JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

x = {\log _a}\left( {bc} \right),y = {\log _b}\left( {ca} \right)

and

z = {\log _c}\left( {ab} \right),

then which of the following is correct?

View answer and explanation

Correct option: B

\frac{1}{{1 + x}} + \frac{1}{{1 + y}} + \frac{1}{{1 + z}} = 1

Option B (

\frac{1}{{1 + x}} + \frac{1}{{1 + y}} + \frac{1}{{1 + z}} = 1

) is correct because it simplifies to a logarithmic identity equal to 1.

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