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The straight line whose equation is ax+by=1 where ab>0passes through (3,4) and makes a triangle of area S with the co-ordinate axis. then the least value of S is
a)12
b)24
c)6
d)7
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2 Answers
Mani Pal Singh
·2009-03-23 23:18:21
HEY
I AM TRYING SOMETHING NEW AND CREATIVE SO PLEASE BEAR IT AND DO INFORM AM I CORRECT OR NOT!!!!!!!!!
NOW I AM ASSERTING THAT THE AREA WILL BE MINIMUM IF BOTH THE LINES ARE PARALLEL
i.e SLOPE OF ax+by=1 SHOULD BE tan-14/3
SO
THIS IS MINIMUM WHEN a/b=4/3 AND IT SHOULD BE PROPORTIONAL SO a=8 AND b=6
and the area =1/2ab
=1/2X8X6=24