🛠️ JEE➗ Maths

Let \([x]\) denote the greatest integer less than or equal to \(x\). Then, the values of \(x \in R\) satisfying the equa…

Q1

Let \([x]\) denote the greatest integer less than or equal to \(x\). Then, the values of \(x \in R\) satisfying the equation \(\left[e^x\right]^2+\) \(\left[e^x+1\right]-3=0\) lie in the interval:

[JEE Main 2021, 22 Jul (Shift 2)]

a

\([1, e)\)

b

\(\left[\log _e 2, \log _e 3\right)\)

c

\(\left[0, \log _e 2\right)\)

d

\([0,1 / e)\)

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