co-ordinate geometry-2

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

2 Answers

11
Mani Pal Singh ·

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

11
Mani Pal Singh ·

ooooo TOPPER (AIR 1 )
WATS THE ANSWER TO THIS ONE

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