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If the graph of y=ax^(2)+bx+c lies compl...

If the graph of `y=ax^(2)+bx+c` lies completely above the x-axis, then

A

`b^(2) - 4ac gt 0, a gt 0`

B

`b^(2) - 4ac gt 0, a lt 0`

C

`b^(2) - 4ac lt 0, a gt 0`

D

`b^(2) - 4ac lt 0, a lt 0`

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The correct Answer is:
C
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-I
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  10. if 2x - 7 - 5x^2 has maximum value at x=a then a=

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  13. I) The maximum value of c + 2bx -x^(2) is c+b^(2) II) The minimum va...

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  14. If alpha, beta are the roots ax^(2) + bx + c = 0 and k in R. Then the ...

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