JEE PYQ

[JEE Main 2003] the real number x added to its inverse gives the minimum value of the

VAVidaara Admin Asked 2d ago 0 views 1 answer

The real number $x$ added to its inverse gives the minimum value of the sum at $x$ equal to

(a) $-2$
(b) $2$
(c) $1$
(d) $-1$

1 Answer

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

Correct answer: (c) $1$

For $x>0$, $x+\frac1x\ge2$ with equality at $x=1$ (AM–GM).

JEE Main 2003 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.

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