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The following functions are defined for ...

The following functions are defined for any two distinct, non zero integers a and b
`f_(1)(a, b)=|a|xxb^(2)`
`f_(2)(a, b)=a^(2)xx|b|`
`f_(3)(a, b)=((a^(2)+b^(2)))/(2)`
`f_(4)(a, b)=((a)/(2)+(b)/(2))`
Which one of the following is necessarily greater than zero?

A

`f_1(a,b)xx(f_2(a,b)xxf_3(a,b)`

B

`f_1(a,b)xxf_2(a,b)xxf_4(a,b)`

C

`f_1(a,b)xxf_3(a,b)xxf_4(a,b)`

D

`f_2(a,b)xxf_3(a,b)xxf_4(a,b)`

Text Solution

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The correct Answer is:
A
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