GATE Electrical Engineering (EE) 2018 Solved Paper

Question : 4 of 65

Marks: +1, -0

Functions,

F(a, b)

and

G(a, b)

are defined as follows:

F(a, b)=(a-b)^{2}

and

G(a, b)=|a-b|

, where

|x|

represents the absolute value of

x

. What would be the value of

G(F(1,3), G(1,3))

Solution:

F(a, b) \;\; =(a-b)^{2}

G(a, b) \;\; =|a-b|

G(F(1,3), G(1,3)) \;\; =G((1-3)^{2},|1-3|)

=G(4,2)

=|4-2|=2

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