Mathematics · Functions

JEE Advanced 2024 — Paper 2 — Question 37

If the value of n(Y)+n(Z)n(Y)+n(Z) is k2k^{2}, then ∣k∣|k| is \qquad

Answer: 36

Numerical answer — enter this value.

Step-by-step solution

n(Y)=0\quad n(Y)=0, as no relation RR have only one element as its range n(Z)=4×3×3×3×3×4=1296n(Z)=4 \times 3 \times 3 \times 3 \times 3 \times 4=1296 as n(Y)+n(Z)=k2=1296\mathrm{n}(\mathrm{Y})+\mathrm{n}(\mathrm{Z})=\mathrm{k}^{2}=1296 ∴k=36\therefore \mathrm{k}=36

Answer key and solution verified before publishing.

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Exam
JEE Advanced 2024
Paper
Paper 2
Subject
Mathematics
Chapter
Functions
Topic
One-One, many-one, onto, into, bijective functions
If the value of n(Y)+n(Z) is k 2 , then k is | JEE Advanced 2024 PYQ with Solution · DhiX AI