JEE Main Mathematics Most Expected Questions 2025

Chitwan Sharma

Updated On: April 02, 2025 05:12 AM

Based on the questions that appeared last year from all chapters, JEE Main Mathematics Most Expected Questions 2025 have been provided on the page below.

JEE Main Mathematics Most Expected Questions 2025JEE Main Mathematics Most Expected Questions 2025

JEE Main Mathematics Most Expected Questions 2025: The National Testing Agency (NTA) is all set to conduct the JEE Main 2025 Session 2 exam on April 2, 3, 4, 7 and 8, 2025. For the aspirants who are looking for study materials or expected question paper, we have brought the JEE Main Mathematic 2025 Most Expected Questions to practice. These lists of questions are curated by the experts after analysing the previous year’s pattern, model/sample papers and latest JEE Main pattern and syllabus. By practising these questions, candidates can enhance their preparation and increase their chances of qualifying for the exam.
Aspirants also must note that the exact questions listed below will not be repeated; the core concepts behind the most anticipated problems are expected to remain consistent, with only numerical values and problem structures being altered.

JEE Main Mathematics Most Expected Questions 2025

Based on the previous year’s trends, from each chapter, the JEE Main Mathematics Most Expected Questions 2025 are provided in the following table:

Serial Number

Questions

1.

For what values of ‘a’ exactly one root of the equation 2 a x 2 – 4 a x + 2 a − 1 = 0, lies between 1 and 2.

2.

Let α be the root of the equation 1 + x 2 + x 4 = 0. Then the value of α 1011 + α 2022 + α 3033 is equal to

3.

If complex number z satisfies |z| = 1 and amp (z - 1) = 2π/3, then which of the following is INCORRECT?

4.

The sum of the common terms of the following three arithmetic progressions.
3, 7, 11, 15, ………, 399,
2, 5, 8, 11, ………..., 359, and
2, 7, 12, 17, …………, 197, is equal to ______?

5.

When (20) 13 + (13) 20 is divided by 9, then the remainder is

6.

The equation of line segment AB is y = x. If A and B lie on the same side of line mirror 2x - y = 1, then the equation of image AB with respect to the line mirror 2x - y = 1 is:

7.

Let ABC be a triangle. Let A be the point (1, 2), y = x is the perpendicular bisector of AB and x - 2y + 1 = 0 is the angle bisector of angle C. If the equation of BC is given by ax + by - 5 = 0, then the value of a + b is:

8.

Two lines are drawn through (3, 4), each of which makes an angle of 45° with the line x - y = 2. Then area of the triangle formed by these lines is:

9.

AB is a chord of x 2 + y 2 = 4 and P (1, 1) trisects AB. Then the length of the chord AB is:

10.

If two distinct chords of a parabola y 2 = 4ax passing through (a, 2a) are bisected on the line x + y = 1, then the sum of integral values of the length of possible latus rectums is equal to _____?

11.

The foci of an ellipse are (-2, 4) and (2, 1). The point (1, 23/6) is an extremity of minor axis. What is the value of eccentricity?

12.

An ellipse having foci at (3, 3) and (-4, 4) and passing through the origin has eccentricity equal to:

13.

Let a be an integer such that all the real roots of the polynomial 2x 5 + 5x 4 + 10x 3 + 10x 2 + 10x + 10 lie in the interval (a, a + 1). Then |a| is equal to _____?

14.

Find all possible values of ‘a' for which f(x) = log a (4ax - x 2 ) is strictly increasing for every x ∈ [3/2, 2].

15.

Compute the area of the figure bounded by the parabolas x = -2y 2 , x = 1 – 3y 2 .

16.

Find the area enclosed by the line y = x - 1 and the parabola y 2 = -2x + 6.

17.

Let A and B are non-singular matrices of order 3 such that |A| = 5 and A -1 B 2 + AB = 0, then A 2 |A 2 | - adj (adj B) is equal to

18.

If the system of linear equations: (a - 1) x + z = α, x + (b - 1)y = β and y + (c - 1)z = γ where a, b, c ∈ I and α, β, γ ∈ R, does not have a unique solution, then maximum possible value of |a + b + c| is

19.

The foot of perpendicular from (2, 4, -1) to the line x + 5 = 1/4(y+3) = -1/9(z−6) is

20.

The line x+6/5 = y+10/3 = z+14/8 is the hypotenuse of an isosceles right-angled triangle whose opposite vertex is (7, 2, 4). Then, which of the following is not the side of the triangle?


Also read | JEE Main Question Paper 2 April 2025 Live Updates

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