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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: 1st KILLER Q. OVER
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fused_bulb (233)

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FANTASTIC ARJUN
 

INDEED , THE RANGE IS ( 1 , 2 )
BUT THIS WILL NOT DO
U HAVE TO GIVE ME A PROPER  WRITTEN PROOF  TO GET UR 20 RATING POINTS.................

............tseb eht ma i
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Arjun (812)

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@aatish ..jus put a=b=c=d

u get 4/3..........which is defenetely greater than 1.......

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fused_bulb (233)

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THE ANSWER IS OUT............
ANYBODY WITH THE PROOF.......

............tseb eht ma i
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fused_bulb (233)

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THE PROOF IS NOT THAT EASY....................

............tseb eht ma i
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Arjun (812)

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hey we can xpress da given sum as

1-(b+d)/a+b+d +1-(a+c)/a+b+c +1-(b+d)/b+c+d +1 -(a+c)/a+c+d

we gt

4-(the value above)

suppose we take a=b=1

nd make c and d very less....so tat dey can b ignored......

on eliminating by ignoring c and d in da above equation.......we get da max value as 1........

similarly if we say a=c=1 and ignore b and d making dem very less.....positive.....we get a max value of.....2

so even by trial an error all values lie between (1,2)

wat do ya say......is it correct?///

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fused_bulb (233)

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WELL TRIED BUT INCORRECT

SEE, U GET VALUES 1 AND 2 FOR SPECIFIC VALUES OF a,b,c,d .

WHAT U MUST TRY TO PROVE SOMEHOW IS THAT THE ANSWER
WILL BE B/W 1 AND 2 FOR EVERY a,b,c,d

............tseb eht ma i
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Arjun (812)

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i hav done it na.........or no.....

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fused_bulb (233)

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not quite so......

THE SOLUTION WHICH I WILL GIVE IS WAY BETTER THAN THIS .
THE ACTUAL SOLUTION ( just 4-5 lines ) is mindblowing

............tseb eht ma i
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Arjun (812)

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i think we hav to xpress the whole thing under a common denominator like......a+b+c+d........

wat do u say??

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fused_bulb (233)

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c, u have to earn ur points

u have to give a very pure solution

but i still appreciate ur efforts.

............tseb eht ma i
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fused_bulb (233)

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as far as ur common denominator  theory goes , ur pretty close but i am smelling something fishy.

i hope ur doing this all alone.........

............tseb eht ma i
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fused_bulb (233)

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WHAT HAPPENED , ARJUN ................

............tseb eht ma i
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Arjun (812)

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naaaaaaaa......man.jus gettin some weird ideas after doin a pageful of scribblin.....

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fused_bulb (233)

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OK , IF U WISH , THEN CARRY ON WITH UR WORK.

I'LL REVEAL THE PROOF BY TOMORROW , 9 AM

............tseb eht ma i
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