1
JEE Main 2024 (Online) 29th January Evening Shift
Numerical
+4
-1
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The oxidation number of iron in the compound formed during brown ring test for NO$$_3^-$$ iron is ________.

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2
JEE Main 2024 (Online) 29th January Evening Shift
Numerical
+4
-1
Change Language

Molality of 0.8 M H$$_2$$SO$$_4$$ solution (density 1.06 g cm$$^{-3}$$) is ________ $$\times10^{-3}$$ m.

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3
JEE Main 2024 (Online) 29th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Number of ways of arranging 8 identical books into 4 identical shelves where any number of shelves may remain empty is equal to

A
18
B
16
C
12
D
15
4
JEE Main 2024 (Online) 29th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Let $$\mathrm{A}$$ be the point of intersection of the lines $$3 x+2 y=14,5 x-y=6$$ and $$\mathrm{B}$$ be the point of intersection of the lines $$4 x+3 y=8,6 x+y=5$$. The distance of the point $$P(5,-2)$$ from the line $$\mathrm{AB}$$ is

A
$$\frac{13}{2}$$
B
8
C
$$\frac{5}{2}$$
D
6
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