JEE Main 2026 — 4 April, Morning Shift — Question 28

a, b, c, d $\in\{0,1,2,3,4\}$ $\mathrm{a}+\mathrm{d}=4 \mathrm{ad}-\mathrm{bc}=3$ Case-I $\mathrm{a}=0 \mathrm{~d}=4$ $0-\mathrm{bc}=3$ No solution Case-II $\mathrm{a}=1 \mathrm{~d}=3$ $3-\mathrm{bc}=3$ $\mathrm{bc}=0 \Rightarrow 9$ ways Case-III $\mathrm{a}=2 \mathrm{~d}=2$ $4-\mathrm{bc}=3$ $\mathrm{bc}=1 \Rightarrow 1$ ways Case-IV $\mathrm{a}=3 \mathrm{~d}=1$ $\mathrm{bc}=0 \Rightarrow 9$ way Case-V $\mathrm{a}=4 \mathrm{~d}=0 \Rightarrow$ No Solution Total 19 matrix