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A uniform chain of mass m hangs from a light pulley, with unequal lengths hanging from two sides of the pulley. The force exerted by the moving chain on the pulley is ....... a> mg b> >mg c> <mg d> may be an ...

Find all Complex no. Z which satisfy the following expression (1)Z(bar) = i(Z2) without using Z=x+iy (2) question Z2+|Z|=0 ...

This question is not for the advanced students.. but for those who fear the name Functional equations and have not tried too many.... SOlve this one to get some hold on the topic.. Determine f(x) such that... x^2f(x)+f(1-x)=2 ...

Let f:A1→B1, g : A2→B2, p:A3→B3 , and h : A4---->B4 are real valued functions.If the range of h(x)=g(f(p(x))) is a set y then y A. y\subseteq B1 B. y\subseteq B2 C. y\subseteq B3 D.can't say p.s - RTPF stands for Ran ...

\int _{0}^{1/2}\frac {dx}{\sqrt {1-x^{2n}}} where n≥1 ...

Find the equation of the line passing through the point (4, -14, 4) and intersecting the line of intersection of the planes: 3x+2y-z = 5 and x-2y-2z = -1 at right angles. ...

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

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

If α and β are roots of z +1/z=2(cosθ +isinθ) ,0<θ<π , show that l α-i l=l β-i l ...

Why it is said that no of roots of x3=0 is 3 repeated roots... Then why sin(x)=1 has only one root in (0,pi) ...

Draw the graph of... y={x}2+{x2} ...

z1,z2,z3,z4 are four complex nos. If z1 + z2 = 0 , and z1z2 + z3z4 = 0 , then prove that these are concyclic. ...

It all started with b555's classic integration siikho thread..and now nishant sir started some more threads on it.... I ma starting one small on inequalities..A lot of inequlaities thread are already there on site..I know tha ...

Find the distance of the point P(-2, 3, -4) from the line x+2/3 = 2y+3/4 = 3z+4/5 measured parallel to the plane 4x+12y - 3z +1 = 0. ...

For positive x and y, establish the following inequality x^y + y^x>1 . ...

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2 trans, each wid speed 50 km/h , r headed towards each other on d same track. a bird which can fly at d rate of 100 km/h flies off one train when they r 100km apart and heads directly to other train. on reaching d other trai ...

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0∫1 x (1-x)/(1+x) = ?? one method was to write f(1-x) n put x=2 sin2θ n solve.. ne other method ?? ...

Reduce to simplest form tan^{-1}(\frac {xcos\theta}{1-xsin\theta})-cot^{-1}(\frac {cos\theta}{x-sin\theta}) ...

Prove that the interval [0,1] can be split into black and white intervals for any quadratic polynomial P(x) , such that the sum of weights of the black intervals is equal to the sum of weights of the white intervals. (Define ...

1.which reaction has lowest activation energy??? (plz give reason) *Image* ...

If a,b ≥ 0 and p,q are rational numbers such that p > 1, and 1/p + 1/q =1, then show that ab ≤ ap/p + bq/q ...

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log27 is: a)integer b)rational c)irrational d)complex roots give proof as well ...

21 people take a test with 15 true or false questions. It is known that every 2 people have at least 1 correct answer in common. What is the minimum number of people that could have correctly answered the question which the m ...

16 students took part in a competition. All problems were multiple choice style. Each problem had four choices. It was said that any two students had at most one answer in common, find the maximum number of problems. ...

In a wagon, every m≥3 people have exactly one common friend. (When A is B's friend, B is also A's friend. No one was considered as his own friend.) Find the number of friends of the person who has the most friends. ...