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Question

If the roots of the equation: ax2+bx+c=0,a>0 be each greater than unity, then:

A
a+b+c>0
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B
abc>0
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C
a+b+c>0
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D
a+b+c=0
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E
None of these
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Solution

The correct option is A a+b+c>0

Soln:

Both the roots are greater than 1 and a > 0. So, the graph of the equation will be:

f(x)=ax2+bx+c

f(1)>a+b+c>0

Hence option (a)


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