3 Days 244/16·mole concept question can..:Q1 Because of insufficient ignition, a supposed CaO precipitate from a 1 g
sample of limestone weighed 0.4125 g and contained 5.3% of its own
weight of CaCO3[/ss](ie there is CaCO..
8 Days 88/3·quardatic:1.find the condition that the root of the equation ax^2+bx+c=0 may differ by 5.
2.if the equation x^2+px+q=0 and x^2+p'x+q'=0 have a common root ,show that it must be equal to
pq'-- p'..
10 Days 451/13·Party Time:Mr and Mrs. Bajaj invite three other couples to a party and as usual some people shake hands. Spouses do not shake hands with each other.
At the end of introductions, Mr. Bajaj asks all others incl..
12 Days 226/4·divisible by 6:Show that in any set of eleven integers there are six whose sum is divisible by 6 .
15 Days 237/7·classic threads :Post the links of the good threads in tiit , which u feel shud be added to the CLASSICS tab , so that it benefits evryone.
17 Days 94/2·A.P., G.P. n H.P.:If the first and the (2n-1)the terms of an A.P. , G.P. and H.P. are equal an their nth terms are a, b, c respectively, then
(a) a=b=c
(b) a≥b≥c
(c) a+c=b
(d) ac-b2 = 0
17 Days 65/2·31:
([sqrt]2[/sqrt]+1)x+([sqrt]2[/sqrt]-1)x =6x/2
17 Days 57/2·74:1)) http://codecogs.izyba.com/gif.latex?\lim_{x\rightarrow%20\propto%20}%20sinx/x[/im]
2) http://codecogs.izyba.com/gif.latex?\lim_{x\rightarrow%200}%20\frac{\sqrt{(1-cos2x)/2}}{x}[/im]
18 Days 933/21·IMO 2010:IMO 2010 is currently underway at Kazakhstan. The actual competition will be on 8th-9th as far as I can make out.
http://michaelnielsen.org/polymath1/index.php?title=Imo_2010 will feature a joint e..
19 Days 102/3·circles:Find the values of x; y for which x2 + y2 takes the minimum valuewhere
(x + 5)2 + (y-12)2 = 142.
19 Days 314/13·algebra eqn:solve
1) (x+4)(x+7)(x+8)(x+11) +20=0
2) 2x3+5x2-2x+3=0
20 Days 212/8·googly from ATGS 14:a well known one, but still very amusing(i think this has been already been discussed but still):
An airplane has 100 seats, and 100 passengers were assigned seats. The first passenger enters the..
20 Days 71/2·Electric field : Conducto..:Can anyone tell what is the direction of electric field on the surface of the conductor.....
Is it Radial or tangential????????????
21 Days 155/4·coordinates:Find coordinates of a set of eight non-collinear planar points so that each has an integral distance from others.
21 Days 115/3·find the value of the exp..:in any triangle ABC, the value of http://codecogs.izyba.com/gif.latex?%5Csum%7B%7D[/im] a(b2+c2) cosA is
1) 3 abc 2)3(a2+b2+c2)
3)a2+b2+c2 4)abc
a..
22 Days 131/3·Today ' s Calculation Of ..:[image]54075418.jpg[/image]
[image]54075535.jpg[/image]
[image]54075800.jpg[/image]
[image]54075833.jpg[/image]
[image]54075901.jpg[/image]
22 Days 191/6·nt:Show that a4b+1 - a is divisible by 30
22 Days 273/13·Today ' s Calculation Of ..:[image]53901701.jpg[/image]
[image]53901550.jpg[/image]
[image]53901629.jpg[/image]
[image]53904436.jpg[/image]
23 Days 68/1·book:please tell me any good online book for trignometry
23 Days 3071/61·For Seniors:Pls tell me if any one has good study material for jee and could pass it on to me for free
23 Days 144/7·trignometry inequalities:1.If A+B+C = ∏ and A,B,C belongs to (0,∏/2) then prove that
secA +secB +secC≥6
2.Prove that sinx.sin2x.sin3x <9/16
3.Prove that in triangle ΔABC
cosec A/2 + cosec B/2 +cosec C/2 ≥..
24 Days 178/5·AP-GP:A fun result. Its more suited for 11th students
A sequence is as follows:
1,2,3,4,5,10,20,40,80,160,...
i.e. the 1st 5 nos. in AP and then onwards a GP.
Prove that every natural number can..
25 Days 127/4·Today ' s Calculation Of ..:[image]53821893.jpg[/image]
[image]53821926.jpg[/image]
[image]53821976.jpg[/image]
[image]53822013.jpg[/image]
[image]53822051.jpg[/image]
[image]53822073.jpg[/image]
[image]53822092.jpg[/i..
