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If f(x) = \frac{1}{3}[f(x) + \frac{5}{f(x+2)}] then \lim_{x\rightarrow \infty }f(x) = ? edit: f(x) is not a constant function and f(x) > 0 in its domain ...

Prove that \left|\alpha +\sqrt {\alpha ^2 -\beta ^2} \right|+\left|\alpha -\sqrt {\alpha ^2 -\beta ^2} \right|=\left|\alpha +\beta \right|+\left|\alpha -\beta \right| where α,β are complex numbers ...

If z=i log(2- 3 ),then find cosz . ...

If θ1 ε[0,π/6] ,i=1,2,3,4,5 and sinθ1 z4+sinθ2 z3+sinθ3 z2 +sinθ4 z +sinθ5=2,then prove that lzl<1/2 ...

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Similar to qeustion posted here http://www.targetiit.com/iit-jee-forum/posts/simple-puzzle-11129.html by Nishant sir Q *Image* I dont want u to calculate no. of triangles..instead derive a general formula for it[1] ...

SOLVE DEM OR GIVE HINT 1. prove that the family of curves *Image* is SELF orthogonal ...

If p,q,r,s are probablities of raining at 4 diff places at some fixed moment.then find max and min value of 3(p^2+q^2+r^2+s^2)-2(p+q+r+s)+4 ...

Find the minimum velocity required to send the ball to the top of this infinite structure.... Keep in mind: The successive radius are half of the original ones..... there are infintely many such. The lowest loop has radius R, ...

FIND D EQUIVALENCE RESISTANCE B/W D TERMINALS OF D CELL *Image* ...

5.find the curve for which the portion of tangent of the curve intercepted between the coordinate axis is of constant length. 6.find the family of curves which are such that the area of rectangle constructed on the absicca of ...

if a< b< c< d then(x-a)(x-c)+2(x-b)(x-d)=0then the roots are a)real and imaginary b)real and unequal c)imaginary d)rational The question is a good one for beginners.. so try it :) *Asked by saheli... ...

p(x) is a polynomial with integer coefficients. For some positive integer c, none of p(1), p(2), ... , p(c) are divisible by c. Prove that p(b) is not zero for any integer b. (bhatt sir stay away) ...

Let f(n) be the least number of times you have to hit the key in the calculator to get a number less than 2 starting from n, n being a natural number. e.g. f(2) =1and f(5) =2. For how many natural numbers m such that 1<m&l ...

wht is pinacol pinacolone??? ...

IN THE NUCLEUS OF AN ATOM THE PROTONS ARE POSETIVELY CHARGED & NEUTRONS ARE NEUTRAL,SO HOW COME IS THE NUCLEUS SO STABLE?DONT THE +IVELY CHARGED PROTONS REPEL EACH OTHER. ...

ACCORDING TO PASCALS LAW THE PRESSURE APPLIED AT ANY PLACE TO AN ENCLOSED FLUID IS TRANSMITTED WITH UNDIMINISHED MAGNITUDE TO EVERY PORTION OF THE FLUID.IF YOU HAD TO EXPLAIN IT AT THE MOLECULAR LEVEL HOW WOULD YOU?MY QUES IS ...

Without calculating, which is greater? \frac{361254001}{722508003} or \frac{361254002}{722508005} If I remember correctly, this is one of the first things i learnt from Hall & Knight Edit: Hint: if A/B< C/D, what can you s ...

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Prove that n/3+n2/2+n3/6 is an integer for all integers n! ...

i am having 1988 edition of morrison and boyd will i loose sumthing ...

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Colours in complexes are decided by the constituents of the coordination sphere, right? So why do K4[Fe(CN)6] and Fe2[Fe(CN)6] differ in colour though coordination sphere is intact? ...

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*Image* answer given is b) but shouldnt it be a) becoz Fnet=Fc-W=m(2gR)/R-mg=mg ...

Q A ball hits the floor and rebounds after an inelastic collision. a)The momentum of ball just after colision is same as before collsion b)teh mech energy of ball remains conserved in teh collision c)the total momentum of bal ...

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