Q.

Product of real roots of the equation t2x2+|x|+9=0

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a

Is always positive

b

Is always negative

c

Does not exist

d

None of these

answer is C.

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Detailed Solution

Note that for t∈R, t2x2+|x|+9≥9 and hence the given equation can not have real roots.
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Product of real roots of the equation t2x2+|x|+9=0