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JEE Class main Answered

Please solve this 
Asked by Surjitsp6u | 22 Aug, 2019, 09:26: PM
Expert Answer
In the first option i.e. 2A
x squared equals 2
rightwards double arrow x equals plus-or-minus square root of 2 space w h i c h space i s space n o t space a n space i n t e g e r
T h e r e f o r e comma space 2 A space i s space n o t space a n space i n t e g e r space a c c o r d i n g space t o space t h e space d e f i n i t i o n space o f space f left parenthesis x right parenthesis
I n space t h e space 2 n d space o p t i o n space i. e. space A
x squared equals 1 space
rightwards double arrow x equals plus-or-minus 1 space w h i c h space i s space a n space i n t e g e r
T h e r e f o r e comma space A space i s space a n space i n t e g e r.
I n space t h e space 3 r d space o p t i o n space i. e. space A plus B plus C
x squared equals 1 equals x
rightwards double arrow x equals 1 space w h i c h space i s space a n space i n t e g e r
T h e r e f o r e comma space A plus B plus C space i s space a n space i n t e g e r
I n space t h e space 4 t h space o p t i o n space i. e. space C
x squared equals 0 equals x
rightwards double arrow x equals 0 space w h i c h space i s space a n space i n t e g e r
T h e r e f o r e comma space C space i s space a n space i n t e g e r
Hence, out of the following only 2A is not an integer
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