GATE 2020 MT – Question 29

Engineering Mathematics · Calculus and vector calculus · 1 mark · Multiple choice

The functions $y=e^x$ and $y=e^{-x}$ intersect at

Show answer and explanation

Correct answer: (C) (0,1)

Explanation

At intersection $e^x=e^{-x}$, hence $e^{2x}=1$ and x = 0 for real x. Substituting into either function gives y = 1. Therefore C, (0,1).

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