Recently Active Algebra Questions

If a rod is marked random at n points and divided at these points,the chance that none of the parts shall be greater than 1/n th of the rod is 1/nn ...

Def : {a} = min (a-[a] , [a]+1-a) '{a}' can be defined as the distance of 'a' to the nearest integer on number line... 6n-1 Find Σ min ({r/3n} , {r/6n}) r=1 ...

If the number of even divisors of 4320 is M then the number of primes less than or equal to M is?? ...

A boy speaks truth 3 out of 4 times. a die is thrown and he reports it as a 6. what is the prob that it is actually a 6......... (i know a NCERT)but plz reply.. [1] ...

Find the all the rational values of x for which (x+x2 +3) is a rational no ...

f(x)=x^n +4; then value of f(1)+f'(1)/1! +f"(1)/2! +..... nth derivatiive ...

if Abcd is a rhombus and m is the pt of intersection of diagnols ,and bd=2ac, d=1+i ,m=2-i, find the pts representing A ...

I'm having trouble with complex numbers.[2] My friends say "Machan, that's one of the easier topics to score in JEE". So I want to improve in that area. Please suggest a few tips for that. [1] ...

i want to check my ans for the question limx→∞((x-1)(x-2)(x-3)(x+5)(x+10))1/5-x is ...

A pack contains n distinct red cards and n distinct white cards.This pack of 2n cards is divided into 2 equal parts at random.A card is drawn from each part at random ...find the probability that both the cards are of same co ...

Solve x1/3+(2x-3)1/3=(12(x-1))1/3 ...

if two regular hexagons are inscribed in a circle of unit radius,the minimum area common to the hexagons is ...

A bag contains coin of value M and a number of other coins whose aggregate value is m.A person draws on at a time till he draws the coin M.Find value of his expectation ...

Some questions on Permutation and combination for revision..... Q.1 Find the no of ways in which a 3 digit number xyz can be formed from the digits {1,2,3,4,5,6,7,8,9} such that x y z are in AP and x≠y≠z. Q.2 The number o ...

No. of integral solutions of x+y+z=0 x,y,z>= -5 ...

If 10 things are distributed among 3 persons,the chance of a particular person having more than 5 of them is 1507/19683 ...

The number of rightangled triangles with integer sides and inradius 2008 is ...

A bird flies on ellipse ax2+by2=1 and z=5 3 and b>a>0 whose essentricity is 1/ 2 .An observer stands at a point P(α,β,0) where maximum and minimum angl of elevation of the birds are 60.and 30. when bird is at ...

Arithmetic,geometric and harmonic mean of the roots of the x2+13x+36=0 are α,β,γ respectively. 1)x1 and x2 are the roots of ax2+bx+c=0, a,b,cεR and α,β,γ lies between x1andx2 δ=mod(x1-x2) then set of all v ...

If x1,x2,x3,....,xk are the divisors of positive integer n. If Σxi=75 then find Σ(1/xi)? [7] ...

n1 and n2 are two numbers which on multiplying with 7 gives a number consisting only five's no number between n1 and n2 exists which on multiplying with 7 gives the same result. Find n1 - n2 ...

67 lines are drawn such that no two of them are parallel and no three are concurrent. Now 68th line is drawn parallel to 67th line. Find the number of regions formed in the plane... [Logical explanation is must] (ans wid expl ...

If α,β,γ are cube roots of p (p<0) then for any x,y,z evaluate: (xα+yβ+zγ)/(xβ+yγ+zα) ...

mod(z-1)≤(mod(mod(z))-1)+mod(z).arg(z) ...

Let z1 and z2 be complex roots of 3z2+3z+b=0.If the origin,together with the points represented by z1 and z2 forms equilateral triangle,then find b. ...

In a group of n people, what is the probability that at least 2 people have the same birthday? ...

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A quadratic equation with integral coefficients has two prime numbers as its roots. If the sum of the coefficients of the equation is prime then the sum of the roots is - ? Post the method also ...

if α, β, γ, δ are four complex numbers such that γ/δ is real and αδ - βγ ≠0, then z = (α+βt)/(γ+δt), tεR represents a a) circle b)parabola c)ellipse d) straight line e) hyperbola. Please answer this quest ...

if a,b,c are in A.P p,q,r are in H.P and ap,bq,cr are in G.P THEN PR+RP IS (1) AC-CA (2) AC+CA (3) BQ+QB (4) BQ-QB ...