25 Days 54/1·easssy integrations..:http://codecogs.izyba.com/gif.latex?\int%20\frac{cos\:%202x-cos\:2\alpha%20}{cos\:x-cos\:\alpha%20}dx[/im]
26 Days 157/3·divisible:Given 2 positive integers a,b satisfying a< b . Prove that among every b consecutive positive integers there are two numbers whose product is divisible by ab .
26 Days 99/2·Elimination:If k=at1[/ss](1+t2[/ss]2) ,h=-a(t1[/ss]2+t2[/ss]2 +2) and t1[/ss]t2[/ss]=-4 then eliminate t1[/ss] and t2[/ss].
32 Days 170/4·Session start dates for v..:Can anyone post the dates of the beginning of semesters in different colleges? Like BITS, VIT, etc...I was curious, just wanted to know.
34 Days 373/15·pretty one:In an international meeting of n≥3 participants, 14 languages are spoken. We know that:
- Any 3 participants speak a common language.
- No language is spoken more that by the half of the pa..
34 Days 54/0·ships:There are 5 ships in a port.
1. The Greek ship leaves at six and carries coffee.
2. The ship in the middle has a black chimney.
3. The English ship leaves at nine.
4. The French ship with a blue..
39 Days 565/27·top three horses:many of you have done this
There are 25 horses and 5 race course. that means you can run atmost 5 horses in one race.
What will be the number (minimum) of races required to find the top 3 horses..
39 Days 184/6·Congruency :Prove::::::::
If gcd(a,n)=1,then the integers c,c+a,c+2a,c+3a,...........................,c+(n-1)a form a complete set of reidues modulo n, for any c.
41 Days 272/16·Solomons and Frhyle Solut..:Q.Can any one please give the LINK FOR SOLUTION MANUAL OF SOLOMONS AND FRHYLE : FUNDAMENTALS OF ORGANIC CHEMISTRY ?
43 Days 303/4·Prove it.............:Prove that any integer of the form 3k+2 also has a prime factor of the form 3k+2............
43 Days 1062/48·congruences A-Z:this thread is mainly intended to give some insight into congruences and how to solve various jee related problems using that concept..
definition of congruent:
A number `a` is said to be cong..
43 Days 136/2·a nice question:Three boxes contain 600 balls each. The first box contains 600 identical red balls, the second box contains 600 identical white balls and the third box contains 600 identical blue balls. From these th..
46 Days 310/9·inequality :):prove that
xyz >(y+z-x)(z+x-y)(x+y-z)
[hide]i have found one solution but i am sure a better is existing in someones brain :) [/hide]
50 Days 178/2·good one:Fifteen boys are standing on a field, and each of them has a ball. No two distances between two of the boys are equal. Each boy throws his ball to the boy standing closest to him.
(a) Show that on..
51 Days 3847/41·RMO 2009:[image]35001143.jpg[/image]
61 Days 350/9·FIND OUT MY WIFES AGE:WHEN I ASK MY WIFE HER AGE SHE SAYS IF YOU WANT TO KNOW MY AGE THEN SOLVE THIS PUZZLE IF YOU ARE UNABLE TO SOLVE THIS PUZZLE I WILL PART AWAY WITH YOU PERMANENTLY. (MEANS SHE WILL LEAVE ME PERMANENTLY..
62 Days 461/6·AIEEE RESULTS:AIEEE RESULTS TO BE OUT TOMMORROW!!!!!!!!!!!!!
62 Days 306/16·Find The difference..:Find the difference with your targetiit main page..
[image]11665725.jpg[/image]
67 Days 153/4·24-5-10 sum of n consecut..:Under what condition on n, will n consecutive integers exist whose sum is nk
Hint: Consecutive integers are in AP
68 Days 669/27·BITSAT 2010:How many of you have applied for BITS ?
What dates have you all chosen for the exam?
my slot
May 22: first slot
68 Days 225/10·See This Page:):Just see my home page and the menus there in yellow circle..
:)
:)
[image]11597743.jpg[/image]
71 Days 6375/56·Coaching Institute for II..:I am starting a poll of our users for the best coaching institutes for IIT JEE for the users to take note of. (Also Includes Private teachers)
Please Suggest the ones for the following cities (To b..
76 Days 226/2·nice RMO 2008 inequality:suppose a and b are real numbers such that the roots of the cubic equation http://codecogs.izyba.com/gif.latex?ax%5E3-x%5E2+bx-1[/im]=0 are all positive real numbers. Prove that: (i) http://codecogs.i..
82 Days 264/14·BIQUADRATIC:Q1 Let the roots of f(x)=x be α and β where f(x) is a quadratic polynomial. It is true that α,β also satisfies f(f(x))=x. Let the other roots of the eqn. f(f(x))=x be γ and δ. Now Correct statem..
