Product of real roots of equation {t^2}{x^2} + |x| + ,9 = 0

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4-2.Quadratic Equations and Inequations

easy

Product of real roots of the equation ${t^2}{x^2} + |x| + \,9 = 0$

A

Is always positive

B

Is always negative

C

Does not exist

D

None of these

(AIEEE-2002)

Solution

(c) Note that for $t \in R,\,{t^2}{x^2} + |x| + \,9 \ge 9$ and hence the given equation can not have real roots.

Standard 11

Mathematics

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