1
JEE Advanced 2022 Paper 2 Online
MCQ (Single Correct Answer)
+3
-1
The reaction of $\mathrm{Pb}\left(\mathrm{NO}_{3}\right)_{2}$ and $\mathrm{NaCl}$ in water produces a precipitate that dissolves upon the addition of $\mathrm{HCl}$ of appropriate concentration. The dissolution of the precipitate is due to the formation of
A
$\mathrm{PbCl}_{2}$
B
$\mathrm{PbCl}_{4}$
C
$\left[\mathrm{PbCl}_{4}\right]^{2-}$
D
$\left[\mathrm{PbCl}_{6}\right]^{2-}$
2
JEE Advanced 2022 Paper 2 Online
MCQ (Single Correct Answer)
+3
-1
Treatment of D-glucose with aqueous $\mathrm{NaOH}$ results in a mixture of monosaccharides, which are
A
B
C
D
3
JEE Advanced 2022 Paper 2 Online
Numerical
+3
-1
Let $\alpha$ and $\beta$ be real numbers such that $-\frac{\pi}{4}<\beta<0<\alpha<\frac{\pi}{4}$.

If $\sin (\alpha+\beta)=\frac{1}{3}$ and $\cos (\alpha-\beta)=\frac{2}{3}$, then the greatest integer less than or equal to

$$\left(\frac{\sin \alpha}{\cos \beta}+\frac{\cos \beta}{\sin \alpha}+\frac{\cos \alpha}{\sin \beta}+\frac{\sin \beta}{\cos \alpha}\right)^{2}$$ is
4
JEE Advanced 2022 Paper 2 Online
Numerical
+3
-1
If $y(x)$ is the solution of the differential equation

$$x d y-\left(y^{2}-4 y\right) d x=0 \text { for } x > 0, y(1)=2,$$

and the slope of the curve $y=y(x)$ is never zero, then the value of $10 y(\sqrt{2})$ is
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