Jee Advanced
Definite Integration
JEE Advanced 2022 Paper 1 Online
MCQM+4 / -22022
Consider the equation
\(\int_{1}^{e} \frac{\left(\log _{\mathrm{e}} x\right)^{1 / 2}}{x\left(a-\left(\log _{\mathrm{e}} x\right)^{3 / 2}\right)^{2}} d x=1, \quad a \in(-\infty, 0) \cup(1, \infty)\)
Which of the following statements is/are TRUE?