Hello aspirant,

I hope that you are doing absolutely great.

With reference to your above mentioned query, I would like to tell you that yes, in JEE mains mathematics, questions from mathematical reasoning and mathematical Induction comes but it likely be only one or two questions.

Further, the JEE mains Syllabus in Mathematics consists of various Units which are summarized below and some of the main important chapters that can cpme in JEE mains are :

1. Calculus : Important Chapters are  - Limits, Differentiability and Continuity, Relationship between Continuity & Differentiability, Differentiation, Integration, Definite Integrals, Integration by Parts, properties of definite integrals, Rate Measurement, Tangents and Normal, Maxima and Minima, Differential Equations and Area under curves.

2. Co-ordinate Geometry : Focus more on Parabola, Circle, Ellipse, straight lines, and Hyperbola. Among all these, Straight Lines and Circles are the most important ones.

3. 3D geometry and Vectors : You can easily score well from this section if you understand certain complex concepts of vectors and 3D geometry properly.

4. Algebra : This unit is quite interesting and certain important topics like Logarithms, Matrices, and Determinants, and Quadratic Equations. You can also expect a few conceptual questions from Permutations and Combinations. Formula-based questions are generally asked from Sequence and Series and Binomial Theorem.

5. trignometry ; Inverse Trigonometry, Trigonometric functions, and trigonometric ratios are some of the most imperative topics where you need to focus on.

Further, if you wish to know more about the JEE mains Mathematics syllabus and chapter wise weightage then you can follow the below mentioned link : https://engineering.careers360.com/articles/jee-main-mathematics-syllabus

I hope that this will help.