This PDF contains the Mathematics section of the JEE Main 2024 question paper, conducted on 29 January, Shift 2. It includes Section A multiple-choice questions along with complete exam instructions, marking scheme, and paper structure. The questions test conceptual understanding, analytical thinking, and accuracy across core Mathematics topics such as calculus, coordinate geometry, algebra, matrices, logarithms, and statistics.
I am writing about this paper because analysing an actual JEE Main Mathematics paper helps students clearly understand exam expectations. Instead of relying on guesswork, this paper shows how concepts are converted into real questions, what level of difficulty is maintained, and which chapters carry practical importance in the exam.
Structure of the Mathematics Question Paper
As mentioned in the PDF, the Mathematics paper is divided into two sections. Section A consists of 20 multiple-choice questions, each carrying 4 marks, with a negative marking of 1 mark for each incorrect answer. Section B consists of 10 numerical value type questions, out of which candidates are required to attempt any five. Each numerical question carries 4 marks, and there is no negative marking in Section B.
This structure encourages careful selection of questions and rewards both speed and accuracy.
Calculus and Functions
The very first question in Section A is based on application of derivatives, asking about the number of local maxima and minima of a given polynomial function. This tests understanding of critical points and behaviour of functions rather than direct differentiation alone.
Such questions indicate that calculus continues to be a core area, especially questions related to increasing–decreasing behaviour and optimisation.
Coordinate Geometry and Straight Lines
Several questions in the paper focus on coordinate geometry. One question involves finding the intersection points of two pairs of lines and then calculating the distance of a given point from the line joining those intersection points. This combines concepts of straight lines, distance formula, and geometry in a single problem.
Another question asks for the distance of a point from a line measured parallel to another line, testing understanding of direction ratios and parallel line concepts.
Statistics and Data Interpretation
The paper includes a question from statistics, where the mean and variance of five observations are given, along with the mean of the first four observations. Students are required to find the variance of the first four observations.
This is a concept-based question that checks clarity of statistical formulas and logical calculation rather than lengthy computation.
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Logarithms and Progressions
One question in Section A is based on logarithms and arithmetic progression. It states that logarithms of a, b, and c are in arithmetic progression under two different expressions and asks to find the ratio a : b : c.
This question tests algebraic manipulation, properties of logarithms, and sequence reasoning together, making it a multi-concept problem.
Matrices and Determinants
The paper also includes a question involving matrices, where two matrices A and P are given. Such questions typically test matrix multiplication, inverse, or transformation properties, requiring careful calculation and conceptual clarity.
Matrix-based questions are generally scoring if handled systematically.
Level and Nature of Questions
Based on the questions visible in the PDF, the Mathematics paper in Shift 2 is moderate in difficulty. The questions are not excessively lengthy, but many require multi-step reasoning and careful interpretation.
There is a clear emphasis on fundamentals, correct formula application, and avoiding calculation errors.
What Students Can Learn from This Paper
From this Shift 2 Mathematics paper, it is clear that:
- Calculus and coordinate geometry remain high-weightage areas
- Multi-concept questions are common
- Statistics and logarithms are used as scoring topics
- Accuracy is more important than speed alone
Solving such papers helps students improve time management and confidence.
