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 Ba<0,c<0 When the roots are negative, then the x coordinate of vertex of the parabola is also negative. −b2a<0⇒a<0(∵b<0)
The graph of the parabola will be like,
The graph will intersect with negative y−axis, so c<0