Recently Active Algebra Questions

1+ 2+ 3+ 4+.......∞ how to evaluate dis?? ...

Determine all pairs (a,b) of positive integer such : a2/2ab2-b3+1 positive integer ...

fin ...

What is the nth term of 1,2,3,6,24,108 ......? ...

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What's d solution of log(a-bx) ????????????????? ...

Given are three real numbers a,b,c. satisfying abc+a+c=b. Prove that 2/a2+1 - 2/b2+1 + 3/c2+1 ≤ 10/3 . Can the equality hold? PS. This does not require any inequality theorem(not even Am-Gm). I cant claim to have solved thi ...

\hspace{-16}\bold{(Q)::}\; $If $\mathbf{p(z)=|2z-1-i|+|3z-2-2i|+|4z-3-3i|}$\\\\ Then find Min. of $\mathbf{p(z)}$ and also find corrosponding Complex no.$\mathbf{z}$ ...

what is the inverse of the matrix 1 3 -2 -3 0 -5 2 5 0 ...

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The other day i was solving a logical reasoning problem. One of the statement of the problem read as follows: "Consider a two digit INTEEGER x such that the sum of digits is 3" Confusion: We can have x of ±AB form where A an ...

$\textbf{Solve for $\mathbf{x::}$}$\\\\ \mathbf{\sqrt{x+2.\sqrt{x-1}}+\sqrt{x-2.\sqrt{x-1}}=2}$ ...

In how many ways can one go from A to B ,if movement is allowed only the edges, and travelling the shortest distance possible in each case? *Image* ...

Help me frnds. I am struck.the answer requires integral value.but i am gettimg ans in log function. Q. Find (a logbx) if a= 0.2 , b = √5 and x= (1/4 + 1/8 + 1/16+......∞ terms) the options are (A)1 (B)1/2 (C) 2 (D) 4 ...

maths musing is a section in mathematics today(mtg magazine) which has some good iit related mathematics question i have created a pdf of this section and uploaded here ... http://www.scribd.com/doc/56405508/Math-Musing ...

\hspace{-16}\bold{(Q)::}\; $Find all Complex no. $\mathbf{z_{1}}$ and $\mathbf{z_{2}}$ in \\\\\\ $\mathbf{z^2_{1}-3z_{2}+5=0}$\\\\ $\mathbf{z^2_{2}-3z_{1}+5=0}$ ...

x+iy=(1-i*root3)^100.........x=?y=? ...

Try this, it's really appealing.... a,b,c>0 Prove the following inequality: ab(a+b)+bc(b+c)+ca(c+a)\ge \sum_{cyc}ab\sqrt{\frac{a}{b}\left(b+c \right)\left(c+a \right)} ...

$\textbf{Solve for real system of equation}\\\\ $\mathbf{3.(x^2+y^2+z^2)-2(xy+yz+zx)=1}$\\\\ $\mathbf{x+y-z=-1}$ ...

the 'set of all squares in a plane' is the subset of 'all rectangles in the same plane'...T/F? ...

well...no takers :( ...

if a,b and c are in A.P then prove that, (b + c), (c + a) and (a + b) are also in A.P ...

tangents AP and AQ are drawn from A(1,2) to the circle x2 + y2 + 4x + 2y +1 = 0. then the equation of the line joining the mid points of AP and AQ.? ...

2 distinct chords drawn from the point (p,q) on the circle x^2 + y^2 = px + qy. pq≠0. are isected by the x axis then P.T. p^2 > 8Q^2 ...

c1 is a circle of radius 1 touching the x axis and the y axis. c2 is another circle of radius > 1 and touching the axes as well as the circle c1. then the radius of c2 is ...

IF cos(a-b), cos(a) and cos(a+b) are in HP find cos(a)sec(b/2) ...

P(x) is a quadratic such that (1) its leading coefficient is 1 (2) P(x) and P(P(P(x))) share a root. Then prove that P(0)*P(1)=0 ...

If A2 - A+ I =0 then the inverse of A is 1. A+I 2.A 3.A-I 4.I-A ...

Since I am posting after a long time , I am starting with a very elemental problem which is in fact incorrectly solved in Arihant ............... But I loved solving it ........... Find the number of 2 numbers " x " and " y " ...

how to take the intersection of these three inequalities 1> 6x^2 - 5x + 1 < 0 2> 3x^2 + 2x - 1 > 0 3> 2x^2 + x - 3 < 0 please help i m muddledersection of these three inequalities 1> 6x^2 - 5x + 1 < 0 ...