86 Days 192/6·chessboard:we are allowed to exchange any 2 rows and any 2 coloumns of a 8x8 chessboard whose squares are alternately painted black and white in the usual manner.By a sequence of such changes, can we obtain a b..
86 Days 844/49·BITS:experts..tips on how to prepare for BITS!!
87 Days 826/50·28-04-10: Probability :This one is a question someone asked me a few days back.. I guess it is from a ISI paper... (I may be wrong!)
There is a matrix which is NxN
Each element is filled with either 1 or -1 with an ..
87 Days 812/29·inverse trigo and series ..:given
S = tan-1(1/3)+tan-1(1/5)+tan-1(1/7)+..........+tan-1(1/(2n-1))
if S = Π/4
find n
87 Days 9916/307·Bashing this site!:You can put down all your complaints.. errors on tests and anything that u dont like about this site.. on this thread.
I will try to make it sticky so that it is always in the home page view!
Or m..
90 Days 155/4·pls solve:
p,q € I such that p2 + q2 =30q2 +517 then the value of 3p2q2 will be????
a 169
b 488
c 588
d 688
91 Days 128/6·help:IF x,y belongs toR AND x2+y2+xy=1,then minimum value of
x3y+xy3+4=?
91 Days 108/2·29-04-10: Energy of a sph..:What is the energy needed to accumulate a sphere of a mass M and radius R (better language?)
* A very standard question...
92 Days 148/4·help needed regarding cla..:guys..i m right now in class 12th (enrolled in fiitjee)...i wanted to go for brilliant's test series(B Mat)....i just wanted to ask (those who have passed 12th can only tell)...that will it create pro..
92 Days 309/13·A couple more...:Not dbts, but action here has slowed up a bit, so trying to bring them up....
1) Reals x,y satisfy http://codecogs.izyba.com/gif.latex?x%5E2+y%5E2+xy%3D1[/im].
Find the minimum value of http://c..
94 Days 172/11·ε-δ : Let f defined on [0,1] be twice differentiable such that
http://codecogs.izyba.com/gif.latex?|f%27%27(x)|\leq%201[/im]
for all xhttp://codecogs.izyba.com/gif.latex?\in[/im][0,1] .
If f(0) =f(1)..
94 Days 243/11·a great quote:When Sachin Tendulkar travelled to Pakistan to face one of the finest bowling attacks ever assembled in cricket, Michael Schumacher was yet to race a F1 car, Lance Armstrong had never been to the Tour..
94 Days 419/11·crack this:Find all pairs (x, y) of integers such that x^3 - y^3 = 2xy + 8
94 Days 172/2·7 sticks:make 4 equilateral triangles with 7sticks (all the sticks are of equal length)
94 Days 91/0·good one:probability:prophet sir .. have a try at this one :)
Each of the boys A and B tells the teacher a positive integer but neither of them knows the other`s number.The teacher writes 2 distince positive integers..
94 Days 319/48·zzzzzzzzzzzzzzzz:hiii subho! its been ages since i talked to u!! how are u?!
94 Days 60/1·suggestions abt book:how is new simplified physics my teachers had
suggested it
94 Days 273/6·COMPLEX NO:Prove that if z1[/ss] and z2[/ss] are two complex numbers and c>0 , then
|z1[/ss]+z2[/ss]|2 ≤ (1+c)|z1[/ss]|2 + (1+c-1)|z2[/ss]|2
94 Days 147/11·Solve:http://codecogs.izyba.com/gif.latex?\frac{9}{1!}+\frac{16}{2!}+\frac{27}{3!}+\frac{42}{4!}+...[/im]
95 Days 1160/38·Rolle's Theorem/ Lagrange..:Q 1) Prove that http://codecogs.izyba.com/gif.latex?f%28x%29%3D%5Cfrac%7Bx%5E7%7D%7B7%7D-%5Cfrac%7Bx%5E6%7D%7B6%7D+%5Cfrac%7Bx%5E5%7D%7B5%7D-%5Cfrac%7Bx%5E4%7D%7B4%7D+%5Cfrac%7Bx%5E3%7D%7B3%7D-%5Cfra..
100 Days 233/6·root 2 = 2:There is a square of side 1.
remove a square from the vertex
keep repeating till you get a pattern like in the image....
[image]29534497.jpg[/image]
now if you move from one vertex of the ..
108 Days 227/6·engineer's thought:a question was asked to the students of a few colleges...
PROVE THAT [frac]210[/frac] = 2
Responses:
ARTS college : question is wrong
COMMERCE college : printing mistake
MEDICAL colleg..
