Recently Active Mathematics Questions

If thotal number of runds scored in n matches is \left(\frac{n+1}{4} \right)\left(2^{n+1} -n-2\right) where n >1, and the runs scored in the kth match are given by k.2n+1-k, 1≤k≤n. Find n ...

Sun of the first n terms of a the series 12+2.22+32+2.42+52+2.62.... is n(n+1)2/2 when n is even what is the sum when n is odd? ...

If a, b, c, are in AP. a2, b2, c2 are in HP prove that either a=b=c or a,b,-c/2 are in GP ...

An infinite GP has first term x and sum 5 then x belongs to ? ...

a, b, c, are +ve real numbers prove (1+a)7(1+b)7(1+b)7>77a4b4c4 ...

let f :R-->R be any function . define g :R-->R by g(x) = |f(x)| for all x. then g is a. onto if f is onto b. one=one if f is one-one c.continuous if f is continuous d. differentiable if f is defferentiable any example o ...

two persons ach make a thrw wid a pair of cubical die n let p denote d prob dat their thrws r equal then find d value of 648p Given by Integrations! ...

Total no. of ways in which 256 identical balls can be placed in '16' numbered boxes (1,2,3,...16) such that rth box contains atleast 'r' balls is (1≤r≤16) ...

\lim_{x\to 0}\left(x\sum_{i=1}^k\left[\dfrac{i}{x}\right]\right) = ?? Here [x] denotes the greatest integer function and k is a natural number. ...

if x ε R find maximum value of 2(a-x)(x+ x2+b2 ) any method other than dy/dx ?[7][7] ...

Sum of roots of sin^{-1}\frac{ax}{c}+sin^{-1}\frac{bx}{c}=sin^{-1}x is ????? ...

A circle with radius a and centre on y - axis slides along it and a variable line through (a,0) cuts the circle at points P and Q. What is the region in which the pt of intersection of tangents to the circle at points P and Q ...

This is crackable but nice: f:(a,b) \rightarrow \mathbb{R} is continuous. Prove that given x_1, x_2, x_3,...,x_n in (a,b), there exists x_0 \in (a,b) such that f(x_0) =\frac{1}{n} \left(f(x_1)+f(x_2)+f(x_3)+...+f(x_n) \right) ...

NUMBER OF ORDERED TRIPLETS l,m,n ( l,m.n are positive integers and 1≤ l,m,n≤ 8 ) such that 2l + 3m + 5nis divisible by 4 is _______________ [94] a> 224 b>288 c> 60 d> 256 ...

An ellipse given by x^2+4y^2=16 has a circle inscribed with centre at (1,0) ,what is the maximum possible radius? Ans: \sqrt{\frac{11}{3}} ...

The foot of the perpendicular on the line 5x+y=k drawn from the origin is M the line cuts the co-ordinate axes at A and B respectively then BM:MA is a)5:1 b)15:1 c)25:1 d)2:1 ...

WAT IS WALLI's FORMULA??? I guess it is some generalisation for \int_{0}^{\Pi /2}{sin^{2k}x\times \cos ^{2n}x}\, dx Can sum1 pl. tell me wat it is precisely.............. ...

All chords of the curve 3x2-y2-2x+4y=0 which subtend a right angle at origin pass through a)(1,2) b)(1,-2) c)(2,1) d)(1,1) ...

prove (\frac{1}{2})(\frac{3}{4})(\frac{5}{6})..........(\frac{999999}{1000000}) < \frac{1}{1000} ...

The land of Hogwarts school of magic is different. The no. of girls and boys are equal . All the boys have two hands, while all the girls have only one {:)} . Dumbledore, the principal of the school arranged a party on new ye ...

zlog(ex+iy)=????? where z≠0 & -π<arg(z)≤π ...

the tangent to curve y=ex drawn at point (c,ec) intersects line joining the points (c-1,ec-1) and (c+1,ec+1) at the point????????????????? which is shortest posible method to solve this type of question????plz share ur ideas. ...

There are n urns each containing n + 1 balls such that the ith urn contains i white balls and ( n + 1 - i ) red balls. Let *Image* be the event of selecting ith urn, i = 1, 2, 3 ..., n and w denotes the events of getting a wh ...

Like the title says, this is not JEE stuff, but if you have been following some of my recent posts, this may be worthwhile doing: \int_0^1 f(x) \ dx = \int_0^1 x f(x) \ dx = 1 Prove that \int_0^1 f^2(x) \ dx \ge 4 ...

COmplez nos........ (z+1)6 + z6 = 0 P.N. If u get z = -0.5 then pl. chk it by substituting in the Eqtn........ ...

i even dunno the answer.. from a variable point C on a circle a perpendicular is drawn on a chord AB of the circle meeting the chord at D.Then evaluate lim.(C→B ) CD2/DB ...

A is d area boundd by x=mod(y^2-1) and y=x-5 the 6A = ? ...

This thread features my doubts in integration problems.....others can feel free to post their own!!! OK HERE GOES: I came across these questions in Brilliant Tutorials Elite Course ...... (I) Both of the questions below have ...

*Image* am NOT GETTING HOW THEY SAY ONE ROOT LYING .. MEANS PLEASE EXPLAIN THOSE LINES ? ...

*Image* ...