\cosX -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

hello dear...


[sinn 2x / cos x ]1/2


(2 sin x)1/2


above is non integrable function ...acccording to methods prescribed for IITJEE course

Catalogs Discussion Forums -> Counselling Zone -> which is the best iit institute -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

helo dear...


Ranking varies from year to year na from surveying agency ...............so, no one quote a best IIT institute in country...........well all IITs are good enough and their departmental rank is different for each IIT

Catalogs Discussion Forums -> Mechanics -> Find Ratio Of Pressure Amplitudes -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

hello dear


the formula for energy per unit area per second is 1/2 (rho) c (omega)2 A2


pressure is directly proportional to    (rho) c (omega)2 A2

Catalogs Discussion Forums -> Non IIT Institutes -> cse or it -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

Hello dear


there is very little difference betweeen IT and CSE,even in NIT's little difference,but if you can upgrade then do it.it is better for you.


ALL THE BEST................


 

Catalogs Discussion Forums -> Mechanics -> What is bernaullies theorem -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

hello dear..


well,amit saini has the proof of the theorem,weel dude,keep it up.........


hence iam concluding it..


according to bernaulli theorem:


p +  1/2 rho v2  +   rho  g h  =  constant


pressure energy +  kinetic energy + potential energy = constant

Catalogs Discussion Forums -> Counselling Zone -> physics phobia -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

hello dear....


 


Dont worry,physics need a good grasping over the subject and a good teacher is required to understand the subject,i must suggest you o for theory before attempting any question in them,if you have cammand over the theory ,you can easily make the question.


 


have deep knowledge of the theory and concepts and than proceed further.

Catalogs Discussion Forums -> Analytical Geometry -> given d ellipse -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

hello dear........


         36x2            +     100y2      =        3600


             x2 / 100          +   y2 /  36   =  1


a = 10 and b = 6  and e = 8/ 10


(8,18/5)


cordinates of foci are      (ae,o)          (-ae,0)


foci is          (8,0)   and   (-8,0) 


equation of the line with cordinats      :::  (8,0)  and (8,18/5)


 


equation of the line with cordinats      :::  (-8,0)  and (8,18/5)


the focal radii  =


(a  + ex)   and   (a - ex)


8 +  64/ 10   =  r1


8  -  64/ 10   =  r2


 

Catalogs Discussion Forums -> Analytical Geometry -> find d eq -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

centre is(1,5), focus is (1,8) and d sum of d focal distances of a point on the ellipse is 12


focal distance   2 a  = 12


a = 6....


(x-1)2 /   a2   -     (y-5)2 /  b2  =  1


distance betweeen C and F = ae..


ae = 3..


e = 1/2


b2  =  27.


hence equation is :


(x-1)2 /   36   -     (y-5)2 /  27 =  1

Catalogs Discussion Forums -> Analytical Geometry -> find d eccen. -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

hello dear...


the cordinates of the foci are:


s = (ae,0)


si = (-ae,0)


vertex (0,b)


m1 = b / ae


m2 = -b / ae


tan 2@ = ( m1  -  m2)  /  (1  +  m1 m2)


value of (b is known)


tan 2@  =  2abe /  (a2  - 2b2)


solve value of (a) thru above equation......


the equation of ellipse is :


 x2 /  a2  +   y2  /  b2  =  1

Catalogs Discussion Forums -> Analytical Geometry -> the focal -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

hello dear..


 


the cordinate of  a focus =  (ae,0)


the cordinate of  a end of minor axis = (0,b)


(ae)2  +  b2  =  k2


distance between two foci is :


2 ae = 2h


length of semi axis are :


b = (k2  -  h2)1/2


now solve for the value of (a) by the obtained value of (b) in the above equations

Catalogs Discussion Forums -> Analytical Geometry -> the eccen.............. -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

hello dear..


2 b2  /  a  =  4


ae = 3/2


now solve it :


divide the two equations


put e2 = 1 - (b/a)2


e = 3/ 7.....


nudge me if i did some mistake in solving

Catalogs Discussion Forums -> Analytical Geometry -> a question of circle -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

cheers.............

 
 
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