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1)Consider two observers moving with respect to each other at a speed v along a straight line. they observe a block of mass m moving a distance l on a rough surface. Which of the following quantities will be same as observed ...

1. If \alpha \neq \beta and atan\alpha + btan\beta = (a+b) tan ((\alpha + \beta)/2) show that cos \alpha / cos \beta = a/b ...

If 1- x4 + 1- y4 = k(x2 - y2) prove that dy/dx = x 1- x4 / y 1- y4 ...

1. A function f(x) is defined so that for all real x {f(x)}n = f(nx). Prove that f(x).f'(nx) = f'(x).f(nx). ...

why the dipole moment of individual bond cannot be calculated in a polyatomic molecule. ...

Evaluate lim x→∞ (ncr pr qn-r) if np = m , p+q =1 and m,r are contant. ...

Product of any 4 consecutive integers is always 1 less than a perfect square. ...

Ques 1) If excess charge is placed on a spherical shell that is made up of conducting material, then the excess charge spreads uniformly over the external surface. Is this true in case if the shell is made up of NON CONDUCTIN ...

\large [x].[y]=x+y\,\rightarrow all\,non\,integer\,sol.\,lies\,on\,exactly\,2\,lines\,find\,them. ...

1. if A and B are two events such that P(A∩B)=P(A) then P(A/B)=1 or P(B/A)=1?? 2. tan x dy/dx-(sec2x)y= sin x here I.F. is cot x or tan x? 3. dy/dx+y=tan x .. here I.F. is elogx?? ...

A point P moves inside a triange A(00),B(1,1/ 3 )and C(2,0) such that min(PA,PB,PC)=1,then the area bounded by the curve traced by P is: a)3 3 -3pi/2. b) 3 +pi/2 c) 3 -pi/2 d)3 3 +3pi/2 ...

especially to ppl who think they r genius ... like 1) shubomoy 2)sanchit 3)जय 4)qwerty prove : \boxed{1} \\ \texttt{{if |x| < 1 , then prove that }} \\ \\ \lim_{n\rightarrow \infty}x^n=0 \\ \\ \boxed{2}\lim_{n\rightarr ...

Suppose p(x) is a polynomial with integer coefficients. The reminder when p(x) is divided by x-1 is 1 and the remainder when p(x) divided by x-4 is 10. If r(s) is the remainder when p(x) is divided by (x-1)(x-4), find the val ...

lim x → pi/2 cos x/ (1-sin x)2 ...

A piece of wire is bent in the shape of a parabola y=kx2(y axis vertical) with a bead of mass m on it. The bead can slide on the wire without friction . It stays at the lowest point of th eparabola when the wire is at rest. t ...

A point particle having a mass m is coming from V under the mutual gravitational attraction of the sphere of radius R , in which a negligibly small hole is made so that the particle may enter . Find the time it takes to reach ...

Have you ever observed that a pendulum clock(normal household clock) oscillates continuously even air friction is acting opposite to the direction of its motion. it oscillates due to the force of repulsion between two magnets ...

PLEAZ TRY THIS............... 1) a) find the min. velocity with which an object must be projected vertically upwards so that it doesen't returns back to the surface? b)what should the min. radius of the earth for the earth to ...

Among the following which pair of quadratic equations have the same nature of roots? a) 13x2+41x+37 and 912+67x+13 b) 11x2+23x+25 and 59x2+45x+11 c) 31x2+14x+7 and 52x2+76x+31 d) all Finding out the discriminant is a tedious ...

Solve the inequality sin2x > 2 sin2x + (2- 2 ) cos2x. ...

though i posted it in 9-10th section.....but everybody is allowed to ans(except experts) *Image* in teh adjoingin fig a circle meets the triangle ABC at 6 points..... *Image* ...

Find general value of x which satsfies the equation 2sin(3x+ π/4 ) = 1+8sin2x cos22x . ...

Under what condition on n, will n consecutive integers exist whose sum is nk Hint: Consecutive integers are in AP [6] ...

∫(1/(x3+x4))dx ...

x+x+x..x times = x^2 differentiate both sides w.r.t x 1+1+1..x times = 2x x =2x what is happenning ? ...

Show that the quadratic ax2+bx+c has no rational roots if a, b and c are all odd... ...

I am starting organic right now I have 3 choices of books ...please suggest soemthing 1.Arihant Organic 2.Morrison Boyd 3.Bahl and Bahl Organic chemistry Please reply as soon as possible... ...

\large find \, the\,no.\,solutions\,of\,\rightarrow \,2^{x}= x^{2}+1 see actually by drawing graph no. of sol. "seems" to be 2....but actually the ans. is 3.....( i checked it on wolfram alpha )......but i want to know how sh ...

*Image* Show that when when a bar of length l, breadth b, and depth d (supported near its ends) , when loaded at the centre by a load W sags by an amount given by \delta = \frac{ W\l^{\3}}{4\ b\ d^{\3}\ Y} where Y is the Youn ...

give the mechanism of product formed when aniline reacts with concentrated HNO3 ...