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Consider a quadratic equation ax^2 + bx...

Consider a quadratic equation `ax^2 + bx + c = 0` having roots `alpha, beta`. If `4a + 2b + c > 0,a-b+c < 0 and 4a - 2b + C > 0` then `|[alpha] + [beta]|` can be {where [] is greatest integer}

A

`-2`

B

`-1`

C

0

D

1

Text Solution

Verified by Experts

The correct Answer is:
1,2,3
Form the given conditions we have following possible graph of `y = f(x)` Form the graph.
`[alpha] = 0 or 1, [beta] = - 2 or -1`
`therefore [alpha] + [beta]` can be `-1,0,-2`
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