Let A= \{x \in(0, \pi)- (\frac{\pi}{2}) : \log _{(2 \/ \pi)}| \sin x|+\log _{(2 \/ \pi)}|\cos x|=2\} and B=\{x \geq 0: \sqrt{x}(\sqrt{x}-4)-3|\sqrt{x}-2|+6=0\}. Then n(A \cup B) is equal to [24 Jan 2025 Shift 2]

JEE Main 24 Jan 2025 Shift 2 Paper

Section: Mathematics

Question : 13 of 75

Marks: +1, -0

Let
A={x∈(0,π)−(‌

):log(2∕π)|sin‌x|+log(2∕π)|cos‌x|=2}
and B={x≥0:√x(√x−4)−3|√x−2|+6=0}. Then n(A∪B) is equal to

[24 Jan 2025 Shift 2]

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