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Let f(x) be a polynomial, such that f(x).f(1/x)=f(x)+f(1/x), and f(3)= -26. find f(x). ...

Prove that the eqn cos 2x + a sinx = 2a- 7 possesses a solution if 2≤a≤6 . ...

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1) Find the least positive integral value of "k" such that it satisfies- {\begin{pmatrix} cos\frac{2 \pi}{7}\ -sin\frac{2 \pi}{7}\\ sin\frac{2 \pi}{7}\ \ cos\frac{2 \pi}{7} \end{pmatrix}}^k = \begin{pmatrix} 1 \ 0 \\ 0 \1 \en ...

If A, B are two square matrices such that AB=A and BA=B , then prove that B2=B ...

an object goes from one point in a circle to another making an angle x degree.then change in velocity is? ...

A rectangle with altitude 'x' is inscribed in a triangle ABC with base 'b' and altitude 'h' . Express the perimeter P and area S of the rectangle as functions of 'x' ...

What is the general solution to the differential eqn 100 d2y/dx2 -20 dy/dx + y =0 ...

what is the degree of the eqn x= 1+ dy/dx + 1/2! ( dy/dx )2 +............. ...

what marks needed to get into jadavpur university? ...

Problem 4. Let ABC be a triangle with AB = AC. The angle bisectors of angle CAB and angle ABC meet the sides BC and CA at D and E, respectively. Let K be the incentre of triangle ADC. Suppose that angle BEK = 45degree. Find a ...

∫ from 0 to pi/2 sin5x dx ...

the 50 KG homogeneous smooth sphere rests on the 30 degree incline A and against the smooth vertical wall B.calculate contact forces at A and B. ...

Show that C_{0} - C_{1}\left(\frac{1+x}{1+nx} \right)+C_{2}\left( \frac{1+2x}{(1+nx)^{2}}\right)-C_{3}\left(\frac{1+3x}{(1+nx)^{3}} \right)+ ......... =0 ...

if 2 cosA=cosB+cos3A & 2 sinA=sinB-sin3B,show that sin(A-B)=±1/3 ...

1)SOLUTION SET OF (3/5)x=(x -x2-9) is? ...

1. Q.A container filled with viscous liquid is moving vertically downwards with constant speed 3vo. A sphere of radius r is moving vertically downwards (in liquid) has speed vo. The coefficient of viscosity is eta . There is ...

A particle of mass m = 2 kg executes SHM in xy-plane between points A and B under action of force = Fx + Fy . Minimum time taken by particle to move from A to B is 1 sec. At t = 0 the particle is at x = 2 and y = 2. Then Fx a ...

dont you think that in recent days the forum has slept off!!! express your feelings!![2][2] as of me i am very sad!! very very sad!!! ...

if n is number greater than 3, show that n2-1 is a multiple of 24. ...

range of f(x)=cosx + cos2x is ...

cos(a+b)=4/5 &cps(a-b)=5/13 & a,b lies in b/w 0o to 45o ,find the value of tan2a. ...

Q: why is sulphuric acid not used during reaction of alcohols using KI?? umm....generally we use it like: R-OH + NaBr + H2SO4 ----> R-Br + NaHSO4 + H2O!! ...

Which is not the functional isomer of molecular formula C 4 H 8 O ? *Image* ...

The fundamental period of |sinx| + |cosx| is: ...

If a and b are 2 integers such that 7 divides a2+b2, show that 49 divides a2+b2 (Slight olympiad tilt here) ...

Which of the following is aromatic? ...

prove for all real x1 and x2 (x12+x12)/2>[(x2+x2)/2]2 ...

http://www.india-server.com/news/iit-jee-2010-results-put-on-hold-26014.html The Delhi High Court has announced to put stay orders on the declaration of IIT-JEE 2010 results. The Indian Institutes of Technology (IIT) entrance ...

plz explain me how 2 give the bond line representation of compounds.Explain it with the help of examples. Also tell me the meaning of solid & dashed wedge formula. ...