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i was unable to solve this one but wait till you see the solution given in the book!! if a,b,c,d are four non-negative reals and a+b+c+d=1, show that ab+bc+cd \le \frac{1}{4} ...

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1) The largest positve integer is 1 Surprised ???? well its true............ here is the proof.... Let n be the largest postive integer... Also we know that n2≥n Now since n is largest => n2=n => n=1 Hence proved...[3 ...

1) How many arrangements can be made with all the letters of the word "VENUS" such that the order of the vowels remains unaltered ? 2) In how many ways can 5 commerce and 4 science students be arranged in a row so that the co ...

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10001000 or 1001999 ...

If \sqrt {a+b} \tan \frac {\theta}{2}=\sqrt {a-b} \tan \frac {\phi}{2} then prove that (b-a\ sec \theta)(b+a\cos \phi)\leq 0 ...

Ques) If A (1,2) ; B (3,4) and C (x,y) be a point such that (x-1) (x-3) + (y-2) (y-4) = 0. If areas of triangle ABC =1 then the max no. of positions of C in XY plane is (a) 4 (b) 3 (c) 2 (d) none ...

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find the maximum and min value of x2y3z4 such that x+y+z=18 ...

Among various properties of continous, we have if f is continous function on [a,b] and f(a) f(b) < 0, then there exists a point c in (a,b) such that f(x) = 0 equivalently if f is continous on [a,b] and x belongs to R is su ...

\int \frac{e^{kx}}{x}dx btw i required this for a phy q. ...

\int\frac{\sqrt{1-x^{2}}-x}{x^{3}-x^{2}-x+1-\sqrt{1-x^{2}}+x\sqrt{1-x^{2}}}dx It is not as tough as it looks ;) ...

The Electronegativity of 2 elements A and B are 2,4 Whats the % ionic character of A-B bond ...

sin2(x+y) = 1 ...

Suppose that a bubble has the shape of a long cylinder, rather than that of a sphere. Determine an expression for the difference between the inside and outside pressures; express your answer in terms of the surface tension γ ...

Find the sum of the given expression here: \sum_{0\leq i\neq j\leq n}{\left( ^nC_i\times ^nC_j\right)} ...

Find the sum of this infinite series \sum_{0\leq i\neq j\leq \infty}{\left(3^{-i}\times 3^{-j})} ...

Arange the following in order of dec bond angle NF3,PF3,NH3,PH3 ...

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in a triangle,R=2r then the triangle is a)right angle b)isosceles c)equilateral d)none ...

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A bucket is tied to a string of mass M is lowered at a constant acceleration of g/4.If the mass of the bucket is M & is lowered by a distance d , the work done by the external agent on the string & bucket system will be ? (A) ...

if we say charge is quantised n is q=±ne then how can we integrate charge???? ...

Write down chemical eqns that occur when mixture of calcium phosphate,silica,coke is heated in electric furnace ...

if two lines represented by the eq ax3 +bx2y+cxy2+dy3=0 are at right angles then a2+d2 +ac+bd is equal to a)-1 b) 0 c)1 d). ab +cd ...

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1.Determine whether or not there exists a positive integer n such that n is divisible by exactly 2000 different prime nos,and 2^n+1 is divisible by n. ...

2sin45/4°=√2-√2+√2 prove this ? ( the first root is the main root.the second and the third root is under the main root). ...

Which of the following will give acidic solutoin 1) Na2CO3 2) H2S 3) CuSO4 4) NaBr ...