For positive non-zero real variables 𝑝 and π‘ž, if \(\log(p^2 + q^2) = \log p…

GATE Β· 2024 Β· CS Β· Set 1 Β· General AptitudeGATE Β· 2024 Β· AE Β· General AptitudeGATE Β· 2024 Β· AG Β· General AptitudeGATE Β· 2024 Β· BT Β· General AptitudeGATE Β· 2024 Β· MT Β· General AptitudeGATE Β· 2024 Β· NM Β· General AptitudeGATE Β· 2024 Β· TF Β· General Aptitude

For positive non-zero real variables 𝑝 and π‘ž, if

log⁑(p2+q2)=log⁑p+log⁑q+2log⁑3\log(p^2 + q^2) = \log p + \log q + 2 \log 3

then, the value ofΒ p4+q4p2q2\frac{{p^4 + q^4}}{{p^2q^2}} Β is

  1. A.

    79Β Β Β Β 

  2. B.

    81

  3. C.

    9

  4. D.

    83

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