Recently Active Algebra Questions

zlog(ex+iy)=????? where z≠0 & -π<arg(z)≤π ...

There are n urns each containing n + 1 balls such that the ith urn contains i white balls and ( n + 1 - i ) red balls. Let *Image* be the event of selecting ith urn, i = 1, 2, 3 ..., n and w denotes the events of getting a wh ...

COmplez nos........ (z+1)6 + z6 = 0 P.N. If u get z = -0.5 then pl. chk it by substituting in the Eqtn........ ...

*Image* am NOT GETTING HOW THEY SAY ONE ROOT LYING .. MEANS PLEASE EXPLAIN THOSE LINES ? ...

*Image* ...

if 3a + 2b + c =7 find the minimum value of 100 (a2 + b2 + c2) ? ...

\sum_{n=1}^{2008}\frac{{\sqrt{n^{4}+2n^{3}+3n^{2}+2n+1}}}{n(n+1)} = A) 2008 + 2008/2009 B) 2007 + 2008/2009 C) 2008 + 2007/2009 D) 2008 + 2007/2008 ...

1. FIND ALL VAlUES OF m for which mx2 + (m-3)x + 1 <0 for atleast one positive real x ...

1.) there are four machines and it is known that exactly two of them are faulty. they are tested , one by one , in a random order till both the faulty machines are identified. then the probability that only two tests are need ...

Q1 FInd number of values of z for which ez=0 Q2 Number of values of z for which sinz=0 Q3 Number of values of z for which cosz=0 Q4 What is solution set of sin(iy)=0 ...

In how many wayscan the letters of the word PERMUTATIONS be arranged if there are always 4 letters between P and S ? ...

BINOMIAL THEOREM : *Image* ANS : (2mn -1)/2nm(2^n - 1) ...

given \frac{x}{b+c-a}= \frac{y}{c+a-b} = \frac{z}{a+b-c} prove that \frac{x(y+z)+y(z+x)+z(x+y)}{2(ax+by+cz)}= \frac{x+y+z}{a+b+c} ...

wrong one again ...

wrong post sorry ...

the no. of quation of roots satisfying the equation 2(sinA +cosA)=csin2A c2<8 in the interval [0,2∩] a)0 b)1 c)2 d)3 ...

if |2iz1-z1-z2|/|2iz1+z1+z2| = |cosx-isinx|/|cosx+isinx| then z1/z2 is a)purely real b)purely imaginary c)complex number with real part as positive d) complex number with real part negative ...

S-I if |z1-1|<4 , |z2-2|<5, |z3-3|<6 then |z1+z2+z3|< 21 s-II |z1+z2|≤|z1|+|z2| ...

If α, β,γ are the cube roots of p,(p<0), then for any x,y,z (α*x+β*y+γ*z)/(β*x+γ*y+α*z) is equal to (A) α *ω+β*ω2+γ (B) α*β*γ (c) ω,ω2 (d) none ...

An unbiased die, with faces numbered 1,2,3,4,5,6 is thrown five times and list of five no.s showing up is noted, then... 1) The probability that among the no.s 1 to 6, only four no.s appear in d list is... a) 883/7776 b) 3600 ...

If a1,a2,a3..............an are n postive numbers in arithmetic progression with common difference d≠0 and Sn = a1 + a2 + ... + an a. Sn __ n - 2(√a1 + √a2 +...+√an) (>,<,=,≤,≥ or cannot say) b. 2Sn2 > (n ...

if a1,a2....a2n form a decreasing A.P then a12-a22+a32-a42...............-a2n2= a)n(a12-a2n2)/2n-1 b)2n(a12-a2n2)/2n-1 c)2n(a12-an2)/n-1 d)n(a12-a2n2)/n+1 ...

the number of terms of expansion with reational co-efficients in the expansion of ( 5 + 3 +z)6 is a) 7 b) 6 c)8 d)9 ...

the least value of r for which the two curves argz=-∩/6 and |z+2 3 i|=r have atl;east one point in common is a) 3 b)1/ 3 c)3 d)2 ...

Q. what will be the condition if both roots are negative ? answer given 1. D> 0 2. a f (0) >0 3. -b/2a >0............................. is the 3rd point corect ? i feel it wil be -b/2a < 0.. pls tel me the answer n ...

if x,y,z are positive then minimum value of xlog2y-log3z+2ylog3z-logx+3zlogx-log2y a)1 b)12 c)3 d)6 ...

if A and B are the roots of px2+qx+r=0 where 1<A<B then lim x→n |px2+qx+r|/px2+qx+r =1 when a) p<0 and A<n<B b)p>0 and n>1 c)p<0 and n>1 d)|p|/p=1 and n>A ...

if ( 3 +i)n=2n then n is a) an integral multiple of 12 b)an integral multiple of 5 c)an integral multiple of 8 d)none ...

1)Find the smallest natural number which leaves remainder 4,6,10,1 when divided by 5,7,11 and 13 respectively. 2) xy+yz+zx=1 then prove that (1+x^2)(1+y^2)(1+z^2)=(x+y)^2(y+z)^2(z+x)^2 ...

the coeff of x14 in the product (1-x)(1-2x)(1-22x)......(1-215x) is equal to, given that 1 + \frac{1}{2} + \frac{1}{2^{2}} + \frac{1}{2^{3}}.... + \frac{1}{2^{15}}= a and 1 + \frac{1}{2^{2}} + \frac{1}{2^{4}}.... + \frac{1}{2 ...