Recently Active Algebra Questions

if f(x-f(y))=f(f(y))+xf(y)+f(x)-1...........find f(x)...... ...

iif d roots of d equation z^2+az+b=0 are imaginary then find d condition on a ,acon ,b,b con tell me d way 2 saolve such q's plez b quick :'( ...

Find common roots of equation z3+2z2+2z+1=0 and z1985+z100+1=0 ...

Someone walks into your room and dumps a huge bag of coins all over the floor so that no coins are on top of any other .A robot then comes into the room and is programmed such that if it sees a head, it flips it to tails. if ...

if z is a complex no lyin in d foruth qudrnt of d argnd plane and mod (kz/(k+1) +2i) > 2 for all eal values of k (k=!-1) then d range of arg(z) is ...

If alpha, beta are the roots of x2+px+q=0 and also of x2n + pnxn + qn = 0 and if α/β, β/α are the roots of xn + 1 + (x+1)n = 0 , then prove that n must be an even integer. ...

There is a factory of gold in which there are 4 machine each machine produce 100 gm gold coin. one day suddenly due to technical prob. in machine one machine start making coin of 90 gm instead of 100 gm PROBABLITY OF finding ...

if z is a complex number then the greatest value of z which satisfies the equation modulus(z-12)/modulus(z-8i)=5/3 and mod(z-4)/mod(z-8i)=1 is a.10 b.10√13 c.12√5 d.none of these. ...

no. of real solution of 2x/2+(√2+1)x=(5+2√2)x/2 is ...

4. Find the coefficient of x^n in the expansion of (1+x/1!+x^2/2!+ ...........x^n/n!)^2 ...

Numbers are selected at random one at a time,from the numbers 00,01,02,...99 with replacement.An event E occurs if and only if the product of the two digits of a selected number is 18.If 4 numbers are selected ,then the proba ...

find sum *Image* ...

In a troop of 2008, 12 are on patrol duty every night. prove that it is impossible to draw up a schedule according to which every two are on duty exactly once ...

represent z and wz on argand plane ......................where w=omega=cube root of unity ...

find a complex number satisfying modulus(z-5i)=4 and having least argument ...

Let z be a complex number .Then angle between z and -iz=.......... ...

-8-6i = ...

real roots of the eqn 7log7(x2-4x+5)=x-1 are ...

x3n+y3n is divisible by x+y if (a)n is an integer n>=0 (b)n ia odd positive integer (c)n is even positive integer (d)n is rational ...

the no. of values of the pair (a,b) 4 which a(x+1)2+b(x2-3x-2)+x+1 is an identity (a)0 (b)1 (c)2 (d)∞ ...

3)a sum of money is rounded off to d nearest rupee d rob that d roundd off error is at most 10 paise is ? ...

2)a natural no x ischossen at random frm dfirst 100 natural nos . d prob that x+100/x>50 is ? ( here if we take ne no gr8tr then 50 then it satisfies d given condition in addition to this if we take 1,2,48,49 it safist ...

1) A mapping is selcted at ranodm frm d set of all d mappings of d set A={1,2,3.....n} into itself .d probabbility that d mapping selcted is one to one is ? ...

A five-rupee coin,3 two-rupee coins & 2 one rupee coins are stacked together in a column at random. The probability that the coins of the same denomination are consecutive is ...

the no. of values of triplet (a,b,c) 4 which acos2x+bsin2x+c=0 is satisfied by all real x ...

How many six digit numbers can be formed from 0,1,2,....8,9 such that,every number contains exactly 3 distinct digits ...

if 1,a1,a2 ......an-1 are n roots of unity then the v alue of (1-a1)(1-a2)...(1-an-1) is ...

if one root of the eqn ax2+bx+c=0 is reciprocal of one root of eqn a1x2+b1x+c1=0 then relation b/w a,b,c and a1,b1,c1 ...

if α,β are roots of x2+px+c=0 and α4,β4are roots of x2-rx+s=0 then the eq x2-4qx+2qr-r=0 has which type of roots given p,q,r,s ε R ...

let x1,x2 be the roots of the eq x2-3x+p and x3,x4 be the roots of the eq x2-12x+q =0,then no's x1,x2,x3,x4 are in G.P then value of p,q ...