112 Days 583/12·IIT JEE 2009 P1 Q8:The correct acidity order of the following is
[image]15034267.jpg[/image]
(A)III>IV>II>I
(B)IV>III>I>II
(C)III>II>I>IV
(D)II>III>IV>I
117 Days 113/2·circles ques...:let each of circles
S1[/ss]≡x2+y2+4y-1=0
S2[/ss]≡x2+y2+6x+y+8=0
S3[/ss]≡x2+y2-4x-4y-37=0
touches the other two. let P1[/ss],P2[/ss],P3[/ss] be the point of contact of S1[/ss] and S2[/ss]..
118 Days 91/10·Man !!! It's Organic agai..:[image]45858016.jpg[/image]
Indicate the bond energies of C-H bonds indicated by a, b ,c in ascending order.
Please give reasons.
118 Days 178/4·help ASAP:solve the following
http://codecogs.izyba.com/gif.latex?\int_{0}^{\pi%20}{\frac{\sin%20^2n\theta%20}{\sin%20^2\theta%20}}d\theta[/im]
118 Days 494/22·WHAT'S ANTIAROMATIC.:I WANT TO KNOW WHAT IS ANTI- AROMATIC. NEVER LEANT ANY THEORY ON IT.
NEED HELP GUYS.....PLEASE HELP ME KNOW IT !!!!
118 Days 97/1·parabola:Consider a parabola Y=X2/4 and d point F(0,1).
Let A1[/ss] (x1[/ss],y1[/ss]), A2[/ss] (x2[/ss],y2[/ss]), A3[/ss] (x3[/ss],y3[/ss])......,An[/ss] (xn[/ss],yn[/ss][/ss]) are 'n' points on the parabol..
120 Days 1765/35·HAVE A LOOK:PLS ATLEAST HAVE A LOOK CALCULUS BEGINNERS
http://www.plu.edu/~heathdj/java/calc1/Epsilon.html
127 Days 217/2·20-8-2009 :chemistry:1) Aspirin is a pain killer with pKa=2. 2 tablets each containing 0.09 gm of aspirin are dissolved in 100ml solution. Resultant pH = -----------
2)if rain water consists of 2.463 lt of dissolved ..
127 Days 120/3·Test questions:Q18 The final product B in the following reaction
CH3CH2CH = CH2 + NBS,hν + (C6H5CO2)2 → A + CH3SNa + CH3OH → B is
a) Methyl 1-methylallyl sulphide
b) Allyl methyl sulphide
c) n-Butyl me..
136 Days 169/0·combinatorics:On a bookcase there are n ≥ 3 books side by side by different authors. A librarian considers the first and second book from left and exchanges them iff they are not alphabetically sorted. Then he is..
139 Days 311/21·P&C rules : Maths rules !..:Find the no. of ways of arranging 5 identical green, 4 identical blue and 3 identical yellow balls in a row such that none of the identical balls form a block (or in other words...comes serially :-).
142 Days 85/3·chalte chalte combinatori..:maximum no. of ways of distributing 15 distinct objects to three persons such that..the no. of objects received by the persons are in A.P.
Ans[hide](15)! / (5!)3[/hide]
143 Days 145/4·Electromagnetic Waves:Statement: The electric field is responsible for the optical effects of an electromagnetic wave.
Justify the above statement.
143 Days 113/4·quadratic:(1) If c,d are the roots of the equation x2+ax+b=0 and a,b are the roots of the equation x2+cx+d=0 then find the value of a+2b+3c+4d =
144 Days 192/3·pieces on a chessboard:8 pieces are placed on a chessboard such that no two pieces lie on the same row or column.
Prove that an even number of pieces lie on black squares
144 Days 415/28·BT STS help??:Guys do u feel BT aits are getting tougher that FIITJEE even??????????????????wat i want to know is ......i jus got the STimulator tests ( YELLOW BOOK) ...the tests in them are easier ..........bit ar..
144 Days 93/2·Just a MINUTE:HOW DO WE DETERMINE A WHETHER A POLYNOMIAL f(x) < 0 or not
{WITHOUT USING GRAPHS !!!!!!!!!)
I MEAN IF V CONSIDER A QUAD EQN THEN f(x) > 0 if a>0 & D <0
& reverse for f(x) < 0
Is this co..
144 Days 67/1·chalte chalte combinatori..:total number of 6 digit number formed by 0,1,2,3,4,8.no digits should repeat ....is
a)216
b)150
c)116
d)98
144 Days 76/1·theory of equations:according to descartes theory of equation f(x) cant hv more posititve than changes in the expression does it also include 0 as the root
n in the iit protion is the question just till quadractic..
147 Days 739/26·IIT JEE 2009 P2 Q19:The total number of cyclic structures as well as stereo isomers possible for a compound with the molecular formula C5H10 is
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