Question
For integers π, π and π, what would be the minimum and maximum values respectively of π + π + π if log |π| + log |π| + log |π| = 0?
Options :
-3 and 3
-1 and 1
-1 and 3
1 and 3
Answer :
-3 and 3
Solution :
log| a|+ log| b |+ log| c | = 0
It is possible only, If | a |,| b | and | c | all are equal to 1.
So, a, b, c may be respectively β+1β or β-1β.
For minimum value all three will be negative.
So, minimum value = - 3
For maximum value all three will be positive.
So, maximum value = + 3.
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