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Anku posted an Question

July 21, 2020 • 21:21 pm

30 points

IIT JAM
Mathematics (MA)

How to solve pls show steps........

how to solve pls show steps........ and logic used...........

3 Answer(s)

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Arzoo

See the attachment
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Deepak singh 1 Best Answer

take f(x) = C any positive constant function then option c fails..
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sir i am having difficulty in option b please once give counter example
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see proof of option b ...it's true
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since f(1) and f(-1) >=0 then square root of f(1) and f(-1) is also >=0 .. so option b is true
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see detailed proof of option b
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similarly u can do proof of option a and option d
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Deepak singh 1

yes , option c is correct
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Piyush pachauri

PFA.
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sir i am having difficulty in option b please once give counter example
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Option b is correct . as f(-1) and f(1) is 5 then f(x) again turns out to be 5
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for more example take f(x) =e^x then f(-1)*f(1)=1 then at x=0 , f(x) takes the value 1.
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if still I am not getting your point , Please let me know.
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