4 April Mathematics JEE Main 2025 Question Paper OUT with Answer Key Session 2

4 April Mathematics JEE Main 2025 Question Paper with Answer Key Session 2

4 April Mathematics JEE Main 2025 Question Paper: The JEE Main Mathematics question paper for April 4, 2025, and comprehensive answer key solutions prepared by our subject matter experts are available to test takers on this website. All 25 of the mathematics section's questions, which we collect from test takers at the end of each shift, are included in this comprehensive resource. To better comprehend the content, candidates can also view the unofficial answers to each question. We will provide links to PDF solutions and answer keys from reputable coaching centers such as Resonance, Vedantu, BYJU's, and Aakash in addition to our answer key. By offering various approaches to answering the questions, these materials are meant to aid in your preparation and review process.

4 April Mathematics JEE Main 2025 Shift 2 Question Paper with Answer Key

Obtain the Mathematics question paper and answer key solutions for the evening shift exam on Day 3 for Session 2 and calculate your scores. You can also check JEE Main April 4 Shift 2 Paper Review 2025 here.

Q.No.	Question	Answers
1		cot -1 (1/2)
2		2
3
4	If a be the non real root of the equation 1 + x + x2 = 0. Find n if	11
5		27 + 6ln 2 /10
6	Let A = (-3, -2, -1, 0, 1, 2, 3) and xRy2x-y E (0,1). If I is number of elements in given relation, m and n are minimum number of elements to be added to make it reflexive and symmetric, respectively. Then I + m + n equals to	17
7	If 1 2 - 15 C 1 +2 2 15 C 2 +.....+ 15 2 . 15 C 15 is equal to 2 n x3 m x5 k , then m + n+k is equal to	19
8	In ΔABC if A is (2, -3, 1), B is (3, -1, -5) and C is (1, -4, -4). If G is the centroid of ΔABC, then 6((AG) 2 + (BG) 2 + (CG)2) is equal to	164
9	The sum of three terms in A.P. "A" is 36. and product is p and for A.P. "B" sum is of three terms and p+q/p-q = 19 given D = d +3. Find the value of p-q. (where d and D are common difference of A.P. "A" and "B", resp.)	540
10	The area bounded between the tangent of a parabola y² = x - 2 which passes through (-4, 0) with positive slope, x-axis, and the parabola is (in square units)	9/2 √6

4 April Mathematics JEE Main 2025 Shift 1 Question Paper with Answer Key

For the morning shift of the second session exam on Day 3, access the Mathematics question paper along with the answer key solutions below. You can also check JEE Main Shift 1 Paper Review 2025 April 4 here.

Q.No.	Question	Answers
1		2 (tan-1 e- π/4)
2	If the equation of an ellipse E is x 2 /9 + y 2 /16 = 1 then the length of latus rectum of E is	9/2
3	The sum of the series 1+3+5 2 +7+9 2 + ... upto 80 terms is	338160
4	Let there be two A.P's with each having 2025 terms. Find the number of distinct terms in union of these two A.P.'s, second A.P. is 9, 16, 23, ... first A.P. is 1, 6, 11, ... and Second A.P. is 9, 16, 23....	3761
5	Consider a committee of 12 members is formed randomly out of 4 Engineers, 2 Doctors and 10 Professors. Find the probability that the committee has exactly 3 Engineers and 1 Doctor.	16
6	The number of integral values of n ∈ N for which the equation x² + 4x - n = 0, η ∈ [20,100] have roots, is	6
7	Let 1x-51 ≤ 4√x. If the Area enclosed is A, then 3A equals to	368
8		4/5
9	Find the length of latus rectum of an ellipse if foci are (2, 5) and (2, -3) and the eccentricity of the ellipse is	18/5
10		-6
11	Let a and ẞ be the number of points where the function, f(x) = max(x, x³, x 5 , ..., x 21 } is not continuou differentiable respectively, then find a + B	3
12	If , then the area bounded by the curve y = f(x) and coordinate axes is (in square units)	1/2
13
14	There are 10 pens such that 3 pens are defective. Let X represent the number of defective pen selerted. If two pens are selected at random then variance of X is	28/75
15		90
16		14

4 April Mathematics JEE Main 2025 Question Paper PDF Download

Download the JEE Main Mathematics question paper and answer key for April 4, 2025, from CollegeDekho, as provided above in PDF format:

4 April JEE Main 2025 Question Paper: Physics and Chemistry

Check and download the JEE Main question paper for Physics and Chemistry from April 4, 2025, here.

4 April Mathematics JEE Main 2025 Question Paper PDFs by Coaching Institutions

Both Shift 1 and Shift 2 of the JEE Main on April 4, 2025, have had their Mathematics answer keys and question paper PDF links published, as released by Resonance, Aakash, and Vedantu in the table below.

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