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29 Aug 2019, 17:29
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
38% (02:00) correct
62%
(01:41)
wrong
based on 209
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Not Attempted Yet
\(\frac{|a+b|}{|a|+|b|} + \frac{|b+c|}{|b|+|c|} +\frac{|c+a|}{|c|+|a|}= M\)
What is the difference between maximum and minimum value of M?
A. 1
B. 1.5
C. 2
D. 2.5
E. 3
What is the difference between maximum and minimum value of M?
A. 1
B. 1.5
C. 2
D. 2.5
E. 3
nick1816
\(\frac{|a+b|}{|a|+|b|} + \frac{|b+c|}{|b|+|c|} +\frac{|c+a|}{|c|+|a|}= M\)
What is the difference between maximum and minimum value of M?
A. 1
B. 1.5
C. 2
D. 2.5
E. 3
What is the difference between maximum and minimum value of M?
A. 1
B. 1.5
C. 2
D. 2.5
E. 3
\(\frac{|a+b|}{|a|+|b|} + \frac{|b+c|}{|b|+|c|} +\frac{|c+a|}{|c|+|a|}= M\)
What is the difference between maximum and minimum value of M?
Minimum value of the expression is 1 when a=-b ; b=-c; a=-b=c
Maximum value of expression is when
a,b & c have same sign
The maximum value of the expression =3
Difference = 3-1=2
IMO C
Posted from my mobile device
General Discussion
30 Aug 2019, 17:39
Kudos
Bookmarks
Highlighted part is not correct. It's true only when a=b=c=0 (this case is not possible in this question)
if a=-b and b= -c
then a must be equal to c
At a=-b=c, M has the minimum value that is 1.
\(\frac{|a+b|}{|a|+|b|} + \frac{|b+c|}{|b|+|c|} +\frac{|c+a|}{|c|+|a|}= M\)
What is the difference between maximum and minimum value of M?
Minimum value of the expression is 0 when a=-b ; b=-c; c= -a
Maximum value of expression is when
a,b & c have same sign
The maximum value of the expression =3
Difference = 3
IMO E
Posted from my mobile device
if a=-b and b= -c
then a must be equal to c
At a=-b=c, M has the minimum value that is 1.
Kinshook
nick1816
\(\frac{|a+b|}{|a|+|b|} + \frac{|b+c|}{|b|+|c|} +\frac{|c+a|}{|c|+|a|}= M\)
What is the difference between maximum and minimum value of M?
A. 1
B. 1.5
C. 2
D. 2.5
E. 3
What is the difference between maximum and minimum value of M?
A. 1
B. 1.5
C. 2
D. 2.5
E. 3
\(\frac{|a+b|}{|a|+|b|} + \frac{|b+c|}{|b|+|c|} +\frac{|c+a|}{|c|+|a|}= M\)
What is the difference between maximum and minimum value of M?
Minimum value of the expression is 0 when a=-b ; b=-c; c= -a
Maximum value of expression is when
a,b & c have same sign
The maximum value of the expression =3
Difference = 3
IMO E
Posted from my mobile device
