For positive non-zero real variables 𝑥 and 𝑦, if \(\ln\left(\frac{x +…

GATE · 2024 · CS · Set 2 · General AptitudeGATE · 2024 · ST · General AptitudeGATE · 2024 · XE · General AptitudeGATE · 2024 · XL · General Aptitude

For positive non-zero real variables 𝑥 and 𝑦, if

ln⁡(x+y2)=12[ln⁡(x)+ln⁡(y)]\ln\left(\frac{x + y}{2}\right) = \frac{1}{2}[\ln(x) + \ln(y)]

then, the value of xy+yx\frac{x}{y} + \frac{y}{x} is

  1. A.

    1

  2. B.

    1/2

  3. C.

    2

  4. D.

    4

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