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Consider a quadratic expression f (x) =t...

Consider a quadratic expression `f (x) =tx^(2) -(2t -1) x+ (5x -1)`
If `f (x)` can take both positive and negative values then t must lie in the interval

A

`((-1)/(4 ),(1)/(4))`

B

` (-oo, (-1)/(4))uu ((1)/(4))`

C

`((1)/(4))={0}`

D

`(-4,4)`

Text Solution

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The correct Answer is:
C
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