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1)The nodal plane in the Î bond of ethene is located in :- i) Molecular plane ii)Plane parallel to molecular plane iii) plane parallel to molecular plane and bisecting C-C sigma bond at rt. angles iv)Plane perpendicular to mo ...

Find all positive integer `n` such that the equation x3+y3+z3=nx2y2z2 has positive integer solutions. ...

1) \int_{0}^{\infty}{e^{-x^2}}dx =?? 2) Given that \int_{0}^{\infty}{\frac {sinx}{x}}dx=\pi /2 find I=\int_{0}^{\infty}{\frac {sin^2x}{x^2}}dx I know these all are impossbole integrals..but just found the soln to them toaday ...

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*Image* is this compund optically active ...

[sin x] = [cos y] ...

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Questions from various materials n books : PERMUTATIONS & COMBINATIONS { I would continue adding qs in this forum everyday . } 3) There are 2 women participating in a chess tournment. Every participant played 2 games with the ...

Let m,n ε N ,n>m,then \sum_{k=m}^{n}{u_k(v_{k+1}-v_k)}\equiv \left|u_kv_k \right|_{m} ^{n+1} -\sum_{k=m}^{n}{v_{k+1}(u_{k+1}-u_k)} This is called Summation by parts My question is ...is this of any use for JEE ???? if yes ...

One end of an elastic string of natural length a and force constant λ/a is fixed to a point on a smooth horizontal surface vandvthe other end is attatched to aparticle of mass m lying on the surface. the particle is pulled f ...

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[tan x + sin y] = 1 ...

Q1. Prove that the 3 internal angle bisectors of a triangle are concurrent. Q2.Prove that 2 external bisectors and 1 internal bisector of a triangle are concurrent. Q3.Prove that 3 altitudes of a triangle are concurrent. Q4.F ...

*Image* . A sphere is rotating between a rough wall and a smooth wedge as shown in the fig. If u is the coefficient of friction between then find the normal reaction between the wall and the sphere. ...

can toppling occur even in absence of friction??? plz explain....... ...

*Image* . A block of mass m is pushed towards a movable wedge of mass nm and height h with a velocity u. All surfaces are smooth. The minimum value of u for which the block will reach the top of the wedge is... a> √2gh b ...

if y= f(x) is lik dis *Image* then is graph of siny=f(x)...is rit??? ...

If I ε [ 2 , 3 ] Can we say that I ε [ 2 , 5 ] ...

1. \int_{e^-^1}^{e^2}{|lnx / x | } dx = ? 2. \int_{sinx}^{1}{t^2 f(t)dt }= ( 1 - sinx ) , then find f (1 / √3) = ? 3. \lim_{x \rightarrow infinity}1/\pi \sum_{r=1}^{n}{tan^-^1(1/2r ^2)} = ? ...

Prove that the function f(x) = ln x is not rational. (Note: ln x means loge x) ...

Why hydrated FeBr3 inactive as a lewis acid catalyst during bromination of benzene? ...

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*Image* spring const. = k all surfaces are smooth. u hav to find out the elongation in the spring. I have brought out 2 solutions....tell me which one is right. Soln. A : kx = mg sinθ x= mg sinθ/k Soln. B : Consider the ext ...

1.the edges of a parallelopiped are of unit length and are parallel to non-coplanar unit vectors a cap , b cap, c cap. such that dotproduct of any of these unit vectors taken 2 at a time is 1/2. Find volume of parallelopiped. ...

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Does anyone remember any of the following qs which came in FTSE 09?? 1.this question was about an insect which moved with a constant velocity of a disc rotating given initial and final coordinates. We had to find omega 2. Thi ...

a hot body is placed in a room maintained at lower temperature .np. of photons will increase or decrease.....plz give reasons ...

In a lottery, tickets are given 9-digit nos using only the digits 1,2,3.They are also coloured red, blue or green in such a way that 2 tickets whose numbers differ in all the 9 places get different colours! Suppose the ticket ...