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Question

Graph of y=ax2+bx+c=0 is given. What conclusions can be drawn from this graph?
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A
a>0
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B
b<0
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C
c<0
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D
b24ac>0
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Solution

The correct options are
A a>0
B b<0
C c<0
D b24ac>0
Since parabola is upward a>0
Curve is crossing x-axis at two points roots are real b24ac>0
Roots are of opposite signs c/a<0c<0
Also magnitude of +ve root is larger sum of roots >0
b/2a>0b<0
Hence all the options are correct.

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