3/(b+c+d)+3/(c+d+a)+3/(d+a+b)+3/(a+b+c)g...

`3/(b+c+d)+3/(c+d+a)+3/(d+a+b)+3/(a+b+c)gt16/(a+b+c+d)`

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ML KHANNA-INEQUALITIES-PROBLEM SET (1)(TRUE AND FALSE)

2/(b+c)+2/(c+a)+2/(a+b)gt9/(a+b+c)
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If S=a+b+c then prove that (S)/(S-a)+(S)/(S-b)+(S)/(S-c) gt (9)/(2) wh...
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3/(b+c+d)+3/(c+d+a)+3/(d+a+b)+3/(a+b+c)gt16/(a+b+c+d)
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n(n+1)^(3)lt8(1^(3)+2^(3)+3^(3)+………+n^(3))
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If a, b, c are in H.P. and they are distinct and positive then prove t...
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Sum of the nth powers of the m^(th) power of n even numbers is gtn(n+1...
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If a,b,c are real numbers such that a^(2)+b^(2)+c^(2)=1 then ab+bc+cag...
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In any triangle the semi perimeter is greater than each of its sides.
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The sum of the cubes of the legs of a right angled triangle is less th...
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Thesum of the hypotenuse and the altitude of a right angled triangle d...
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The area of an arbitrary triangle is less than one fourth the square o...
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If x,y,z are all positive and x lt y lt z, then (x^(2))/zlt(x^(2)+y^(2...
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If 0ltalpha(1)ltalpha(2)lt……….ltalpha(n)lt(pi)/2 then tan alpha(1)lt...
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If A+B+C=pithen "tan"^(2)A/2+"tan"^(2)B/2+"tan"^(2)C/2ge1.
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Prove that 2sinx + tanx ge3x, for all x in [0, pi/2].
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(a(1)^(2)+a(2)^(2)+….a(n)^(2)) (b(1)^(2)+b(2)^(2)+…..+b(n)^(2))ge(a(1...
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A.M. of the square root of products taken two together on n+ve quantit...
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Given n^(4)lt10^(n) for a fixed positive integer nge2, then (n+1)^(4)l...
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For real a,b and x -sqrt((a^(2)+b^(2))lea sin x +bcos x le sqrt((a^(2...
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log(e)4+log(4)egt2 a. True b. False
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