Let S=N \0. Define a relation R from S to R by: R=\(x, y): log e y = x log e (x/5), x S, y R. Then, the sum of all the elements in the range of R is equal to:

Sets, Relations and Functions: JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q144

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumSets, Relations and Functions168× since 2002

Let

S=\mathbb{N} \cup \{0\}

. Define a relation

R

from

S

\mathbb{R}

by:

R=\left\{(x, y): \log_e y = x \log_e \left(\frac{x}{5}\right), x \in S, y \in \mathbb{R}\right\}

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

R

is equal to: