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can anyone suggest me which text book i should for organic. i am very weak in it. ...

a,b,c are positive reals with abc=1 Prove that (a+(1/b)-1)(b+(1/c)-1)(c+(1/a)-1)≤1 ...

we all know that 0<={x}<1 .. is also, 0<={-x}<1????? i think yes... but saw recently in a practice paper whch says the reverse,,...!!! MAY DAY!! ...

please post your methods so that we can have a good discussion its not a difficult one Prove that \frac{\sin ^{3}a}{sinb}+\frac{cos^{3}a}{cosb}\geq sec(a-b) for all 0< a,b <Ï€/2 ...

There is a cone as shown in the fig. A chain of mass m and length l is placed on it( darkened in fig) The cone is now rotated wid Ang velocity ω. Find the tension in the chain.The half angle of the cone is thita(@ in diagram ...

waht is the realation between T1 and T2 *Image* ...

Lim ( n → infinity) { (1/2) tan x/2  + (1/22) tan x/22 + (1/23) tan x/23 .............+(1/2n)tan x/2n) } ...

how will the implementation of the increase in seats be done by the iit this year....??? ...

FIND THE FORCE OF ATTRACTION ON A PARTICLE OF MASS m PLACED AT CENTREA OF A SEMICIRCULAR WIRE OF LENGTH L AND MASS M ...

Prove that 2mn> mn as well as nm Find the shortest proof. HINT : this is in syllabus oops sry, condition: n,m>0 and ε N ...

i dont know where to post this...modern or mechanics section... a good test of ur relativistic skills.. Consider a hypothetical experiment in which an electron gun fires negatively charged particles(electrons) at rate of 10^9 ...

a spool is pulled by a force in vertical direction as shown in figure.what is the direction of friction in this case?the spool does not lose contact with the ground. *Image* [prove mathematically] ...

*Image* ...

If all the particles of a system lie in a cube,is it necessary that the CM be in the cube ?? I thinks the ans shud b NO. ...

A SOLID SPHERE OF MASS M AND RADIUS R IS HIT BY A CUE AT A HEIGHT H ABOVE THE CENTRE.FOR WHAT VALUE OF H WILL THE SPHERE ROLL WITHOUT SLIPPING? ...

find the time period of a simple pendulum whose length is comparable to the rarius of th earth.... y is it not 2pi√(l/r)? ...

a cubical block of mass m and edge a slides down a rough inclined plane of inclination @ with a uniform speed.find the torque of normal force acting on the block about its centre. ...

Q1. A spherical shell is heated. The volume changes according to the equation Vθ=V0(1+γθ). Does the volume refer to the volume enclosed by the shell or the volume of the material making up the shell or both? Q2. Does the t ...

N identical cells of emf E and internal resistance R are joined in series to form a closed circuit. One cell A is joined with reverse polarity. V across each cell except A is : a) 2E/N b) (N-1)E/N c) NE/(N-1) d) (N-2)E/N ans ...

the molar volume of liquid benzene density = 0.877 g/ml increases by a factor of 2750 as it vapourises at 20°C and that of liquid toulene density = 0.867 g/ml increases by a factor of 7720 at 20°C . A solution of benzene an ...

THE VALUE OF LIM ( N→ INFINTIY ) (N ! / NN)(2N4+1)/(5N5+1) IS A. 1 B. 0 C. e-2/5 d. e2/5 ...

The charge on a proton in + 1.6 x 10-19 C and thaton an electron is -1.6 x 10-19 C. Does it mean that the electron has a charge 3.2 x 10-19 C less than the charge of the proton ? The ans looks like it is YES,,but i dont think ...

let f(x) and g(x) are two differential functions and the limit of the function lim ( n → infinity ) { (x2nf(x) + x 100g(x))/(x2n +1)} exists at x= 1 , then the equation f(x)=g(x) has a. at least one real root in (0,2) b. no ...

There exists a sequence such that i)a1=a ii)a2=b and an+2=(an+1+an)/2 n≥0 ; Find limn->∞ an ...

Q) Two rectangles are given.The Area of the 1st rectangle is double the area of the 2nd rectangle.The Perimeter of 2nd rectangle is double the perimeter of the 1st rectangle.Then Find the Sides of the 2 rectangles? Plz give t ...

limn→∞(nαsin2n!/n+1), where 0<α<1 ...

which is more acidic methanol or water ?? ...

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Given a,b,c, are positive reals with abc=1 Prove that 1/a^3(b+c) + 1/b^3(a+c) + 1/c^3(a+b) \geq 3/2 ...

i am not sure wether u can say as to it is in jee syllabus or not but kindly post your thoughts and methods so that we can have a good discussion find all polynomials f satisfying f(x)f(-x)=f(x^{2}) ...