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[Post New]2 Dec 2007 00:13:12 IST
    Subject: Challenge
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tarinbansal (3903)

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In the figure a square is given with each side=1 unit.
Four points A,B,C,D are taken arbritrarily on the 4 sides of the square and a quadrilateral is formed by joining them with sede lengths a,b,c,d.
 
Find the minimum value of a2 + b2 + c2 + d2 .
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[Post New]2 Dec 2007 00:13:43 IST
    Subject: Challenge
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tarinbansal (3903)

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Rate me if you think the question was useful and challenging.
The quality of a person's life is in direct proportion to their commitment to excellence, regardless of their chosen field of endeavor.

It is during our darkest moments that we must focus to see the light.

Check out my blog at:
http://tarinbansal.blogspot.com/

Posts:
Can marks really judge a student??
Some myths about Chemical Engineering.
(A must see for every student)

Back to goiit, this time with Baby Veerappan. :D
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[Post New]2 Dec 2007 12:59:51 IST
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rajatsen91 (817)

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( a^2 + b^2 + c^2 + d^2)/4>=(abcd)^1/2
this min is reached when a=b=c=d
when this happens, then a=b=c=d = 1/(2)^1/2
so min value of a^2 + b^2 + c^2 + d^2 is 4*1/2 = 2
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[Post New]2 Dec 2007 18:42:26 IST
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tarinbansal (3903)

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Rajat,
your answer is right but the solution not satisfactory.
How can you prove that min is reached when a=b=c=d?
The quality of a person's life is in direct proportion to their commitment to excellence, regardless of their chosen field of endeavor.

It is during our darkest moments that we must focus to see the light.

Check out my blog at:
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Posts:
Can marks really judge a student??
Some myths about Chemical Engineering.
(A must see for every student)

Back to goiit, this time with Baby Veerappan. :D
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