JEE Mains 2020 Model Paper 2 New Pattern

Multiply by y,z and x in rows 1,2 and 3 respectively and then take common y, z and x from column 1,2 and 3 respectively, then
|

y3+1	y3	y3
z3	z3+1	z3
x3	x3	x3+1

| = 11
⇒ |

1	0	y3
−1	1	z3
0	−1	x3+1

| = 11
(C1 → C1−C2 and C2 → C2−C3)
⇒ 1(x3+1+z3)+y3(1) = 11 ⇒ x3+y3+z3 = 10
So solution are (1,1,2) , (1,2,1) or (2,1,1)