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### Questions (112)

 15 $\square\square\times\square =\square\square\square =\square\times\square\square\,\,\,$ fill blanks with distinct numbers from$\{1,2,3,4,5,6,7,8,9\}$ 11 Inequality $\frac{1-3ab}{1-2ac}+\frac{1-3bc}{1-2ba}+\frac{1-3ca}{1-2cb}\geq 0$ 8 Find all real to real function satisfy this functional equation.! $f((x+y)/(x-y))=[f(x)+f(y)]/[f(x)-f(y)]$ 7 If $a^3 + b^3 +3ab = 1$, find $a+b$ 7 Sum of $1/(x+1) +2x/(x+1)(x+2) +3x^2/(x+1)(x+2)(x+3)+\ldots$ till n terms

### Reputation (1,257)

 +5 How to calculate the coordinates of orthocentre.!! +5 Integrate the following. +5 Finding the $n^{\text{th}}$ term of $\frac{1}{4}+\frac{1\cdot 3}{4\cdot 6}+\frac{1\cdot 3\cdot 5}{4\cdot 6\cdot 8}+\ldots$ +5 Inequality $\frac{1-3ab}{1-2ac}+\frac{1-3bc}{1-2ba}+\frac{1-3ca}{1-2cb}\geq 0$

 2 Optimizing $x^2+y^2$ from two given equations? 1 What is the smallest value of $x^2+y^2$ when $x+y=6$?

### Tags (48)

 3 algebra-precalculus × 9 0 geometry × 11 2 contest-math × 13 0 inequality × 10 2 optimization 0 analytic-geometry × 10 0 combinatorics × 17 0 trigonometry × 10 0 quadratics × 16 0 permutations × 9

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