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The graph of the quadratic trinomial y=ax2+bx+c has its vertex at (4, -5) and two x-intercepts, one positive and one negative. Which of the following holds good? 

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By Expert Faculty of Sri Chaitanya
a
a > 0
b
b < 0
c
c < 0
d
8a = b
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detailed solution

Correct option is A

From figure,a > 0−b2a=4 or −b2a>0∴     b<0    f(0)=c<0Also, −b2a=4 or 8a+b=0


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If the equation ax2 + bx + c = 0 (a > 0) has two real roots α and β such that α<2 and β>2, then which of the following statements is/are true?

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