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The probability that the graph of y=16x^...

The probability that the graph of `y=16x^2 +8(a +5)x-7a-5=0,` is strictly above the x-axis, If `a in [-20,0]`

A

`14/20`

B

`14/21`

C

`13/21`

D

`13/20`

Text Solution

Verified by Experts

The correct Answer is:
D
`16x^(2)+8(a=5)x-7a-5gt0AAxepsilonR`
`:.Dlt0`
`implies64(a+5)^(2)-4.16(-7a-5)lt0`
`implies(a+15)(a+2)lt0`
`implies-15ltalt-2`
`implies` Required probability `=13/20`
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