Recently Active Algebra Questions

for real x,the function (x-a)(x-b) will assume real values provided x-c (A) a>b>c (B)a<b<c (C) a>c>b ( D) a<c<b please xplain logic... ...

1. a box contains 8 pairs of shoes. if 4 shoes are selected at random then find the probabilty that exactly one pair of shoes is selected?? 2.neha's tv has only 4 channels; all of them quite boring,hence it is not suprising t ...

(1) A bag contains 4 balls. Two balls are drawn at random and are found to be white. What is the probability that all balls are white? ...

How many terms are perfect square in the sequence 4,44,444,4444,44444............................ and why? give the appropriate reason also ...

S = 1.3.4 + 4.5.5 + 7.7.6 + 10.9.7 + .............. Find sum to n terms ??? (In terms of n) I have a method but want some time saving one So post ur methods ...

I want the expansion of different expressions like 1/(1-x) sq. root of above then, √1-a2x2 etc.... if u hav good link for this kind of expansions, pls post here... ...

Saw this in some coaching institute material. Its easy, but their method seemed tedious. Lets see how targetiitians fare: x,y \in \mathbb{R} and x+iy = \frac{3}{\cos \theta + i \sin \theta+2} Evaluate 4x-x^2-y^2 ...

two numbers 'a' and 'b' are selected at random from the set {1,2,3,4,5............3n}. find the probabilty that a2-b2 is divisible by 3 ...

A bag contains 5 balls of unknown colour. A ball is drawn and replaced twice , and in each case it is found to be red.: if two balls are drawn simultaneously .find the chances that it is red. ...

prove that (k-1)2=(n-1)2+(m-1)2+(f-1)2 have infinitely many solutions when all the variables are natural numbers[1] hey forgot one constraint they r distinct for obvious reasons.....[1][1] ...

Q1. Let \LARGE\!\phi (x) = sinx\int_{0}^{x}{costdt} + 2\int_{0}^{x}{tdt} + cos^2x - x^2 . If \LARGE\!x^2 - 2x +3 \geq \phi (x) \vee x\epsilon R, then greatest area bounded by xφ(x) and coordinate x=0 and x=5 is (a) 16 (b) 25 ...

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PLZ SOLVE If all the distinct roots of the equation x^{47}+2x^{46}+3x^{45}...........+24x^{24}+23x^{23}....................2x^2+x=0 are z_1,z_2.......z_k and imaginary part of z_k^2 is b_k Then find the value of \left|b_1 \ri ...

For each natural number k, let Ck denote the circle with radius k cm, and centre at the origin. On the circle Ck, a particle moves k cm in counterclockwise direction. After completing its motion on Ck, the particle moves to C ...

Para: Let a,b,c are complex numbers and the roots of the equation z3+az2+bz+c=0 are unimodular Q1. The value of |a|-|b| = (ans got =0) Q2. The number of distinct real roots of the equation z3+|a|z2+|b|z+|c|=0 is (a) 1 (b) 2 ( ...

On an average out of 12 games of chess played by A and B, A wins 6, B wins 4 and 2 games end in a tie. A and B play a tournament of 3 games. Calculate the probability that A and B win alternate game, no game is tied up. ...

roots of the equation x4+4x3-8x2+k=0 when 1. k = [0,3],are a) all real. b) two real two complex. c) no real. d) none. 2. k = (3,4],are a) all real. b) two real two complex. c) no real. d) coincident. 3. k = (-inf,0),are a) al ...

Suppose n (≥3) persons are sitting in a row. Two of them are selected at random. The probability that they're not together is a) 1-(2/n) b) 2/(n-1) c) 1-(1/n) d) 2/(n+1) ...

The sum of solutions of the equation sinx = x2 - 7x + 12 is k which can be expressed as the product of two prime numbers. The sum of primes is equal to -----. INTEGER ANS TYPE ...

two numbers a and b are chosen from the set {1,2.......25}. the probability that a4-b4 is divisible by 5 is? ans: 2/3 ...

1)the mean and the variance of a binomial distribution are 4 and 2 respectively.then probability of 2 successes is a)37/256 b)219/256 c)128/256 d)28/256 2)n persons sit on a round table. the odd two against two specified pers ...

Find all the positive integers ' n ' for which \sqrt{n-1}+\sqrt{n+1} is rational. ans---------------> no positive integers ...

What is the difference between cos and cis ?????? ...

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DO U KNOW THAT WORLD'S LARGET KNOWN PRIME NUMBER IS \left( 2^\left( 13466917\right)\right)-1 ...

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The probability that out of 10 children, all born in February 2005, at least two have the same birthday is : ........... ans---------> don't know help me. full soln . please ...

From a chess board containing 54 squares of unit length each colored black and white ,rectangle of any size is chosen Q1 If selected rectagle is square the n probablity that in selected square no. of black squares isnt equal ...

A bag contains 4 white balls and 5 black balls : a second bag contains 3 white and 4 black balls: and a third has 5 white and 4 black balls. A ball is randomly picked from the first bag and put in the second: then another bal ...

\texttt{The number of natural numbers between 1 to 2000 such that sum of digits of their sqaures is eqaul to 21} ...