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Question

All possible values of a, so that 6 lies between the roots of the equation x2+2(a3)x+9=0 is

A
(,2)(2,)
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B
(,34)
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C
(2,)
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D
none of these
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Solution

The correct option is B (,34)
Given equation,
x2+2(a3)x+9=0
Condition for a number 6 to lie between the roots is
f(6)<0(a.f(k)<0)
36+12(a3)+9<0
12a+9<0
a<34
a(,34)

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