Recently Active Mathematics Questions

India's rank :- 28! Cheers! Our mates have done quite a gr8 job! Detailed results avilable at :- http://www.imo-official.org/year_info.aspx?year=2009 ...

find the limit of (e^{x}-{x}-1)/{x}^2 when x→[a] where {.} denotes fractional part and [.] denotes integral part ...

if f(x) is deferentiable and strictly increasing funtion then the value of lim x→0 f(x2)-f(x)/ f(x)-f(0) is...... ...

find the discontinuity points of a point function ...

what is the integration of 1/(x^2+4x+5) ...

find all ordered triples (x,y,z)of real numbers which satisfy the following system of equations: xy = z -x - y xz = y - x - z yz = x - y - z ...

Prove that x9999+x8888+x7777+.....+x1111+1 is divisible by x+1 ...

Solution of inequality \left| \frac{x+2}{x-2}\right|>0 is ...

If Sn is the sum Sn = 1 + 1/2 + 1/3 + ... 1/n ( n >2 ) , prove that *Image* ...

Prove sin10 is irrational. ...

find the coefficient of x50 in the expression (1+x)1000+2x(1+x)999+3x2(1+x)998+...+1000x999(1+x)+1001x1000 may be it is a sum from any common book bu i do not have the solution .i found it in my state book exercise. ...

if n=1,2,3 α,β are the centroid circumcenter and orthocenter of a triangle whose sides are on y^2 = x^3 ........ prove that α1/β1 + α2/β2 + α3/β3 = 0!!!!!!!! ...

Q1. Slope of common tangent to parabolas y2 = 4ax and x2= 8y Q2.if 2y = x + 24 is atangent to the parabola y2 = 24x then its distance from parallel normal is ...

Yeah i know.I've only been posting ques on functions.But wat can i do.At the moment i am stuck wid this fordsaken chapter.But i do try to put up ood ques dat will not make u guys feel bored. So here are a few more of my doubt ...

Q. The distance between two parallel lines is unity.A point "P" lies between the two lines at a distance "A" from one of them.Q & R are points selected , 1 on each line such that triangle PQR is equilateral and the side of th ...

is it better to study calculus from the beginning of class xi or it's better to finish other topics and then go for calculus? ...

Let A be the sum of the digits of the number 4444^{4444} , and B the sum of the digits of A. Compute the sum of the digits of B. ...

Its nice to see so much of action in this section in particular, and in the forums in general, but I have a suggestion about contributing problems. I can sum it up as: Be Genuine My feeling is that we can all truly enjoy and ...

Prove that there are infinitely many primes congruent to 9 mod 10. ...

Please prove the multinomial theorem... i,e (x+y+z)n= Σ n!/p!q!r! xpyqzr . p,q,r are non - negative integer and p+q+r=n ? ...

If f(x)= x + 1/x , find fo(fof). Answer: (x2 + 1)4 + 3x2 (x2 + 1)2 + x4 /(x2 + 1)(x.x.x.x.x + 3x3 + x) I know the method but could you just show me the manipulation please? ...

1)If ar+1= 1/2(ar+1) then prove that cos[ 1-a02 /a1a2....∞]=a0 2)If A+B+C+D=2∩ prove that sinA/2.sinB/2.sinC/2.sinD/2≤1/4 ...

In spite of the spate of unanswered questions, I would like to add one more question to the forum: Find all n such that 2n divides 3n+1 (Hope this question too does not end up as a statistic) edited ...

whyf(x)=1/x has neither absolute maxima nor minima in interval( 0,1) ...

tell me the graph of min[{x},{-x}] ...

the equation e^(x-1)+x-2=0 has how many roots ?????????? ...

1.the point (0,3) is nearest to the curve x^2=2y at 2.in a triangle ABC ANGLE B=90 and a+b=4 .te area of the triangle is the maximum when angle C is ...

Does the set {1;2;...;3000} contain a subset A consisting of 2000 numbers such that x belongs to A implies 2x does not belong to A. ...

Arithmetic progressions Consider the following infinite table : 04, 07, 10, 13, 16, 19, ... 07, 12, 17, 22, 27, 32, ... 10, 17, 24, 31, 38, 45, ... 13, 22, 31, 40, 49, 58, ... 16, 27, 38, 49, 60, 71, ... 19, 32, 45, 58, 71, 8 ...

prove that:- tan(3pi/11)+4sin(2pi/11) = √11 ...