AP ICET 2016 Paper

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Question : 79 of 200

Marks: +1, -0

If

a=x^{b-c},b=x^{c-a},c=x^{a-b

,then

a^{a}⋅b^{b}⋅c^{c}=

abc
1
log(abc)
0

Solution:

Given :

a=x^{b-c},b=x^{c-a},c=x^{a-b}

∴a^{a}⋅b^{b}⋅c^{c}=x^{a(b-c)}⋅x^{b(c-a)}⋅x^{c(a-b)}

=x^{(ab-ac+bc-ba+ca-bc)}

=x^0=1

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