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 eragon24's messages in the community 1 2 3 ... 33 34 35 GO Go to Page...
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 Images -> This Post 5 points    (1    in 1 votes )   [?]
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 Discussion Forums -> This Post 12 points    (2    in 3 votes )   [?]

use exp of x.cosecx

since 0/0 form

apply L.hopital

since indeterminancy removed...put x=0

= -1/3

 Discussion Forums -> This Post 10 points    (2    in 2 votes )   [?]

here f is phi.....eulers totient function

 Discussion Forums -> This Post 20 points    (4    in 4 votes )   [?]

ok firstly see that f (100) = 100(1 - 1/2).(1 - 1/5)= 40.Since 7 and 100 are coprime Hence, by Euler’s Theorem, 7401mod 100......Now, f (40) =40( 1- 1/2).(1- 1/5)=16, hence 716≡1mod40.... Now since 1000= 16 ·62+8. This means that 71000≡(716)62.78 ≡162.78 ≡(74)2≡12≡1mod40 This means that 71000= 1+40t  for some integer tnow assembling all this we get 7^(71000)≡71+40t ≡7.(740)t≡7 mod 100

this means last two digits are 07

 Discussion Forums -> This Post 5 points    (1    in 1 votes )   [?]

checkitout

 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]

checthisout  for oder methods and other rmo Qs

 Discussion Forums -> This Post 12 points    (2    in 3 votes )   [?]

using expansion of tan x and sin x

 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]

actually this is the state of this site nowadays......jus got degraded completely.........no quality Qs......no quality discussions...........only posting rubbish everytime now or then.....and that too we get replies for such rubbish queries......and has lost serious users drastically........my advice to the admin......either revive it....or shut it down completely .......

 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]

checkthisout

and  thisalso

 This Post 0 points    (0    in 0 votes )   [?]
yep...other experts who are creating fake id shud take a lesson from it......and for others plz see that post on generating functions.....its worth a thing to be learned.....very useful
 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]

just superb

 This Post 0 points    (0    in 0 votes )   [?]
yeah.....it happens only in india...........btw 1st one was very complex :P.....dont know how many times wud u apply kirchoffs law der....rofl
 Discussion Forums -> This Post 10 points    (2    in 2 votes )   [?]

hmm...though i hav not taken bt ts this yr..... but i hav its experience......this toh i wud definately say tht leaving  2-3 full test the standard of the paper is not of jee level tats for sure....sligthly below it....but i wud say give its open tests(tat is first 2-3 full tests) they r jus fabulous......exactly of jee level...not tat tough as of fiitjee's but tricky like jee.....

 Discussion Forums -> This Post 22 points    (4    in 5 votes )   [?]

ten speaker can address in 10! ways.......including S1 S2 S3

now s1 s2 s3 can be arranged in 3! ways=6ways i.e  s1s2s3 , s1s3s2,s2s1s3,s2s3s1,s3s1s2,s3s2s1

since we want only the order s1 s2 s3 we will take 1/6 th of the total....

so no of ways such that S1speaks before S2 and S2 speaks before S3 is (1/6)10!

no of ways in which  ten speaker can address is 10! ways

probab=(1/6)10!/10!=1/6

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