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Sets and Relations question

2025 · 29 Jan · Shift 2 · Q26

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JEE Main
Mathematics
Sets and Relations
2025 · 29 Jan · Shift 2 · Q26

Sets and Relations question

2025 · 29 Jan · Shift 2 · Q26

JEE MainMathematicsSets and RelationsMCQ+4 / −1

Let

\mathrm{S}=\mathbf{N} \cup\{0\}

. Define a relation R from S to

\mathbf{R}

by :

\mathrm{R}=\left\{(x, y): \log _{\mathrm{e}} y=x \log _{\mathrm{e}}\left(\frac{2}{5}\right), x \in \mathrm{~S}, y \in \mathbf{R}\right\} .

Then, the sum of all the elements in the range of

R

is equal to :

A
$\frac{3}{2}$
B
$\frac{10}{9}$
C
$\frac{5}{2}$
D
$\frac{5}{3}$

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