Recently Active Questions

Find the number of divisors of 3630 which leave remainder 1 when divided by 4 ? ans=6 ...

Find the number of permutations of letters a,b,c,d,e,f,g such that neither the pattern 'beg' nor 'cad' appears Ans:4806 ...

Find number of ordered triplets of positive integers which are solutions to the equation x+y+z=100 ans:4851 ...

The metals soluble in aqua regia is/are a)Pt b)Au c)Ag d)Cu ...

For c≥1,find all the complex number z satisfying z+c lz+1l+i=0 ...

Prove that {{cosθ+sinφ)+i(sinθ-cosφ)}n+{(cosθ+sinφ)-i(sinθ-cosφ)}n =2n+1cosn(π/4 +θ-φ/2) cos[n(π/4 -θ+φ/2)] ...

Find real part of tan(α+iβ) ...

If ω≠1 is cube root of unity satisfying 1/a+ω +1/b+ω +1/c+ω =2ω2 and 1/a+ω2 +1/b+ω2 +1/c+ω2 =2ω Find value of 1/a+1 +1/b+1 +1/c+1 ...

1) \int{\frac{{\sin (x+\alpha )}}{{\cos^{3}x}}}\sqrt{\frac{{\cos ecx+\sec x}}{{\cos ecx-\sec x}}}dx 2) \int{\frac{{x^{2}-1}}{{1+x^{2}}}}\frac{{dx}}{{\sqrt{1+x^{2}+x^{4}}}} These questions have been lifted from AOPS .. I found ...

find the time period of small oscillation of mass m abt its mean pos....assume ideal conditons *Image* ...

This qsn was asked in 1 of our school exams...... Find limit as n→∞..... \frac{\sqrt{(n+1)}+\sqrt{(n+2)}+....\sqrt{2n}}{n\sqrt{n}} Applicaion of integral calculus gives ans as \frac{2}{3}(2\sqrt{2}+1) While if we solve by ...

This one is a copy paste from teh book.. Algebra can be fun... Let us make an approximate calculation of the total number of different chess games that can ever be played on a chess board. An exact calculation is quite beyond ...

The amplitude of wave is given by A=c/(a+b-c).Find values of a,b,c for which resonance will occur ...

Find the number of selections of n things from three piles,one consisting of n identical things of one type,second consisting of n identical things of second type and third consisting of n different things . ...

If a gas is heated at constant pressure,the isothermal compressiblity a) remains constant b) increases linearly c) decreases linearly with temperature d) decreases inversely with temperature ...

There are 10 greeting cards each of different color and 10 different envelopes of the same colors.Find the number of ways in which cards can go to the envelopes such that 6 cards can go into envelopes of corresponding color ...

An organ pipe is sounded with a tuning fork of frequency 256Hz.When the air in the pipe is at temperature of 15°C,23 beats are heard in 10 seconds.When the tuning fork is loaded with a small piece of wax,the beat frequency i ...

Again from Askiitians.com (this problem was an oasis in the mind-numbingly boring queries there) Find all continuous functions f: R→R satisfying f[(x-y)2] = f2(x) - 2x f(y) + y2 ...

He is the most respected person on this website..Nd he helps all of us..Great job done by him..I respect him alot..Comment everybody..Isnt he rocking?? ...

*Image* whats role of TsOH?? and 93 % ?? and aslos tell em what 7% product formed ?? ...

Chlorination of isobutane gives mixture of 2 isomeric monochlorides CH3 | CH3-----CH-----CH2-----Cl CH3 | CH3-----C----CH3 | Cl ...

*Image* Source: 200 Puzzling problems [1] ...

First look when i saw this question, I got bowled.. Then the feeling of solving this one was good.. [1] .. I thought THis is a nice question that you guys should try F(x) is a polynomial of degree n such that f(k)=1/k for k=1 ...

Find the no.of triangles that can be formed with the vertices of a polygon of 10 sides as their vertices if 1) the triangle cannot have more than one side in common. 2)the triangle cannot have any side in common with the poly ...

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Show that there exists a complex Number Z satisfying |z-a| + |z+a|= 2 |c| if and only if |a| ≤ |c|. If this condition is satisfied what are the smallest and largest values of |z| ?????? ...

*Image* Can anyone please find the center of masses of a uniform hollow hemisphere and of a frustum like shown above? You can take any variable you like. ...

*Image* A small body 'A' is fixed to the inside of a thin rigid hoop of radius R and mass equal to that of body 'A'. The hoop rolls without slipping over a horizontal plane. At the instant when the body is at lowermost positi ...

A heavy mass m is tied through a pendulum in a railway train moving at a constant speed v. The carriage is brought to rest suddenly by a strong but uniform braking. Can the pendulum travel through 180° so that the taut reach ...

plz explain me the "mole concept" explain about the 1)LAW OF CONSTANT PROPORTION 2)LAW OF CONSERVATION OF MASS 3)LAW OF CONSERVATION OF MOMENTUM ...