Recently Active Algebra Questions

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 ...

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

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 ...

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 ...

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

There are 6 points in a plane such that no 3 are collinear. Each point is joined to another by a coloured line which is either blue or red. Find the minimum no. of monochromatic triangles. ...

*Image* *Image* *Image* Prove that, *Image* ...

in a plane there are 5 straight lines which all pass through a given point , 6 others which all pass through another given point and 7 others which all pass through a third given point. supposing no other three intersect at a ...

out of 8 sailors on a boat, 3 can work only on one particular side and 2 only on the other side. in how many ways can the sailors be arranged on the boat ???? ...

Q8 minimize x4+ 1/x4 +x2+ 1/x2+ x+ 1/x+ x3+ 1/x3 +1 a) 0 b) 1 c) -3 d) 9 Your Answer: (b) Correct Answer: (d) Score: -1 PUT X=-1 AND SEE IT 4 URSELF.......... ...

pie=3.14159265358979323846264338327950288419716939937510 58209749445923078164062862089986280348253421170679 82148086513282306647093844609550582231725359408128 48111745028410270193852110555964462294895493038196 442881097566593 ...

ax1+bx2+cx3+dx4=20 find the non negative integral solns for the the eqn .please explain??? How to find the coefficient of xr term in the expansion of (1+x)-20 ...

a,b,c......,k are positive integers such that a+b+c+....+k≤n, then can we say that n!/(a!b!c!.....k!) is also a positive integer?? solve with proof ...

There r two sets of parallel lines,their equations being xcosα+ysinα=p; p=1,2,3,......m and ycosα-xsinα=q;q=1,2,3,4....n; and n>m wher α is constant. what is the no of squares that can be formed with these lines ...

find the number of ways in which the digits of the number 125453752 can be rearranged such that no two 5's come together ????? ...

A lady desires to give dinner party for 8 guests. In how many ways can the lady select guests for the dinner from her 12 friends, if tow of the guests will not attend the party together??? ...

k is an integer, p is a prime no. such that x2+kx+p=0 has distinct +ve integral roots. Find the value of (k+p). ...

plz tell me if u do get da final ans. i know the type but somehow am missin out on one or da other case!!!!!!!!!!!!! Find the total no of 9 lettered words dat can b formed using da letters of " HINDUSTAN" such that neither of ...

if nine squares are chosen at random on a chess board,what is the probability that they from a square of size 3*3 ...

In a game , a man wins a rupee for a six and loses a rupee for any other number when a fair die is rolled. The man decided to throw a die thrice but to quit as and when he gets a six . Find the expected value he wins or loses ...

x1, x2, x3, ... is defined recursively by x0 = 1, xn+1 = (3xn + 5xn2- 4 )1/2 Show that all these are integers! ...

An urn contains 5red and 3white marbles.A marble is selected at random from the urn, and discarded two. 1)Probability of second marble being red is _____ 2)Probability of both marbles being of the same color_______ 3)Probabil ...

Q21) lim { [x]+[2x]+[3x]...............[Nx] } / N2 N→∞ a) 1/2 b) does not exist c) 1 d) None of these Can sum1 first of all plz tell me if [] in da que denotes gr8est int functn or not??? Then i shall re-try, coz i earlie ...

1)can u please give me a easier proof for the area of parallelogram whose adjacent sides are represented by a→and →b 2)can u please derive me the volume of the tetrahedron using vectors??? ...

A QUE FRM GOIIT........ NO ONE THER CARED TO ANSWER IT..... NICE ONE THOUGH..... A regular polygon with vertices C1, C2, C3,.............Cn-1, Cn are inscribed in a circle with the centre C0 Q.1. If n is a multiple of 6, then ...

*Image* ANS A [0] ATLEAST A HINT PLZZ..... THIS TYPE HAUNTS ME WER WE USE FUNDAMENTALS OF NUMBERS..... ...

*Image* ANS : C (RATIONAL)..... ...

The probablity that sin-1sinx+cos-1cosy is an unteger where x,y ε {1,2,3,4} ...