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GATE 2023
August 11, 2023
GATE 2023
August 11, 2023
GATE 2023
August 11, 2023
GATE 2023
August 11, 2023

GATE 2023

Question 9
f(x) and g(y) are functions of x and y, respectively, and f(x) = g(y) for all real values of x and y. Which one of the following options is necessarily TRUE for all x and y?
A
f(x)=0 and g(y ) = 0
B
f(x)=g(y )=constant
C
f(x)≠constant and g(y)≠ constant
D
f(x)+g(y)-f(x)-g(y)
Correct Answer: B
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