1
JEE Main 2022 (Online) 28th July Morning Shift
Numerical
+4
-1
Change Language

Total number of relatively more stable isomer(s) possible for octahedral complex $$\left[\mathrm{Cu}(\mathrm{en})_{2}(\mathrm{SCN})_{2}\right]$$ will be _________.

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2
JEE Main 2022 (Online) 28th July Morning Shift
Numerical
+4
-1
Change Language

On complete combustion of $$0.492 \mathrm{~g}$$ of an organic compound containing $$\mathrm{C}, \mathrm{H}$$ and $$\mathrm{O}$$, $$0.7938 \mathrm{~g}$$ of $$\mathrm{CO}_{2}$$ and $$0.4428 \mathrm{~g}$$ of $$\mathrm{H}_{2} \mathrm{O}$$ was produced. The % composition of oxygen in the compound is ___________.

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3
JEE Main 2022 (Online) 28th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Let the solution curve of the differential equation $$x \mathrm{~d} y=\left(\sqrt{x^{2}+y^{2}}+y\right) \mathrm{d} x, x>0$$, intersect the line $$x=1$$ at $$y=0$$ and the line $$x=2$$ at $$y=\alpha$$. Then the value of $$\alpha$$ is :

A
$$\frac{1}{2}$$
B
$$\frac{3}{2}$$
C
$$-$$$$\frac{3}{2}$$
D
$$\frac{5}{2}$$
4
JEE Main 2022 (Online) 28th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Considering only the principal values of the inverse trigonometric functions, the domain of the function $$f(x)=\cos ^{-1}\left(\frac{x^{2}-4 x+2}{x^{2}+3}\right)$$ is :

A
$$\left(-\infty, \frac{1}{4}\right]$$
B
$$\left[-\frac{1}{4}, \infty\right)$$
C
$$(-1 / 3, \infty)$$
D
$$\left(-\infty, \frac{1}{3}\right]$$
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