JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Analyzing +4 | -1

a,\;b,\;c

are distinct positive numbers each being different from 1 such that

\left( {{{\log }_b}a.{{\log }_c}a - {{\log }_a}a} \right) + \left( {{{\log }_a}b.{{\log }_c}b - {{\log }_b}b} \right) + \left( {{{\log }_a}c.{{\log }_b}c - {{\log }_c}c} \right) = 0

, then

abc

View answer and explanation

Correct option: C

Option C (1) is correct because simplifying the given logarithmic expression leads to log(abc) = 0, which implies abc = 1.

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