# 134 - Mathematics Questions Answers

There are 8 distinct boxes and each box can hold any number of balls.A child having 4 identical balls tandomly choosen four boxes.Then another child having four balls,identical to the previous mentioned,again puts one ball in each of the arbitary choosen four boxes.The probability that there are balls in atleast 6 boxes is

Sir pls solve

**Asked By: KANDUKURI ASHISH**

**submit your answer**

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**

**submit your answer**

**Joshi sir comment**

$If\frac{9}{a}+\frac{24}{b}=1,a,b,\in {\mathrm{\mathbb{R}}}^{+},provethat{a}^{2}+{b}^{2}\ge 9{(4+\sqrt[3]{9})}^{3}.$

**Asked By: JAMES GHOSH**

**read solutions ( 1 ) | submit your answer**

**Joshi sir comment**

**Asked By: PREM**

**submit your answer**

**Joshi sir comment**

If a,b and c are positive real numbers, show that

$\frac{a}{b+c}+\frac{b}{c+a}+\frac{c}{a+b}\ge \frac{3}{2}$

**Asked By: MROY**

**read solutions ( 1 ) | submit your answer**

**Asked By: LUFFY**

**submit your answer**

**Joshi sir comment**

$Letthelinesinthepairare{m}_{1}x-y=0and{m}_{2}x-y=0\phantom{\rule{0ex}{0ex}}Findperpendicularsfrom({x}^{,},{y}^{,})onlinesandcalculatetheirsum\phantom{\rule{0ex}{0ex}}Useformulae{m}_{1}+{m}_{2}=-\frac{2h}{b}and{m}_{1}{m}_{2}=\frac{a}{b}\phantom{\rule{0ex}{0ex}}$Inform for any issue

**Asked By: LUFFY**

**read solutions ( 1 ) | submit your answer**

**Joshi sir comment**

length for one turn = 3

Draw diagonal of a rectangle then turn it as a cylinder, you will get the construction given in the question.

$Intrianglel=\sqrt{{3}^{2}+{n}^{2}}\phantom{\rule{0ex}{0ex}}Sototallengthofwirehavingnturn=n\sqrt{{3}^{2}+{n}^{2}}\phantom{\rule{0ex}{0ex}}Comparewith20andsolve$