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IIT JEE CONTINUITY AND DIFFERENTIABILITY Let `(f(x+y)-f(x))/2=(f(y)-a)/2+x y` for all real `xa n ...

12 views · Published 20 February 2018 · 10:03 · Indexed 23 September 2026

Channel: Doubtnut · 2018 · Education

This is the Solution of question from Cengage Publication Math Book Daily Practise Problem(DPP) Chapter 6 CONTINUITY AND DIFFERENTIABILITY written By G. Tewani. You can Find Solution of all math questions from CENGAGE BOOK on our app DOUBTNUT for free. Download Doubtnut from - https://doubtnut.app.link/ynHr5FeWvR

Let `(f(x+y)-f(x))/2=(f(y)-a)/2+x y`
for all real `xa n dydot`
If `f(x)`
is differentiable and `f^(prime)(0)`
exists for all real permissible value of `a`
and is equal to `sqrt(5a-1-a^2)dot`
Then
`f(x)`
is positive for
 all real `x`

`f(x)`
is negative for
 all real `x`

`f(x)=0`
has real roots
Nothing can be said about the sign of `f(x)`

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IIT JEE CONTINUITY AND DIFFERENTIABILITY Let `(f(x+y)-f(x))/2=(f(y)-a)/2+x y` for all real `xa n ...

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