IIT JEE RELATIONS AND FUNCTIONS Let `f(x)=([a]^2-5[a]+4)x^3-(6{a}^2-5{a}+1)x-(tanx)xsgnx` be an e...
180 views · Published 22 September 2017 · 7:40 · Indexed 27 October 2026
Channel: Doubtnut · 2017 · Education
This is the Solution of question from Cengage Publication Math Book Calculus Chapter 6 RELATIONS AND FUNCTIONS 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/Cd9iRZJExR
Let `f(x)=([a]^2-5[a]+4)x^3-(6{a}^2-5{a}+1)x-(tanx)xsgnx`
be an even function for all `x in Rdot`
Then the sum of all possible values of `a`
is (where `[dot]a n d{dot}`
denote greatest integer function and fractional part function,
respectively).
`(17)/6`
(b) `(53)/6`
(c) `(31)/3`
(d) `(35)/3`
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