1.

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`

Answer» Correct Answer - 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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