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Q.

A subset of all values of x satisfying x=xx where x represents greatest integer function  x and x represents fractional part of x, is

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a

0

b

-12

c

-1

d

R-0

answer is A.

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Detailed Solution

x=xx     x=xx-x=x2-xx⇒x=x21+xNow   0≤x<1⇒  x21+x≥0⇒1+x>0⇒x>-1      x21+x<1⇒ x2<1+x⇒ x2-x-1<0⇒1-52
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