Popular Mathematics Questions

this thread is only for integration sums............ AND YA FORGOT TO TELL ALL TARGETIT USERS, I HAVE COPIED ALL THESE SUMS. SO KISIKO GAALI DENA HAIN YA KUCH KEHNA HAIN, PLEASE VISIT http://targetiit.com/profile711.html AND ...

Q1. L1 ≡ ax+by+c and L2 ≡ lx+my+n , where a,b,c,l,m,n are real. L1+λL2=0 represent all lines passing through intersection of L1=0 and L2=0 (True/False)? ______________________________________________________ Q2. Lim(x→ ...

Q1. lim(x→2a) [ x-2a + x - 2a ]/[ x2 -4a2] Q2. lim(x→∞)2x( x2+1 - x) ...

Here i will be posting ques on probability which could prove to be useful 4 every1 Do try to give explanations if u can options will be given on demand[1] Q1 If the papers of 4 students can be checked by any one of 7 teachers ...

o∫pi/2 dx/ 1-ksin2x yeh pleeeeeeeeeez koi banao .... kal poori saat nahi so payee theek se.. iske chalte... have bcome dumb in integration i think :( :( ...

I wiill put up some good questions of AM GM inequality only... So that you all can try them.. some of themwill be very very easy.. others will be a bit more tough... So try them all one by one.. I will try to post them in ord ...

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) ...

Q1 \lim_{n\rightarrow infinity}(\frac{1}{n^{100}}\sum_{r=1}^{n}{r^{99}}) ...

A bag contains 8 red and 5 white balls.Three balls are drawn at random.Find the Probability that All the three balls are white in solving this question i have a doubt can we take 5 white balls as identical or not.can u explai ...

A compilation of quesitons similar to the way bhargav had one :P (hence borrowed a part of the name..) Keep solving and i will keep adding questions here... To begin with first 5 are here... Question 1) \left(\frac{dy}{dx}+1\ ...

THIS IS SERIOUSLY NOT FOR IITJEE practice.....THEY ARE 2222222 EASY............ ONLY FOR CBSE sure shot QUESTIONS... Please other guys dont scold me for these easy questions.. 1. Find the principal value of tan-1(tan7∩/6)+c ...

Hi T IIT IIANS !!! ...

1) Evaluate limx->infinity cosx/x or explain why it doesnt exist? 2) Evaluate lim t->4 (t- 3t+4 )/t-4 or explain why it doesnt exist? 3) Evaluate lim x->1 x-1 / x-1 or explain why it doesnt exist? 4) Let f(x)= sinx/x ...

How thick should a coin be to have a 1/3 chance of landing on edge? ...

Find the remainder when (1!+2!+3!+...+2007!)^500 is divided by 7... #This question is directly copied from a standard buk... juzz wanna know different ways of solving it... ...

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*Image* Please discuss the questions Got the answer of Q3. as 837 Q4. {1,2,4} and Q6. 43 ...

some of my friends are confused with percom so i want all here help them out with theory and problems alike......some are starting now...can nishant bhaiya help??? ...

a good question for jee aspirants new to this forum...... *Image* suppose an insect (without wings) has to crawl from vertex A to vertex B of the cube of side a shown in the figure then find the minimum distance that the inse ...

Q1. Let ABC be a triangle and let P be an interior point such that <BPC=90°, <BAP=<BCP. Let M,N be the midpoints of AC,BC respectively. Suppose BP=2PM. Prove that A,P,N are collinear ...

Here are the Questions i could remember ..... Q.1. What should be the values of x and y such that x2 + y2 is minimum and (x + 5)2 + (y – 12)2 = 142 ?? I got the answer as (x, y) = ( 5/13, -12/13 ) and min value as 1 Q.2. so ...

there are 1000 men standing in a circle numbere 1 to 1000 on their back. the person with number 1 is given a sword. he kills 2 and gives sword to 3. 3 kills 4 and passes the sword to 5. the process continues so on............ ...

Prove it: sin-1(1-x) - 2sin-1x = pi/2 ...

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 congruent to `b` modulo `m` if `m` di ...

Three numbers are chosen at random from 1 to 20. The probability that they are consecutive is ...

FIND THE INVERSE OF x+Sinx AND ALSO DRAW THE THE GRAPH OF BOTH THE FUNCTIONS ...

PLot the graphs of these! 1) 1/2x, 1x, 2x, ex on the same plane (sheet) 2) 2x, 2-x, 22x, 2-x on the same sheet! 3) 2x and 1+x3 on the same sheet! 4) [y]=[x] 5) [y+1/2] = [x] 6) [x] = [2y] 7) [2x] = [3y] 8) [2x ...

Find the area bounded by the curves x2+y2=4, y=x2+x+1, y=[sin2(x/4)+cos(x/4)] and the x-axis,where [.] denotes greatest integer function!! ...

Antonym Autonomy 1. submissiveness 2. slavery 3. subordination 4. dependence.. ...

though may be easy....but not getting[2] if x_{1}^{2}+x_{2}^{2}+x_{3}^{2}........x_{20}^{2}=400 y_{1}^{2}+y_{2}^{2}+y_{3}^{2}........y_{20}^{2}=900 find \frac{x_{1}}{y_{1}}+\frac{x_{2}}{y_{2}}+\frac{x_{3}}{y_{3}}+...........\ ...