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If \(\lim _{x\to \infty }\left(\sqrt{{x}^{2}-x+1}-ax\right)=b\), then the ordered pair (a, b) is : [JEE Main 2021, 27 Au…

Q1

If \(\lim _{x\to \infty }\left(\sqrt{{x}^{2}-x+1}-ax\right)=b\), then the ordered pair (a, b) is :

[JEE Main 2021, 27 Aug (Shift 2)]

a

\(\left(-1,\frac{1}{2}\right)\)

b

\(\left(-1,-\frac{1}{2}\right)\)

c

\(\left(1,-\frac{1}{2}\right)\)

d

\(\left(1,\frac{1}{2}\right)\)

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