Consider the equation... | Maths | JEE ADVANCED 2022

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JEE Advance 2022

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Question

Consider the equation $$ \int_1^e \frac{\left(\log _e x\right)^{1 / 2}}{x\left(a-\left(\log _e x\right)^{3 / 2}\right)^2} d x=1, a \in(-\infty, 0) \cup(1, \infty) . $$ Which of the following statements is/are TRUE?

Select ALL correct options:

A

No a satisfies the above equation

B

An integer a satisfies the above equation

C

An irrational number a satisfies the above equation

D

More than one a satisfy the above equation

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

⚠ Partially correct. Some answers are missing.

Solution

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