This post includes all questions and related answers to IIT JEE Main Examination 2025 which was held between 22 Jan – 30 Jan 2025. If you need the solution key, kindly email us at careersquareindia.in.
Subject: Mathematics
Q. The number of non-empty equivalence relations on the set {1,2,3} is :
(1) 6
(2) 7
(3) 5
(4) 4
Answer: (3) 5
Q. Let ƒ : R->R be a twice differentiable function such that ƒ(x + y) = ƒ(x) ƒ(y) for all x, y ∈ R. If
ƒ'(0) = 4a and ƒ staisfies ƒ”(x) – 3a ƒ'(x) – ƒ(x) = 0, a > 0, then the area of the region
R = {(x,y) | 0≤y ≤ ƒ(ax), 0 ≤ x ≤ 2} is :
(1) e2– 1
(2) e4+ 1
(3) e4– 1
(4) e2+ 1
Answer: (1)
Q. Let the triangle PQR be the image of the triangle with vertices (1,3), (3,1) and (2, 4) in the line x + 2y = 2. If the centroid of ΔPQR is the point (α, β), then 15(α – β) is equal to :
(1) 24
(2) 19
(3) 21
(4) 22
Answer: (4)
