JEE PYQ

[JEE Advanced 1982] the largest interval for which x 12 x 9 x 4 x 1 0

VAVidaara Admin Asked 2d ago 1 views 1 answer

The largest interval for which $x^{12}-x^9+x^4-x+1>0$ is

(a) $-4<x\le0$
(b) $0<x<1$
(c) $-100<x<100$
(d) $-\infty<x<\infty$

1 Answer

VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 2d ago ▲ 0

Correct answer: (d) $-\infty<x<\infty$

Grouping shows the expression is positive for every real $x$, so the interval is all of $\mathbb R$.

JEE Advanced 1982 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.

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