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Hi, Is anybody willing to pass on some good AIEEE material? I live in Chennai. Thanks For ur time[1] ...

which is the best test series for iit ...

TEST THE CONVERGENCE OF THE SERIES ..... show stepwise : *Image* ...

Lt x→∞ nCx(m/n)x(1-m/n)n-x =? ...

The largest value of 2x3 -3x2-12x+5 for -2≤x≤4 occurs at x equals A. -2 B. -1 C. 2 D. 4 By normal maxima calculation im getting B,but ans given is D. ...

A train running from station A to station B,has 11 stations in,between as halts.Nine persons enter the train during the journey with nine different tickets of the same class. I)The total no of different sort of available tick ...

By mistake it was in article :P What is the remainder when (32008+72008+2008) is divided by 29 He knows the answer but want the solution... ...

Q.1) If A and B represent complex number z1 and z2 in the argand plane,then how r the slope and complex slope of AB is defined ? To find the line perpendicular to a line: az' + a'z + b = 0, is the slope or the complex slope c ...

Find maximum value of 1/b+c +b/c+a +c/a+b for a,b,c≥0 ...

Ques1) Find the point of inflexon of (x-5)55 (x-6)66. Ques2) Show that the extremum value of the function f(x) = (Sin-1 x) 3 + (cos-1 x)3 (-1<x<1) is \pi 2/ 32. Ques3) Find the least value of the expression 2log10x - lo ...

Suppose that f is differentiable function with property f(x+y)=f(x)+f(y)+x2y and Lt x→0 f(x)/x =0 Find the value of f'(10) ...

A uniform rod is made to lean between rough vertical wall and the ground.Find the least angle at which rod can lean without slipping.coefficient of friction between rod and wall is 1/2 and rod and ground is 1/4 ...

Suppose tr=12+22+........+r2 let t1+t2+........+tn=1/12 n(n+1)(n+2)k Find value of k , ...

in a cyclotron if we accelerate an electron its mass begins to increase according to the formula→M=M initial/√1-v2/c2....so if v electron →c...then the mass of the electron →infinity....but how can a particle with inf ...

Let an=1111..............11 n times The remainder when a124 is divided by 271 is ?? ...

If the molecules were not allowed to collide with each other, would you expect more evaporation or less evaporation? ...

Q1 Let an=∫(1-cos2nx)/1-cos2x ,then a1,a2,a3 ...are in where limits of integration are 0 to π/2 Q2 Let an=∫sin2nx/sinx dx for all n≥0 and bn=an-an-1 for all n≥1.The sequence b1,b2,b3.. is in ??? where limits of integ ...

Ques1) The first term of an A.P of conseutive integers is P2 +1. Show that the sum of (2P+1) terms of this series can be expressed as { P3 + (P+1) 3 } . Ques2) Show that the number of numbers lying between 100 and 500 are div ...

lim x→0 (1cosec2x+2cosec2x+3cosec2x+....Ncosec2x)sin2x=????? ...

how can you make 6 by using three 1s? ...

Could you please tell how to find the period of the following function? f(x) = cos(2tanx)/2 + cos(2cotx)/2 ...

Ques1) A clothesline hangs between two poles. No matter how tightly the line is stretched, it always sags a little at the center. Explain why. Ques2) A block rests on an inclined plane with enough friction to prevent it from ...

The masses and radii of earth and moon are M1, R1 and M2, R2 respectively, their centres are r distance apart, find minimum speed with which particle of mass m should be projected from a mid way between 2 centres so as to esc ...

1)Consider a differentiable function f:R→R which satisfies f2(x/ 2 )=f(x) for all x belongs R and f(1)=2. Find f(x)? 2)Let f be a real function whose derivatives upto third order exist and for some pair a,b belongs R,a<b ...

the oxidative ozonolysis of acetylene yields .......?(clue: there are 2 products) ...

For any integer k>1, prove that there is exactly one power of 2 having exactly k digits with leading digit 1 (when written in decimal system). ...

Find the integral solutions to the equations [x][y]=x+y. Show that all the non-integral solutions lie on exactly two lines. What are these lines?? ...

IN THE WEBSITE,ASSIGNMENTS ARE WRITTEN EVERYWHERE,BUT HOW TO ACCESS THEM?PLEASE TELL ME THE WAY TO CORRECTLY USE THIS SITE. ...

I want to toast Nishant Sir for opening a section for 9th-10th students. It is a superb move and should prove pretty useful I had proposed some such thing in goiit.com and it was totally ignored. The Olympiad section is anywa ...

In which type of questions, is it more useful to take a-3d, a-d, a+d, a+3d over a, a+d, a+2, a+3d same with a-d, a, a+d over a, a+d, a+2d same with a/r, a, ar or a/r3, a/r, ar, ar3 Not a thing that is out of the world but I t ...