JEE PYQ

[JEE Main 2002] The product of the real roots of $t^2x^2+|x|+9=0$

VAVidaara Admin Asked 1mo ago 1 views 1 answer

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

VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 1mo ago ▲ 0

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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