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If a is an integer and a in (-5,30] then...

If a is an integer and `a in (-5,30]` then the probability that the graph of the function `y=x^(2)+2(a+4)x-5a+64` is strictly above the x-axis is

A

`(1)/(5)`

B

`(8)/(25)`

C

`(8)/(35)`

D

`(27)/(35)`

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The correct Answer is:
A
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