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\lim_{0}(tanx/x)^{1/x^{2}} (x is tending to 0) ...

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25 ml of a gaseous hydrocarbon having the same rate of diffusion as nitrogen,and methane effuse through a hole in 173 min,while the same volume of nitrogen effuses in 200 min under the same conditions calculate the contractio ...

A gas in an open container is heated from 27°C to 127°C.The fration of the original amount of the gas remaining in the container will be: (a)3/4 (b)1/2 (c)1/4 (d)1/8 ...

let f(x) be such that f(xy)=f(x)f(y)....if f(x) is continuos at x=1,show dat f(x) iscontinuous at all x ≠0 ...

What is a normal to a circle ???????? ...

what are the possiblle waysto prepare ester?????????????? ...

Q Solve \lim_{x\rightarrow 0}\frac{sin\frac{1}{x}}{\frac{1}{x}} ...

Ans is coming but method is very long.. is there any shorter method ?? x3 + y3 = 3axy P.t d2y/dx2 = 2a2xy/(ax-y2)3 ...

1)Consider a solid cube of uniform charge density.What is the ration of the electrostatic potential at a corner to that at the center?(Take the potential to be zero at infinity) 2)A motorcyclist wishes to travel in a circle o ...

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Six people sit around a circular table. In how many ways can three pairs of people shake hands so that no arms cross (nobody shakes hands with two people at the same time)? ...

hey guys plz post the most useful methods to solve resistros n capacitor problem 1st one delta to star..to study chek the link http://en.wikipedia.org/wiki/Y-Δ_transform keep posting the methods ...

Ques1) Let f p (@ ) = (cos@/p2 + i sin @ / p2). (cos 2@ / p2 + i sin 2@ / p 2 )...................................(cos@ /p + i sin @/p). Then lim n→∞ [|fn(2 ∩ )|] is equlas to , where [.] denotes greatest integral funct ...

Prove that tan-1( 1+x - 1-x )/( 1+x + 1-x ) = π/4-1/2 Cos-1x 0<x<1. ...

integrate dx/((x^2) (1+(x^4))^3). ...

A coin has probability p of showing head when tossed.It is tossed n times.Let pn denote the probablity that no two(or more) consecutive heads appear. Prove taht pn=(1-p)pn-1 +p(1-p)pn-2 for n≥3 ...

Why BCl3 does not form dimer unlike AlCl3? ...

Two men start to travel along the equator from the same point at the same time in the same direction with velocities of R/1000 m/s and 2R/1000 m/s respectively. If R is the radius of the earth along the equatoral plane, Find ...

9. A variable line, drawn through the point of intersection of the straight lines x/y + y/b = 1 & x/b + y/a =1, meets the coordinate axes in A & B. Show that the locus of the mid point of AB is the curve 2xy(a+b) = ab(x+y). 1 ...

On 3 different days a man has to drive to a railway station and he has 5 conveyances; in how many ways can he make the 3 journeys ? I have done: 5C3.3! + 5C1.4C1 3!/2! + 5C1 = 125 The ans is right but i think somewhere i have ...

If n positive integers are taken together and multiplied ,find the probablty that last digit is 2,4,6,8 ...

If a and b are chosen randomly from set containing {1,2,3,4,5,6} with replacement,find probablity so that \lim_{x\rightarrow 0}\frac{a^x-b^{\frac{x+2}{x}}}{2}=6 I couldnt understand why this limit was given. ...

This is a very old problem... Prove that 4n+n4 is a composite number... ...

Q1 A liquid which is supercooled frequently is called ? Q2 Solublity of iodine in water is increased greatly by addition of iodide ions .Why ? Q3 AlF3 is ionic whereas AlCl3 is covalent ? ...

White P accidentally dropped on hand may be removed by washing with CuSO4.Why ? ...

The hydroxides of Al and Fe are insoluble in water but NaOH is used to separate them.Why? ...

What happens on heating sodium ferrocyanide with 50% nitric acid ? ...