AP ICET 2015 Paper

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Question : 75 of 200

Marks: +1, -0

\{x^2:x

is an integer

|x-2| < 4\}=

$\{-1,0,1,2,3,4,5\}$
$\{1,4,9,16,25\}$
$\{0,1,2,4,9,16\}$
$\{0,1,4,9,16,25\}$

Solution:

[

x^2

: x is an integer, |x-2|< 4}
Given :

|x-2|< 4

–4 < (x-2) < 4

–2 < x < 6

⇒x=\{–1,0,1,2,3,4,5\}

∴x^2=\{0,1,4,9,16,25\}

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