JEE-ADVANCED SERIES Mathematics
Linear Equations
2 previous year questions.
Volume: 2 Ques
Yield: Medium
High-Yield Trend
1
2025 1
2022 Chapter Questions 2 MCQs
01
PYQ 2022
hard
mathematics ID: jee-adva
Let p, q, r be non-zero real numbers that are, respectively, the 10th, 100th and 1000th terms of a harmonic progression. Consider the system of linear equations
x + y + z = 1
10x + 100y + 1000z = 0
qr x + pr y + pq z = 0
x + y + z = 1
10x + 100y + 1000z = 0
qr x + pr y + pq z = 0
List-I | List-II | ||
|---|---|---|---|
| (I) | If , then the system of linear equations has | (P) | x = 0, as a solution |
| (II) | If , then the system of linear equations has | (Q) | as a solution |
| (III) | If then the system of linear equations has | (R) | infinitely many solutions |
| (IV) | If then the system of linear equations has | (S) | no solution |
| (T) | at least one solution | ||
1
(I) → (T); (II) → (R); (III) → (S); (IV) → (T)
2
(I) → (Q); (II) → (S); (III) → (S); (IV) → (R)
3
(I) → (Q); (II) → (R); (III) → (P); (IV) → (R)
4
(I) → (T); (II) → (S); (III) → (P); (IV) → (T)
02
PYQ 2025
medium
mathematics ID: jee-adva
Let denote the set of all real numbers. Let be a function such that for all , and for all .
Let the real numbers be in an arithmetic progression. If , and $ $ is __________.
Let the real numbers be in an arithmetic progression. If , and $ $ is __________.