45 - Algebra Questions Answers

Sir please help in this question i got stuck in p&c part.
Asked By: UTKARSH MAURYA
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Asked By: TONY
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Solve in integers the equationx2+y2+xy=(x+y3+1)3

Asked By: RATHER NOT SAY
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There are 8 distinct boxes and each box can hold any number of balls. A child having 4 identical balls randomly choose four boxes. Then another child having four balls, identical to the previous mentioned, again puts one ball in each of the arbitrary chosen four boxes. The probability that there are balls in at least 6 boxes is

 

Sir pls solve

Asked By: KANDUKURI ASHISH
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Between two numbers, whose sum is 13/6, an even number of arithmetic means are inserted, the sum of these means exceed their number by unity. How many means are there?

Asked By: PREM
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If 9a+24b=1, a,b, +, prove that a2+b2 9( 4+93)3.

Asked By: JAMES GHOSH
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The expression ax2 + 2bx + b has same sign as that of b for every real x, then the roots of equation bx2 + (b – c) x + b – c – a = 0 are (A) real and equal (B) real and unequal (C) imaginary (D) None of these
Asked By: PREM
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If a,b and c are positive real numbers, show that

ab+c+bc+a+ca+b32

Asked By: MROY
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How to do it without using cauchy schwartz inequality?
Asked By: LUFFY
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Is there a way to do this in terms of area in a coordinate plane. Where difference of larger and smaller can be difference in x coordinate for 1st player and difference in y coordinate for 2nd player
Asked By: LUFFY
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Probability to get following differences  difference     probability 0                   6/36 1                 10/36 2                   8/36 3                   6/36 4                   4/36 5                   2/36 So required probability =1-2636436+236+1036236 now solve problem is based on integral values so area is not very useful

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