Recently Active Mathematics Questions

Sorry double post correct link: http://targetiit.com/iit_jee_forum/posts/passage_on_matrices_2327.html ...

1. all the roots of the equation 11z^10 + 10 iz^9 + 10 iz -11 = 0 Lie a> inside |z| = 1 b> on |z|=1 c> outside |z|=1 d> cant say :P 2. 271 should be spilt in to how many parts so as to maximise thier product a> ...

THIS WAS A COMP TYPE QUESTN SO OBVIOUSLY HAD 3 QUESTNS.... I HAD POSTD JUS DA FIRST ONE THINKIN MAYB SUM1 WILL GET THE FUNCTN f(x) but Anurag has come up with a real novel solution so i am forced to post da 2nd and da 3rd que ...

Q.1 If |z|=1 then prove that complex number denoted by (1+z)/(1-z) always lie in either of the two fixed perpendicular lines.. Q.2 If z1+z2+z3=0. then prove that the angle between any two pair of complex number is greater tha ...

How many squares are ther in a chess board????? ...

find all functions f:R+→R+ such that f(x+f(y))=f(x+y)+f(y) for all x,y belonging to R+ ...

If mod(z)=1, then prove that the points represented by√(1+z)/(1-z) lie on one or other of two fixed perpendicular lines ...

da pblm is 25n+1/4 { 2x+3} let f(X)=∫ e dx , where {x}denotes da fractional part ...da qn is easy but i dunno wer i went wrong 3 ...

ITS A COMPREHENSION TYPE QUESTN *Image* *Image* answer : coming soon..... ...

if 1/x3(x+2) = A/x+B/x2+C/x3+D/(x+2) then value of |1/A 1/B | |1/D 1/C | ...

PROVE THAT The external center of similitude of three circles are collinear. ...

Today's Question of Open test(FIITJEE AITS) Let f(x) be a polynomial function of degree 4 satisfying.. (1∫xA(t)B(t)dt)(1∫xC(t)D(t)dt)-(1∫xA(t)C(t)dt)(1∫xB(t)D(t)dt)=f(x) where A(x) B(x) C(x) D(x) are non constant cont ...

RANGE OF 16-x C 2x-1 + 20-3x C 4x-5 is (a) [728 , 1474] (b) {728 , 1474} (c) {0,728} (d) none ...

If a+2b+c=4 .... a,b,c ξ R then max(ab+bc+ca)=? ...

f(x,y) = x2-y2+2x+4y-12 ok ? .this is the curve or anything ! [4] NOW, IF r is the radius of the circle which touches the curve f(x,y)=0, y=x+1 and y=-x+3, then the least possible value of 'r' (in units) approximately is WHAT ...

If the roots of the equation x2+ax+b=0 are c and d, then one of the roots of the equation x2+(2c+a)x+c2+ac+b=0 is ??? a)0 b)-2c-a c)d-c d)None of these ...

http://targetiit.com/iit_jee_forum/posts/probablity_again_2003.html the 1st question in this link ...

STRAIGHT LINES ARE DRAWN by joining m points on a straight line to n points on another line. then excluding the given points , find the points of intersection of the lines drawn ...

if a plane lx + my = 0 ________ 1 is rotated about its line of intersection with plane z=0 (which should be same as 1 i think) so the new plane should have a "z" in its equation ?? am i right over here? if no please explain a ...

*Image* Plz. attempt que 2 and que 3 of the comprehension!!!! ...

Q 1. A function f : R->R , find the interval for alpha...such that f is onto........ f(x)=(αx2+6x-8)/(α+6x-8x2) Q 2. If f(x) + f(y) + f(xy) = 2 + f(x)f(y).......for all real x & y.......... f(x) is a polynomial.......f(4 ...

Q3 lim x->infinity [(x+p)(x+q)(x+r)(x+s)]^1/4 - x x SOLN. ([(x+p)(x+q)(x+r)(x+s)] - x4)/([(x+p)(x+q)(x+r)(x+s)]1/4 + x)([(x+p)(x+q)(x+r)(x+s)]1/2 + x2) now divide numerator and deno by x3 this was a soln by NIshant Sir, Si ...

Can anyone pls explain partial fraction........... and give an example ...

what is the angle between lines whose Dr's are given by l+m+n=0 l2+m2-n2=0 i have read this same question 4 places but neither time could i understand what it means .Plz help... ...

2 integers x,y are chosen(with replcement) out of set{0,1,2,.......10}. FInd the probablity that mod(x-y)≤5.......... ...

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(√sec x-tanx/√secx + tanx) this whole under root of (secx - tanx/sec x + tanx) ...

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the set of values of @ if origin lies in the bisector of acute angle between the lines @x+2y-3=0 and x+y+7=0 ...

Evaluate the limit. lim(x→0) (1-cos2x)/sinx ...