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Question

If both the roots of ax2+bx+c=0 are negative and b<0, then which of the following statements is always true?

A
a<0,c>0
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B
a<0,c<0
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C
a>0,c>0
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D
a>0,c<0
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Solution

The correct option is B a<0,c<0
When the roots are negative, then the x coordinate of vertex of the parabola is also negative.
b2a<0a<0 (b<0)
The graph of the parabola will be like,


The graph will intersect with negative yaxis, so
c<0

Hence, a<0,c<0

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