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Prove that, the sequence 11,111,1111,11111,...∞ doesn't have any perfect square. ...

why compactness decreases the boiling point and increases the melting point of a structure????????????????????? ...

from a supply of identical capacitors rated 8μF, 250 V ,the minimum number of capacitors required to form a composite 16μf ,1000V capacitor is???????????? ...

A positive integer n is a good number if it can be written as the sum of two positive integers a and b, i.e. n=a+b, such that n|ab. It is a very good number if a,b are distinct. Find all numbers n such that n is good but it's ...

Q1.prove thet √2 is irrational. Q2.how we will prove mathematically that 1*0=0 ...

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if a function f(x) increases in the interval (a,b) then the function [f(x)]^n increases if ...

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Find all integers a such that x2-x+a divides x13+x+90 ...

Determine all pairs of positive integers (a,b) such that all roots of x^3+8x^2+2^ax+2^b = 0 are real and at least one root is an integer. ...

This appeared in one of the RMOs: Solve for real x and y: 5x\left(1+\dfrac{1}{x^2+y^2}\right)=12 5y\left(1-\dfrac{1}{x^2+y^2}\right)=4 ...

Q1)If x,y and z are in AP,prove that 1/√x+√y ,1/√z+√x ,1/√y+√z are in AP Q2)Sum the series to n terms: (1/1+√x) +(1/1-x)+(1/1-√x)+....... Q3)Find the sum of first 19 terms of the AP a1,a2,a3,.........if it is ...

if V=0,E must be zero..................... is above statement correct?? ans. is it is incorret................but why i can't get it............if we differentiate a constant we get zero only na.............then y...........p ...

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Consider a man standing at a point P at a distance a unit from the wall. This man has to reach at a point Q (which is on the same side of the wall). Distance between P and Q, measured along a wall is b units, while the distan ...

Find the real roots of the equation: x^3+2ax+\dfrac{1}{16}=-a+\sqrt{a^2+x-\dfrac{1}{16}} where 0<a<\dfrac{1}{4} Edit: The power of x is 2 and not 3 (thanx gordo for pointing it out). And I placed it mistakenly in this s ...

I'm a IXth student.Plz explain me tyndall effect and why the colloidal particles move towards and electric field. Plz explain me in a way i can understand??? ...

hey guys, which 1 is better...CS at SRM university or CS at BEST EAMCET college(thru mangement).. and that person is bit homesick.. ...

*Image* ...

IF S1,S2,S3,......................,Sn ARE THE SUMS OF n TERMS OF n GP's WHOSE FIRST TERM IS 1 IN EACH CASE AND COMMON RATIO ARE 1,2,3,............n RESPECTIVELY,THEN PROVE THat S1+S2+2S3+3S4+...............+(n-1)Sn=1n+2n+3n+. ...

prove 1111111111111111................(91 digits) is not a prime no. ...

A horizontal plank having mass m lies on a smooth horizontal surface.A sphere of same mass and radius r is spined to an angular frequency w0 and gently placed on the plank as shown in the figure.If coefficient of friction bet ...

Q Find the intersection of y=2sin|x| and y=2cos|x|n the interval of [-∩,∩]. Give the answer along with the graph. ...

IF X=43*46*46*49.............*43X=0.0625-54,THEN VALUE OF X IS_______________________. ...

1-Buten-3-yne contains H2C=C(CH3)C≡CH ...

IF XA=XB/2ZB/2=ZC,THEN PROVE THAT 1/A,1/B,1/C ARE IN A.P. ...

*Image* This is an equilateral triangle of side "a". The equivalent resistance between AB, BC and CA is R. the inner triangle is of length a/2 and resistance R/2. This continues till infinity. Find the equivalent resistance b ...

Q The number of solutions of logx3=2x-3. Better use graphical approach and try if this could be done by any another method?[1] ...

A thin wire ring of radius R carries a charge q. The ring is oriented parallel to an infinite conducting plane and is separated by a distance l from it. Find: (a) the surface charge density at the point of the plane symmetric ...