Recently Active Mathematics Questions

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 ...

1 Prove that ∫ (1+x)(1+x3) dt cant exceed 0 15/8 ...

x If f(x) is continuous function with ∫ f(t)dt →∞ as mod(x)→∞ then 0 show that every line y=mx intersects curve x y2+∫ f(t)dt =2 0 ...

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 ...

if a triangle is inscribed in a rectangular hyperbola,then which one of the following is on the curve? 1)centroid 2)incenter 3)orthocenter 4)circumcenter ...

Find all the values of parameters a(a≥1) for which the areaa of figure bounded by pair of straight lines y2-3y+2=0 and curves y=[a]x2 ,y=[a]x2/2 is greatest..... where [ ] is GINT ...

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 ...

plot 1) xy=a(x+y) 2) x+y ≥x, y≤2 ...

FInd area enclosed by circle x2+y2=4 ,parabola y=x2+x+1 ,curve y=[sin2(x/4) +cos(x/4)] and X axis where [ ] is GINT ...

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) ...

plot logmod(sinx)y>0 explain tooooooooo ...

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. ...

lim (n!/(mn)n)1/n, (m ε N) is equal to????? n→∞ ...

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

1)[x]+[y]=x 2)y=[x]-[x-(1/2)] 3)[x+y-2]-[x-1]=0 where [ ] is GINT Explain the steps toooo ...

For any real t ,x=2+[(et+e-t)/2], y=2+[(et-e-t)/2] is a point on hyperbola x2-y2-4x+4y-1=0.Find area bounded by hyperbola and the lines joining the centre to the points corresponding to t1 and -t1 (Plz dont solve ...

area of triangle formed by the lines x+y=3 and angle bisector of pair of straight lines x2-y2+2y=1is? ...

let ABCD be a quadilateral with area 18 ,with side AB parallel to CD and AB=2CD.let AD be perpendicular to AB and CD.if a circle is drawn inside the quadilateral ABCD touching all the sides, then its radius is ...

Find area bounded by 2 branches of curve(y-x)2=x3 and the line x=1 ...

how to draw graph of y≥[sin(πx)]/4 ...

Find area enclosed between y=lnx,y=ln(mod(x)),y=mod(ln(x)),y=mod(ln(mod(x))) ...