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

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

For positive non-zero real variables π‘₯ 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 ofΒ 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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