🛠️ 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

\([0,\frac{1}{e})\)

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