2025

JEE Main 2025

Full Paper Analysis & Solutions

Mathematics

Multiple Choice Questions

1 COMPETENCY APPLY MCQ_SINGLE 0 Mark(s) 2025
#959
Let A = { (α, β) ∈ R x R : |α - 1| ≤ 4 and |β - 5| ≤ 6} and B = { (α, β) ∈ R × R: 16(α-2)²+9(β-6)² ≤ 144}. Then
(A)
A ⊂ B
(B)
B ⊂ A
(C)
neither A ⊂ B nor B ⊂ A
(D)
A ∪ B = {(x, y) : -4 ≤ x ≤ 4, -1 ≤ y ≤ 11}
HARD
2 COMPETENCY APPLY MCQ_SINGLE 0 Mark(s) 2025
#960
Let A = {0, 1, 2, 3, 4, 5}. Let R be a relation on A defined by (x, y) ∈ R if and only if max{x,y} ∈ {3, 4}. Then among the statements
(S₁): The number of elements in R is 18, and
(S2): The relation R is symmetric but neither reflexive nor transitive
(A)
both are false
(B)
only (S₁) is true
(C)
only (S2) is true
(D)
both are true
HARD