Recently Active Mathematics Questions

Consider an arbitrary function f:X→Y. It includes two important set mappings. If A is a subset of X, then its image f(A) is the subset of Y defined by f(A)={f(x) : x ε A}. Similarly, if B is a subset of Y, then its inverse ...

If tan A=ntanB , sinA=msin B prove that cos2A= m2-1/n2-1 ...

(From Brahmagupta, 7th century A.D.) A girl was carrying a basket of eggs, and a man driving a horse hit the basket and broke all the eggs. Wishing to pay for the damage, he asked the girl how many eggs there were. The girl s ...

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what is its significance?how is it useful? ...

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Can anyone and every one post some JEE level problems on BINOMIAL theorom. Thnks! ...

doubt-1: *Image* doubt-2: *Image* in this second doubt i can't understand how we came up with the condition to be satisfied for one root to be sqaure of other? ...

Do we need to memorize all the results of the expansions...mainly in the topic binomial coefficients...??? Which book is better for MATH arihant or TMH??? ...

Suppose we construct a plane such that it only contains points whose ordinates as well the abscissae are integers . Each point of this plane is labeled by a positive integer . Each of these numbers is - 1 > The arithmetic ...

i thought my mouse was not working and clicked on "Add post" several times !!! Extremely sorry....!!! how to delete a post ????? ...

Prove the following two inequalities : - 1 . *Image* Please note that " a r and b r " are two sequences of real numbers . 2 . *Image* Also infer when the two equalities hold . Note : - The first problem has got many solutions ...

1. Let f(x)=\frac{x+1}{2x-1} and g(x)=\left|x \right| + 1 . Then the number of elements in the set \left\{{x:f(x)\geq g(x)} \right\}\sim \left[\left\left(1/2,3/5 \right)\cup\left(3/5,7/10 \right)\cup\left(7/10,4/5 \right)\cup ...

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*Image* i have read that irrational roots must be conjugates and not a multiple in this case..or have i completely misunderstood the question? ...

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If a,b,c,d and p are Real. (a2+b2+c2)p2-2(ab+bc+cd)p+(b2+c2+d2)≤0 a,b,c,d are in ___? ...

Let Sn denote sum of first n terms of an AP.If S2n = 3 Sn then ratio S3n:Sn=? had been trying it for whole day today but unable to solve it so finally sending it here! ...

problem-1: a, b be real numbers such that 0 ≤ a ≤ b ≤ 1. prove: 0 ≤(b − a)/(1 − ab) ≤ 1, ...

$\textbf{Smallest root of $\mathbf{\sqrt{sin(1-x)} = \sqrt{cosx}}$}$ ...

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Find sum of first hundred terms appearing in BOTH 17,21,25......... and 16,21,26............ ...

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Q. If α =e 2π/11 and f(x)=5+\sum_{k=1}^{60}{A_{k}x^{k}} , then find the value of \frac{1}{11}\sum_{r=0}^{10}{f(\alpha ^{r}x}) . Note: Integer type! ...

http://www.targetiit.com/iit-jee-forum/posts/progressions-solution-needed-19365.html ...

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For some integer a, the equations 1988x2+ax+8891 = 0 and 8891x2+ax+1988 = 0 share a common root. Find a. i don't have answer.i am getting a=±10879.is it correct? ...

Ten people are to be sat around a circular table. (CIRCULAR NOT IN A ROW) The ten people consist of five men and five women. What is the probability that not two men and no two women are sat next to each other? ...