Recently Active Questions

(n!)! is divisible by A--28(2n-1)n-1 B--(3n)! C--(n!)n! D--(n!)(n-1)! ...

15. Equation of a line is given by y+2at=t(x-at2), t being the parameter. Find the locus of the point of intersection of the lines which are at right angles. 16.The ends A,B of a strait line line segment of a constant length ...

Can someone kindly provide me any link for a software to open djvu files? ...

This is Season2 of "Some good revision problems" which was completed succesfully here last year http://targetiit.com/iit-jee-forum/posts/some-good-revision-problems-2579.html All the rules are same as mentioned there..... We ...

How do u prove any linear eqn in x,y,z represent a plane? The reason I ask this is bcoz I'm having a fundamental problem in the proof itself! ...

1) In a batch of 10 articles, 4 articles are defective. 6 articles are taken from the batch for inspection. If more than 2 articles in this batch are defective, the whole batch is rejected. Find the probability that the batch ...

Find the resistance between any two of the adjacent sides of the cube. ρ is the specific resistance. Cube length = L ...

Now that's very interesting -- a section for physics Olympiad. It opens another world to us. At least, there would be a bit less restriction as to the nature of problems that ppl can discuss over here. Good work Nishant sir. ...

The axle of a wheel lies on the surface of an oil bath, and four equal charges q are spaced equally around the perimeter. The fixed charge Q repels all four charges q. What do you predict will happen to the wheel? *Image* ...

y=tan(tan-1x) and y=tan-1(tan x) on the same graph.. ...

This question was asked by sumeet. Q Find the roots of e(x-1)+x-2=0 ...

The largest interval in which x12 - x9 + x4 - x + 1 > 0 is: A. [0,∞) B. (-∞,0] C. (-∞,∞) D. none of these ...

|z2-1| < 1 Where z is any complex number on the Argand plane.. ...

A particle of mass m rests on a horizontal floor with which it has a coefficient of static friction μ. It is desired to make the body move by applying the minimum possible force F. Find the magnitude of F and direction in wh ...

*Image* ...

*Image* ...

Q) The rod of length L tied to two strings is lifted up a little distance and let go. The situation just before the strings become taut is shown below. the velocity of the rod is V at this instant. Find Vcmand ω just after t ...

Thomas Young performed his famous double slit experiment which seemed to prove that light was a wave. This experiment had profound implications, determining most of nineteenth century physics and resulting in several attempts ...

There are n straight lines in a plane,no two of which is parallel,and no three pass through the same point.If their points of intersections are joined,find the number of fresh lines thus obtained. ...

If a, b, c are distinct real numbers, then, the number of real roots of \frac{(x-a)(x-b)}{(c-a)(c-b)}+\frac{(x-a)(x-c)}{(b-a)(b-c)}+\frac{(x-b)(x-c)}{(a-b)(a-c)}-1 is? ...

Determine naturals x and y satisfying \frac{1}{x}+\frac{1}{y}=\frac{1}{14} .....It was done in goiit once! ...

GIVEN A f:n "g" continous for every x→R such that g(1)=5 & ∫10 g(t)dt =2; if o∫1 (x-t)2 g(t) d(t) . find f'''(1) -f''(1) ??? f:n is function abbrevation ...

if v1→=a*(b*c) ; v2→ =b*(c*a) ; & v3 → = c*(a*b) then : a) v1 +v2 + v3 is anull vector b)v1 ,v2 ,v3 can form side of a triangle c)v1 , v2 , v3 are coplanar d)v1 , v2 ,v3 are linearly dependent ...

Find the moment of inertia of the following w.r.t the axis passing through their centre of mass: 1.An elipzoid(3-d of an ellipse). 2.A regular hexagon of side 'a'. ...

Which one is heavier 1 amu of C-12 or C-14 isotope? ...

A parabola is drawn touching the axis of x at the origin & having its vertex at a given distance k,from the axis. P.T the axis of the parabola of the parabola is a tangent to the parabola --- x2=-8k(y-2k) ...

three identicle pulleys each of mass M and radius R are arranged on a smooth horizontal tabe as shown in fig.....A force F is applied to pulley S while P and Q can rotate due to thread wound on them...... Q1.When centre of pu ...

4)A grasshopper can jump max dist of 1.6m. It spends negligible time on ground. How far can it go in 10(2)^1/2 s? 5) 2 particles A and B are projected simultaneously from the 2 towers of ht. 10m and 20m respectively.A is proj ...

1) If f(x) is continous for allx belonging to R and range of f(x) is (2, √26) and g(x) = [ f(x) / a ] is continous for all x belonging to R (where [.] denotes the greatest integral function). Then the least posiitve integra ...

The coordinates of the extremities of a rod are A(1,2) and B(3,4). S(0,0) is the source of light. The rod AB is parallel to the wall and is midway betwen the point source of light and the wall. CD is the shadow of AB on the w ...