Recently Active Algebra Questions

a bag contains 5 white and 9 black balls 3 balls are drawn twice . balls are replaced before the second draw. what is the prob that in the first draw 3 white and in second draw 3 lack balls will be drawn ...

The no. of ways in which n distinct balls can be put into n distinct boxes so that exactly one box remains empty...is??? ...

If a,b are 2 different positive no. then prove that I) A.m ,G.m ,H.m are in G.p (II) A.m > G.m> H.m Plz... Guide me guys ...

find the amplitude of 1+\frac{\sqrt{3}i }{\sqrt{3}+i} ...

find the last 3 digits of 17to the power 256. ...

The number of ordered pairs (a,b) such that the equations ax+by=1 and x2 +y2 =50 have all solutions integral ??? ...

Q If 1,logyx,logzy,-15logxz are in A.Pthen (a)z3=x (b)z3=y-2 (c)z-2=y (d)none of these ...

1)find the value of\sum_{r=1}^{k}{(-3)^{r-1}}}3n_{C}_{2r-1} where k=3n/2 and n is an even positive integer. ...

The square of a 8*8 chessboard are randomly painted either red or black,what is the probability that a randomly chosen 2*2 square contains 2 black and 2 red squares? ...

Let A = \left\{1,2,3 ... 10 \right\} and B = \left\{1,2,3 ... 20 \right\} A function is chosen randomly from A to B,what is the probability that it is non decreasing? ...

\frac{(x-1)^{2}}{x} = -1 and p = \frac{x^{16000}+1}{x^{8000}} , find p ...

if x2 -xcos(A+B)+1 is a factor of the expression 2x4+4x3sinAsinB-x2( cos 2A+cos 2B)+4xcosAcosB-2 Then find the other factor. ...

2 friends would come and stay for 15 minutes.. between 5 to 6 PM. what is the probability that they will meet?????? ...

A point is selected at random inisde a circle.Find probablity that it is farther from centre than to its circumference ...

three points are chosen from the interval [0,1].FÄ°nd the probability of choosing these points such that the longest distance betweeen two points is <= 1/2 ...

let a,b,c,d be real nubers each greater than 1. prove that 8(abcd+1) > (a+1)(b+1)(c+1)(d+1) ...

Q1 Let the roots of f(x)=x be α and β where f(x) is a quadratic polynomial. It is true that α,β also satisfies f(f(x))=x. Let the other roots of the eqn. f(f(x))=x be γ and δ. Now Correct statements are: a) If α β are ...

On the request of grandmaster.....writing some inequalities here which are no way necessary for JEE but can just reduce ur work The Cauchy-Schwarz Inequality (x1² + x2² + x3²)(y1² + y2² + y3²) ≥ (x1y1 + x2y2 + x3y3)² ...

A few number of cards were thrown away from a pack of 52 cards. What is the probability that 26 cards were thrown away? ...

The last digit of (2137)754 is..... plz help me ...i dunno how to solve this kinds of question....[2] i want to learn this type.... ...

bhai log.........yahaan madad ki jiye........ye sabhi maine pehle kiye the par ab ho nahin rahe........... The eqn zn-1 has n roots which are called nth roots of unity.These n roots are 1,α,α2,..........αn-1 Q1 find value ...

\frac{\sum_{r=0}^{k-1}{x^{2r}}}{\sum_{r=0}^{k-1}{x^r}} is a polynomial, p and q are any 2 values of k then the roots of the equation 3x^2 + px + 5q = 0 can not be A)Real B)Imaginary C)Rational D)Irrational ...

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The no of ways 3 persons can distribute 10 tickets out of 15 consecutively numbered tickets among themselves such that they get consecutive blocks of 5,3 and 2 is? Ans:8C5 * (3!)2 ...

Q.1 IF 3 FAIR DICES ARE THROWN TOGETHER ,THE PROBABILITY THAT THE SUM OF THE NUMBERS APPEARING ON THE DICE IS K ,WHERE3<=K<=8 Q.2 THE PROBABILITY THAT A RADAR WILL DETECT AN OBJECT IN ONE CYCLE IS P . THEN THE PROBABILI ...

Q.1 TWO DICES ARE THROWN SIMULTANEOUSLY.THE PROBABILITY OF OBTAINING A TOTAL SCORE LESS THAN 11?? Q.2 SIX DICES ARE THROWN AT ONCE THEN PROBABILITY THAT ALL SIX DICES SHOW DIFFERENT FACES IS??? ...

a is a complex no. such that a^{2}+a+\frac{1}{a}+\frac{1}{a^{2}}+1=0 a^{2m}+a^{m}+\frac{1}{a^{m}}+\frac{1}{a^{2m}}+1= ? where m is +ve integer ...

A permutation of n objects is a 1-1 function from A={1,2,.................n} to itself.If a1,a2,a3.......ak are n distinct elements of A such that a function f sends a1 to a2,a2 to a3 , .......... ak-1- to ak and ak to a1, th ...

Find the number of 2-subsets of the set {1,2,.....10} , sum of whose elements is divisible by 3. ...

\text{The number of prime numbers among the numbers 105!+2 , 105!+3, 105!+4,....105!+104 and 105!+105 , is} ...