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Question

For y=ax2+bx+c,a>0 and α,β be the roots of ax2+bx+c=0 such that α<β. Then y<0 for all x

A
(α,β)
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B
(β,)
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C
(,α)
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Solution

The correct option is A (α,β)
Given y=ax2+bx+c,a>0
And α,β are the two roots of the equation.
So, we can visualize the graph as shown:

Now, from the graph we can observe that between α & β,y<0
y<0x(α,β)

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