Recently Active Questions

Give a good approximation for i^i^i^..... ans:0.43+0.36i ...

Let P, Q, R and S cut a pack of 52 cards successively in the order given. If the person who cuts heart first receives Rs. 700. Then match the expectations of P, Q, R, S 1. Expectation of P A. Rs. 144 2. Expectation of Q B. Rs ...

The sum of the first few terms in a geometric progression is 11, the sum of their squares is 341, and sum of their cubes is 3641. Find the terms of the sequence. ...

prove this inequality *Image* conditions:plz dont use titu lemma,tchebychef and cauchy-schwatz.... only alowwed inequality's are a.m >g.m >h.m and mean power............ i am imposing these conditions because i proved i ...

if a+\frac{1}{a}=-1 find the value of (a^2+a+1)+(a^4+a^2+1)+(a^6+a^3+1)+(a^8+a^4+1)+...+(a^{2006}+a^{1003}+1) ...

I am little confused about the effect Hyperconjugation has on the compounds. I would like to know how does hyperconjugation work? How does it affect the stability and acidity of a compound? and when should we consider its eff ...

try these 2 questions :) 1). if z + 1/z =2cos3° then find the value of z2009 + 1/z2009 2) if x= 4/((51/2 +1)(51/4+1)(51/8+1)(51/16 +1)) then find the last digit of (x+1)48....... ...

A continuation of what b555 started, I'm posting here another theorem namely the Totient theorem or the famous "EULER'S-PHI-FUNCTION-FORMULA" to ease the mod-bashings....beleive me this is another tool to ease rem calculation ...

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Found it intresting ..so posting here... not at all my doubt... idnitfy A and B *Image* ...

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Which of the following definition is correct? A square matrix A is called nilpotent if there exists a positive integer m such that Am= 0 , where m is the least positive integer such that Am = 0 , then m is called the index of ...

the equation du=-F.dr is it also valid for conservative external forces ...

1)Evaluate \sum_{0}^{infinity}{sin(n\alpha )/n} = ??? (n varies from 0 to infinity) [\alpha\varepsilon (0,2\pi )] 2)Find the sum of \sum_{r=00}^{infity}{\frac{sinr\alpha }{sin^{r}\alpha }} ...

Sunlight filters through the leaves of a banyan tree and makes small patterns of light on the largely shaded area on the ground under the tree. the shapes of these lighted spots are A. triangular B. square C. irregular D. cir ...

Determine all 2 by 2 matrices "A" such that AX=XA for any 2 by 2 matrix X. Aside: I have often said this.. Uptil a long time I used to think why we are taught that (a+b)+c = a+(b+c) and a+b=b+a .. etc etc... We used to laugh ...

Evaluate: \lim_{x\rightarrow 0} \frac{tan^{-1}x}{sin^{-1}x} ...

If the set up shown below is on "MARS", what will be the torque at point A? Ignore the weight of the beams AB and BC. *Image* ...

"Give two different numbers, each of which is the square of the other." and i dont want o and 1 as the answer ...

An AP and a GP have the same first and last terms as well as the same number of terms. Is the sum of terms greater for the AP or GP? ...

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What's the COM of a circular segment like this one??? *Image* ...

Out of the following, which graph between PV versus P correctly resembles for N2 at different temperatures? *Image* ...

i was seeing the book suggestions in the cmi site..they have told 1 book called "challenges and thrill of pre-college mathematics"...i browsed in the net and found that no free e-book is availabe....does ne1 have link 4 free ...

Find the condition that the straight line cx-by+b^{2}=0 may touch the circle x^{2}+y^{2}=ax+by and find the point of contact. ...

something must be wrong in my concepts:i still cant figure out this q. Help!! An insect of mass m is initially at rest at one end of a stick of length L and mass M , which rests on a smooth horizontal floor . The coefficient ...

If 0 <x < π/2, then the Minimum Value of.... \frac{cos^{3}x}{sin \ x} + \frac{sin^{3}x}{cos \ x} is ... a) √3 b) 1/2 c) 1/3 d) 1 ...

A simple pendulum is oscillating with a time period T. The bob is metallic and has a charge +q. Choose the correct statement(s) 1. T will increase if a uniform electric field is applied in vertically upward direction 2. T wil ...

In the fig the capacitors C1 and C2 are at first charged to a potential of ΔV but with opposite polarity,so that points a and c are on the side of the respective positive plates of C1 and C2 and points b and d are on the sid ...

The orthogonal trajectory of x2 + y2 = a2 , where'a' is arbitrary constant is a circle. IS THE STATEMENT RIGHT??????? ...