Recently Active Mathematics Questions

A point is selected at random inisde a circle.Find probablity that it is farther from centre than to its circumference ...

three points are chosen from the interval [0,1].FÄ°nd the probability of choosing these points such that the longest distance betweeen two points is <= 1/2 ...

A town has several clubs. Given any two residents there is exactly one club that both belong to. Given any two clubs, there is exactly one resident who belongs to both. Each club has at least 3 members. At least one club has ...

There are 2 players in this game. The first player starts, and only positive integers can be written down on a piece of paper. If the numbers a,b have been written on the piece of paper any number written after those two cann ...

state and prove legrange`s mean value thorem? ...

Find the value of \int_{0}^{infinity}{x^{2n+1}.e^{-x^2}dx} ...

let a,b,c,d be real nubers each greater than 1. prove that 8(abcd+1) > (a+1)(b+1)(c+1)(d+1) ...

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 statements are: a) If α β are ...

if f(x) =0 for all x,is f periodic? ...

On the request of grandmaster.....writing some inequalities here which are no way necessary for JEE but can just reduce ur work The Cauchy-Schwarz Inequality (x1² + x2² + x3²)(y1² + y2² + y3²) ≥ (x1y1 + x2y2 + x3y3)² ...

y=f(x) is a curve defined as x = 1-3t2 y = t-3t3 h(x) = |f(x)| + f(x) g(x) = |f(x)| - f(x) then a∫b h(x) dx is equal to (A) a∫b g(x) dx (B) b∫a g(x) dx (C) b∫a g(x) dx only if a,b →[0,1] (D) None of these ...

The number of possible continuous f(x) defined in [0, 1] for which I1 = \int_{0}^{1}{f(x)dx}= 1, I2=\int_{0}^{1}{x.f(x)dx}=a I3=\int_{0}^{1}{x^{2}.f(x)dx}=a^{2} is ? ...

2^{\left|x \right|}\left|y \right|+2^{\left|x \right|-1}\leq 1,\left|x \right|\leq \frac{1}{2},\left|y \right|\leq \frac{1}{2} ...

I know vectors....but I find these triangle questions difficult.....plz help me in these... In triangle ABC , O,N,G,O' are circumcentre ,nine point centre ,centroid,orthocentre respectively.AL and BM are perpendiculars from A ...

A few number of cards were thrown away from a pack of 52 cards. What is the probability that 26 cards were thrown away? ...

*Image* ...

The last digit of (2137)754 is..... plz help me ...i dunno how to solve this kinds of question....[2] i want to learn this type.... ...

b=\int_{0}^{1}{\frac{e^t}{t+1}} dt then\int_{a-1}^{a}{\frac{e^-t}{t-1-a}}dt=? in terms of a and b ...

\left|x \right|+\left|y \right|< 4,log_{2}(2y-x^{2}+4)>log_{2}(y+1) ...

bhai log.........yahaan madad ki jiye........ye sabhi maine pehle kiye the par ab ho nahin rahe........... The eqn zn-1 has n roots which are called nth roots of unity.These n roots are 1,α,α2,..........αn-1 Q1 find value ...

\frac{\sum_{r=0}^{k-1}{x^{2r}}}{\sum_{r=0}^{k-1}{x^r}} is a polynomial, p and q are any 2 values of k then the roots of the equation 3x^2 + px + 5q = 0 can not be A)Real B)Imaginary C)Rational D)Irrational ...

*Image* ...

In ΔABC if points D,E,F are taken on sides BC,CA,AB respectivaly so that BD/DC=CE/EA=AF/FB=n/1....and areaΔDEF/areaΔABC=λ/[2(n2-n+1)/(n+1)2] find λ ...

sides BC,CA ,AB of ΔABC are divided by points P,Q,R in ratios BP/PC=λ,AR/RB=ν,CQ/QA=μ, than calculate area ΔPQR/area ΔABC ...

The no of ways 3 persons can distribute 10 tickets out of 15 consecutively numbered tickets among themselves such that they get consecutive blocks of 5,3 and 2 is? Ans:8C5 * (3!)2 ...

f(x) + f(x+a) + f(x+2a) + ... + f(x+na) = -f(x-a) \vee x \epsilon R ; a>0 What is the period of f ...

Q.1 IF 3 FAIR DICES ARE THROWN TOGETHER ,THE PROBABILITY THAT THE SUM OF THE NUMBERS APPEARING ON THE DICE IS K ,WHERE3<=K<=8 Q.2 THE PROBABILITY THAT A RADAR WILL DETECT AN OBJECT IN ONE CYCLE IS P . THEN THE PROBABILI ...

Q.1 TWO DICES ARE THROWN SIMULTANEOUSLY.THE PROBABILITY OF OBTAINING A TOTAL SCORE LESS THAN 11?? Q.2 SIX DICES ARE THROWN AT ONCE THEN PROBABILITY THAT ALL SIX DICES SHOW DIFFERENT FACES IS??? ...

a is a complex no. such that a^{2}+a+\frac{1}{a}+\frac{1}{a^{2}}+1=0 a^{2m}+a^{m}+\frac{1}{a^{m}}+\frac{1}{a^{2m}}+1= ? where m is +ve integer ...

find THE area enclosed by da curve x^2 + y = 9, X-axis, and lines x=-1 & x=2 ...