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What sthe remainder when 32^{{32}^{32}} diviided by 7 ??? ...

prove that the value of log25 lies between 3/2 and 7/3 ? ...

if tension in sonometer wire is increases by 20%...the frequncy of the same mode of vibration increases by ??? i am gettign 10% but answer is 14% plz point out my fooolish mistake ...

The trajectory of a body with 2 simultaneous,perpendicular oscillations is determined by x=a sin(pωt) y=b sin(qωt+φ) where x and y are projections of body displacement on X and Y axis. For simpicity let us assume pω=qω=Ï ...

Ques1) Rubber has a negative average coefficient of linear expansion. What happens to the size of a piece of rubber as it iswarmed? Ques2) An inflated rubber balloon filled with air is immersed in a flask of liquid nitrogen t ...

The loudest painless sound produces a pressure amplitude of 28 Nm-2.Calculate the intesity of this sound at STP. density air=1.3 kg m-3,speed sound=332 m/s ...

Ari, the king of Egypina, is very vain Wishes all his soldiers be called by his own name! Dexter, his minister, finds this ludicrous, And to the relief of the soldiers, Manages a fine bargain. “Your highness, all soldiers w ...

Prove that \frac {C_0}{x}- \frac {C_1}{x+1}+ \frac {C_2}{x+2} -......+(-1)^n\frac {C_n}{x+n}=\frac {n!}{x(x+1)..(x+n)} ...

Prove that \frac {C_0}{n}- \frac {C_1}{n+1}+ \frac {C_2}{n+2} -......+(-1)^n\frac {C_n}{2n}=\frac {(n!)(n-1)!}{(2n)!} ...

(1)if f'(0)=0 and f(x) is a differentiable and increasing function then \lim_{x\rightarrow 0}\frac{xf'(x^{2})}{f'(x)}= (a) is always 0 (b) may not exist as LHL may not exist (c) may not exist as RHL may not exist (d) RHL is a ...

Here is a great problem for the olympiad pursuers -- as far as I think-- Ptove that every positive integer can be written as the sum of not more than 48 integers , each raised to the power 4 and zeroes are excluded. ...

Find coeff of xnyn in expansion of [(1+x)(1+y)(x+y)]^n ...

Another olympiad stuff -- If a+b+c=0; find ( b-c/a + c-a/b + a-b/c ) ( a/b-c + b/c-a + c/a-b ). ...

(A)Say whether true or false and give valid explanation: 1) Iodine does not react with CH4 at all 2)The energy of activation of Cl.+CH4 → HCL + CH.3 is smaller than that of Br.+CH4 → HBR + CH.3 (for clarification: here th ...

*Image* Find the flux of the charge q through the upper cap of the cylinder....!!!. (the charge q is kept on the bottom surface of the cylinder....) assume the height to be h and the radius to be r ...

In (1 + x + x2 + 2x3 + x4 + x5 + x6)n the coefficient of x4 is?????? ...

Please show that for a perfectly elastic head on collision of a ball of mass 'm' with another ball of mass 'km' , initially at rest , the energy lost by the former is maximum when k = 1. ...

find the equations of tangents to the curve y2-2x3-4y+8=0 from the point (1,2) ...

Measurement of two masses is reported as 14.8g and 8.04 g. The difference between them should be..?? ...

Didnt want to make the previous thread tooo long..http://targetiit.com/iit-jee-forum/posts/inequalities-sikhna-chahte-ho-to-sikho-varna-koi-b-11546.html so new questions in new thread... This is season 2 of "Inequalities Sikh ...

What is that? Nishant bhaiya remove it pls! ...

Consider the differentiable function f(x) defined implicitly by the eqn y^3-3y+x=0 in the interval (-\propto ,-2)\bigcup{(2,\propto) } Given f(-10\sqrt{2})=2\sqrt{2} find f''(-10\sqrt{2}) ... A small hint will do....i mean wi ...

Multiple Option correct 1 mole of a monoatomic gas undergoes a thermodynamic proces such that V^3=kT^2 where 'k' is a const.- and the other symbols bear the usual meanings. 1) Work done by the gas is 200R when temp is raised ...

Q1Prove log_e[(1+x)^{1+x}.(1-x)^{1-x}]=2[\frac {x^2}{1.2} + \frac {x^4}{3.4} + \frac {x^6} {5.6} +..\infty] Q2 If n≈N then show that \sqrt {\frac {N}{n}}=\frac {N}{n+N}+\frac {n+N}{4n} what is most appropriate proof for thi ...

A disc of cork floating on water dips by 5mm when a lump of metal of negligible vol is placed on its top surface. If the same lumpof metal is attached to its bottom surface, the disc will dip A by 5 mm B by greater than 5 mm ...

*Image* given statement: y-component of velocity of M is u1 cosθ1 + u2cosθ2 ans is given as false why?? ...

plz scroll down ...

let P[x] = x3 - rx + r + 11 be a polynomial , where r is a +ve integer . Let r vary [Q1] the no . positive integral solutions of p[x] = 0 are [a] 6 [b) 3 [c] nil [d] infinitely many [Q2] the sum of all +ve integral roots of p ...

Prove that 2[\frac {1}{2n^2-1} + \frac {1}{3(2n^2-1)^3}+\frac {1}{5(2n^2-1)^5}+..........]=\frac {1}{n^2} +\frac {1}{2n^4} +\frac {1} {3n^6} +.........=2log_en-log_e(n+1)-log_e(n-1) ...