# Recently Active Algebra Questions

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replied2012-04-20 20:20:07
• \hspace{-16}$The number of triples of integers$\bf{(x, y, z)}$satisfying\\\\$\bf{x^2 + y^2 + z^2-yz-zx-xy = x^3 + y^3 + z^3}$is... ... replied2012-04-20 07:57:06 • \hspace{-16}$Determine all values ​​of $\bf{x}$ such that for all $\bf{x}$ at least one of $\bf{f(x) = x^2 +2012 x + b}$\\\\ or $\bf{g(x) = x^2 + b-2012x}$ positive. ...
replied2012-04-20 06:20:55
• I am in 11th class and looking for a good book from which I can solve quality sums , I have study material from my coaching center but that's bot enough I think. ...
replied2012-04-20 02:34:28
• \hspace{-16}$If$\bf{a,b,c\geq 0}$and$\bf{a+b+c=1}$. Then minimum value of \\\\\\$\bf{T=3\sum (ab)^{2}+3\sum ab+2\sqrt{\sum a^{2}}}$... asked2012-04-19 20:27:48 • |x|2 - |x| - 2/2|x| - |x|2 - 2 > 2 holds if and only if (A) - 1 < x < -2/3 or 2/3 < x < 1 (B) -1 < x < 1 (C) 2/3 < x < 1 (D) x > 1 or x < -1 or -2/3 < x < 2/3 ... replied2012-04-19 02:35:29 • Find the largest positive integer, m such that 2m-1 divides 33!. ... replied2012-04-18 10:36:16 • Six married couples are sitting together.NUmber of ways of selecting 4 people so that there is exactly one married couple among the four is: I thought the answer should be C(6,1)*C(10,1)*C(8,1) that is 480. The answer given i ... replied2012-04-18 07:59:20 • \hspace{-16}$If $\bf{x^3-3x+1=0}$ has a $\bf{\mathbb{R}}$oots $\bf{a\;\;,b\;\;,c}$ Respectively.\\\\ Then $\bf{a^8+b^8+c^8=}$ ...
replied2012-04-17 20:51:15
• \hspace{-16}$If$\bf{4m.n(m+n-1)=(m^2+1).(n^2+1)}$. Then no. of Ordered pairs \\\\ of Integers$\bf{(m,n)}$is ... asked2012-04-17 20:45:50 • \hspace{-16}$If $\bf{k\in \mathbb{R}}$ and $\bf{0\leq k\leq 56}$. Then no. of Real Solution of \\\\ $\bf{(x-1)(x-2)(x-3)(x-4)(x-5)(x-6)=k(x^2-7x)+720}$ ...
• \hspace{-16}$Find The Greatest positive Integer$\bf{m}$such that$\bf{2^m}$\\\\ divides$\bf{2011^{(2013^{2016}-1)}-1.}$... asked2012-04-17 20:37:25 • *Image* ... asked2012-04-17 20:32:15 • \hspace{-16}$If $\bf{x^4 + 8x^3 + 18x^2 + 8x + a=0}$ has a $\bf{4}$ Diff. $\bf{\mathbb{R}}$oots.\\\\ Then $\bf{\mathbb{R}}$ange of $\bf{a}$ is ...
replied2012-04-17 09:05:17
• In a series of games between team A and team B,they decide to play on till a team wins 5 matches .In how many ways can A win the series if no match ends in a draw? Please explain how you solved it! Answer is 126 ...
replied2012-04-16 22:53:14
• \hspace{-16}$If$\bf{\begin{Vmatrix} \bold{x^3+2=3y}\\\\ \bold{y^3+2=3z}\\\\ \bold{z^3+2=2w} \\\\ \bold{w^3+2=3x} \end{Vmatrix}}$\\\\\\ Then no. of Real ordered pairs of$\bf{(x,y,z,w)}$is ... asked2012-04-16 19:53:04 • Let S = \left\{(x,y): |||x|-2|-1|+|||y|-2|-1|=1 \right\} . If a wire is made out of S, then the length of such wire is? Source : FIITJEE PT II (P1) Q.1 (Maths) ... replied2012-04-16 13:02:34 • If A is an Invertible Matrix, Show that det(AT A)>0 ... replied2012-04-13 22:12:17 • The number of quadratic equations, which are unchanged by squaring their roots is ? ... replied2012-04-13 04:41:58 • Find the sum of n terms: 1+2(1-a) +3(1-a)(1-2a)..........k(1-a)(1-2a)...{1-(k-1)a} ... replied2012-04-11 10:26:47 • if the sides of the triangle is determined by throwing a triplet of dice then the number of different triangles with all the distinct sides is?? ... replied2012-04-11 03:57:27 • 202 x 20002 x 200000002 x 20000...(13 zeroes)...2x 2... (31 zeroes)...2. Find the sum of the digits of the product thus formed. ... replied2012-04-11 03:55:46 • The number of quadratic equations, which are unchanged by squaring their roots is ? ... asked2012-04-11 02:09:44 • \hspace{-16}$If $\bf{a_{1}+a_{2}.2!+a_{3}.3!+......+a_{n}.n!=695}$. Then $\bf{a_{4}=}$\\\\ If $\bf{0\leq a_{k}\leq k}$ and $\bf{n!=n.(n-1).(n-2)........3.2.1}$ ...
replied2012-04-10 02:05:25
• \hspace{-16}$Find Min. value of$\bf{\mid z^2-az+a\mid}$\\\\ Where$\bf{a\in\mathbb{R}}$and$\bf{\mid z \mid \leq 1}$and$\bf{z\in \mathbb{C}}\$ ...