[JEE Main 2002] the product of the real roots of t 2x 2 x 9 0
The product of the real roots of $t^2x^2+|x|+9=0$
(a) is always positive
(b) is always negative
(c) does not exist
(d) none of these
1 Answer
Correct answer: (c) does not exist
Every term $t^2x^2,|x|,9$ is $\ge0$ with $9>0$, so the left side is always positive — there are no real roots, hence the product does not exist.
JEE Main 2002 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.
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