If \(P{e^x} = Qe^{-x} \) for all real values of 𝑥, which one of the following…

GATE · 2025 · CS · Set 2 · General AptitudeGATE · 2025 · IN · General AptitudeGATE · 2025 · MT · General AptitudeGATE · 2025 · NM · General AptitudeGATE · 2025 · TF · General Aptitude

If Pex=Qe−xP{e^x} = Qe^{-x} for all real values of 𝑥, which one of the following statements is true?

  1. A.

    𝑃=𝑄=0𝑃 = 𝑄 = 0

  2. B.

    𝑃=𝑄=1𝑃 = 𝑄 = 1

  3. C.

    𝑃=1;𝑄=−1𝑃 = 1; 𝑄 = −1

  4. D.

    PQ=0\frac{P}{Q} = 0

Attempted by 109 students.

Sign up free to check your answer

Sign up free

Explore the full course: Gate Guidance By Sanchit Sir

Loading lesson…